THIRD EDITION CHING Architecture/Reference or more than thirty years, the beautifully illustrated Architecture: Form, Space, and Order has been the classic. Francis D. K. Ching, Architecture Form, Space And Order 3rd Edition. The BookReader requires JavaScript to be enabled. Please check that your browser. for buildings. The forms and spaces of any building should acknowledge the programming, designing, and making of buildings that ordering principles are.

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ARCHITECTURE Form, Space, & Order Third Edition ARCHITECTURE Form, Form and space are the critical means of architecture that comprise a design. Architecture - Form, Space and Order 3rd - Ebook download as PDF File ( .pdf) or read book online. Architecture - Form, Space and Order 3rd edition. Architecture: form space & order / Francis D.K. Ching Ching, Frank, . space, & order [electronic resource] / Francis D.K. Ching. - 3rd ed. Hoboken, N.J. .

Because this axis may be infinite in length, it can be at times more dominant than the described line. In both cases, however, the described line and the perpendicular axis are optically more dominant than the infinite number of lines that may pass through each of the individual points.

Extended vertically, the two points define both a plane of entry and an approach perpendicular to it. The Mall, Washington, D. Conceptually, a line has length, but no width or depth. Whereas a point is by nature static, a line, in describing the path of a point in motion, is capable of visually expressing direction, movement, and growth.

A line is a critical element in the formation of any visual construction. It is seen as a line simply because its length dominates its width.

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The character of a line, whether taut or limp, bold or tentative, graceful or ragged, is determined by our perception of its length—width ratio, its contour, and its degree of continuity. Even the simple repetition of like or similar elements, if continuous enough, can be regarded as a line.

This type of line has significant textural qualities. The orientation of a line affects its role in a visual construction. While a vertical line can express a state of equilibrium with the force of gravity, symbolize the human condition, or mark a position in space, a horizontal line can represent stability, the ground plane, the horizon, or a body at rest. An oblique line is a deviation from the vertical or horizontal. It may be seen as a vertical line falling or a horizontal line rising.

In either case, whether it is falling toward a point on the ground plane or rising to a place in the sky, it is dynamic and visually active in its unbalanced state. Place de la Concorde, Paris. The obelisk, which upright megalith, usually standing alone This cylindrical shaft commemorates marked the entrance to the Amon temple at Luxor, but sometimes aligned with others.

Louis Phillipe and installed in Vertical linear elements can also define a transparent volume of space. In the example illustrated to the left, four minaret towers outline a spatial field from which the dome of the Selim Mosque rises in splendor. Selim Mosque, Edirne, Turkey, A. Salginatobel Bridge, Switzerland, —30, Robert Maillart. The sculptured female figures stand as columnar supports for the Beams and girders have the bending strength to span the space entablature. Katsura Imperial Villa, Kyoto, Japan, 17th century.

Linear columns and beams together form a three-dimensional framework for architectural space. An example is the axis, a regulating line established by two distant points in space and about which elements are symmetrically arranged. Villa Aldobrandini, Italy, —, Giacomo Della Porta House 10, , John Hejduk Although architectural space exists in three dimensions, it can be linear in form to accommodate the path of movement through a building and link its spaces to one another.

Buildings also can be linear in form, particularly when they consist of repetitive spaces organized along a circulation path. As illustrated here, linear building forms have the ability to enclose exterior spaces as well as adapt to the environmental conditions of a site.

These lines can be expressed by joints within or between building materials, by frames around window or door openings, or by a structural grid of columns and beams.

How these linear elements affect the texture of a surface will depend on their visual weight, spacing, and direction. A transparent spatial membrane can be stretched between them to acknowledge their visual relationship. The closer these lines are to each other, the stronger will be the sense of plane they convey. A series of parallel lines, through their repetitiveness, reinforces our perception of the plane they describe.

As these lines extend themselves along the plane they describe, the implied plane becomes real and the original voids between the lines revert to being mere interruptions of the planar surface. The diagrams illustrate the transformation of a row of round columns, initially supporting a portion of a wall, then evolving into square piers which are an integral part of the wall plane, and finally becoming pilasters—remnants of the original columns occurring as a relief along the surface of the wall.

A colonnaded facade can be penetrated easily for entry, offers a degree of shelter from the elements, and forms a semi-transparent screen that unifies individual building forms behind it. The Basilica, Vicenza, Italy. Andrea Palladio designed this two-story loggia in to wrap around an existing medieval structure. This addition not only buttressed the existing structure but also acted as a screen that disguised the irregularity of the original core and presented a Stoa of Attalus fronting the Agora in Athens uniform but elegant face to the Piazza del Signori.

Temple of Athena Polias, Priene, c. Philibert, Tournus, France, — This view of the nave shows how rows of columns can provide a rhythmic measure of space. Vertical and horizontal linear elements together can define a volume of space such as the solarium illustrated to the right. Note that the form of the volume is determined solely by the configuration of the linear elements.

Conceptually, a plane has length and width, but no depth. Shape is the primary identifying characteristic of a plane.

Francis DK Ching Architecture Form Space & Order Book 3rd Edition

It is determined by the contour of the line forming the edges of a plane. Because our perception of shape can be distorted by perspective foreshortening, we see the true shape of a plane only when we view it frontally. The supplementary properties of a plane—its surface color, pattern, and texture—affect its visual weight and stability. In the composition of a visual construction, a plane serves to define the limits or boundaries of a volume.

If architecture as a visual art deals specifically with the formation of three- dimensional volumes of mass and space, then the plane should be regarded as a key element in the vocabulary of architectural design. The properties of each plane—size, shape, color, texture —as well as their spatial relationship to one another ultimately determine the visual attributes of the form they define and the qualities of the space they enclose.

In architectural design, we manipulate three generic types of planes: Overhead Plane The overhead plane can be either the roof plane that spans and shelters the interior spaces of a building from the climatic elements, or the ceiling plane that forms the upper enclosing surface of a room.

Wall Plane The wall plane, because of its vertical orientation, is active in our normal field of vision and vital to the shaping and enclosure of architectural space. Base Plane The base plane can be either the ground plane that serves as the physical foundation and visual base for building forms, or the floor plane that forms the lower enclosing surface of a room upon which we walk.

Along with climate and other environmental conditions of a site, the topographical character of the ground plane influences the form of the building that rises from it. The building can merge with the ground plane, rest firmly on it, or be elevated above it. The ground plane itself can be manipulated as well to establish a podium for a building form.

It can be elevated to honor a sacred or significant place; bermed to define outdoor spaces or buffer against undesirable conditions; carved or terraced to provide a suitable platform on which to build; or stepped to allow changes in elevation to be easily traversed. Scala de Spagna Spanish Steps , Rome, — Three terraces approached by ramps rise toward the base of the cliffs where the chief sanctuary is cut deep into the rock.

Machu Picchu, an ancient Incan city established c. It may be a durable covering of the ground plane or a more artificial, elevated plane spanning the space between its supports. In either case, the texture and density of the flooring material influences both the acoustical quality of a space and how we feel as we walk across its surface.

While the pragmatic, supportive nature of the floor plane limits the extent to which it can be manipulated, it is nonetheless an important element of architectural design. Its shape, color, and pattern determine to what degree it defines spatial boundaries or serves as a unifying element for the different parts of a space.

Like the ground plane, the form of a floor plane can be stepped or terraced to break the scale of a space down to human dimensions and create platforms for sitting, viewing, or performing. It can be elevated to define a sacred or honorific place. It can be rendered as a neutral ground against which other elements in a space are seen as figures.

Maria Novella, Florence, — The Renaissance facade by Alberti presents a public face to a square. Exterior wall planes isolate a portion of space to create a controlled interior Uffizi Palace, —65, Giorgio Vasari. Their construction provides both privacy and protection from the This Florentine street defined by the two wings of the Uffizi climatic elements for the interior spaces of a building, while openings within or Palace links the Piazza della Signoria with the River Arno.

Architecture - Form, Space and Order 3rd ed..pdf

As exterior walls mold interior space, they simultaneously shape exterior space and describe the form, massing, and image of a building in space. As a design element, the plane of an exterior wall can be articulated as the front or primary facade of a building.

In urban situations, these facades serve as walls that define courtyards, streets, and such public gathering places as squares and marketplaces.

Piazza of San Marco, Venice. When arranged in a parallel series to support an overhead floor or roof plane, bearing walls define linear slots of space with strong directional qualities.

These spaces can be related to one another only by interrupting the bearing walls to create perpendicular zones of space. Peyrissac Residence, Cherchell, North Africa, , Le Corbusier Country House in Brick, Project, , Mies van der Rohe In the project to the right, freestanding brick bearing walls, together with L-shaped and T-shaped configurations of planes, create an interlocking series of spaces.

Their visual properties, their relationship to one another, and articulated as an element isolated from adjacent planes. It can be treated as a the size and distribution of openings within their boundaries determine both passive or receding backdrop for other elements in the space, or it can assert the quality of the spaces they define and the degree to which adjoining spaces itself as a visually active element within a room by virtue of its form, color, relate to one another.

While walls provide privacy for interior spaces and serve as barriers that limit our movement, doorways and windows reestablish continuity with neighboring spaces and allow the passage of light, heat, and sound.

As they increase in size, these openings begin to erode the natural sense of enclosure walls provide. Views seen through the openings become part of the spatial experience. The lamella structure expresses the way forces are resolved and channeled down to the roof supports.

The detached vaulted ceiling plane appears to float above the bed. While we walk on a floor and have physical contact with walls, the ceiling plane As a detached lining, the ceiling plane can symbolize the sky vault or be the is usually out of our reach and is almost always a purely visual event in a space.

It can It may be the underside of an overhead floor or roof plane and express the serve as a repository for frescoes and other means of artistic expression or be form of its structure as it spans the space between its supports, or it may be treated simply as a passive or receding surface. It can be raised or lowered to suspended as the upper enclosing surface of a room or hall.

Its form can be manipulated to control the quality of light or sound within a space. Church at Vuoksenniska, Finland, , Alvar Aalto. The form of the ceiling plane defines a progression of spaces and enhances their acoustical quality. Because of their inherent centrality, these forms share the self-centering properties of the point and circle. They are ideal as freestanding structures isolated within their context, dominating a point in space, or occupying the center of a defined field.

They can embody sacred or honorific places, or commemorate significant persons or events. In the latter case, the series of forms may be either repetitive or dissimilar in nature and organized by a separate and distinct element such as a wall or path.

It combines the aspects of centrality and linearity into a single composition. The core is either the symbolic or functional center of the organization. Its central position can be articulated with a visually dominant form, or it can merge with and become subservient to the radiating arms.

The radiating arms, having properties similar to those of linear forms, give a radial form its extroverted nature. They can reach out and relate to or attach themselves to specific features of a site. They can expose their elongated surfaces to desirable conditions of sun, wind, view, or space. Radial forms can grow into a network of centers linked by linear arms.

When viewed from ground level, its central core element may not be clearly visible and the radiating pattern of its linear arms may be obscured or distorted through perspective foreshortening.

While it lacks the geometric regularity and introverted nature of centralized forms, a clustered organization is flexible enough to incorporate forms of various shapes, sizes, and orientations into its structure.

Considering their flexibility, clustered organizations of forms may be organized in the following ways: A clustered organization can also consist of forms that are generally equivalent in size, shape, and function.

These forms are visually ordered into a coherent, nonhierarchical organization not only by their close proximity to one another, but also by the similarity of their visual properties. Numerous examples of clustered housing forms can be found in the vernacular architecture of various cultures.

Even though each culture produced a unique style in response to differing technical, climatic, and sociocultural factors, these clustered housing organizations usually maintained the individuality of each unit and a moderate degree of diversity within the context of an ordered whole. Habitat Israel, Jerusalem, , Moshe Safdie Vernacular examples of clustered forms can be readily transformed into modular, geometrically ordered compositions which are related to grid organizations of form.

It generates a geometric pattern of regularly spaced points at the intersections of the grid lines and regularly shaped fields defined by the grid lines themselves. The most common grid is based on the geometry of the square. Because of the equality of its dimensions and its bilateral symmetry, a square grid is essentially nonhierarchical and bidirectional.

It can be used to break the scale of a surface down into measurable units and give it an even texture. It can be used to wrap several surfaces of a form and unify them with its repetitive and pervasive geometry.

The square grid, when projected into the third dimension, generates a spatial network of reference points and lines. Within this modular framework, any number of forms and spaces can be visually organized. In these situations, the following forms can evolve: The centrality of a circular form enables it to act as a hub and unify forms of contrasting geometry or orientation about itself.

The interior space of this mosque is oriented exactly with the cardinal points so that the quibla wall faces in the direction of the holy city of Mecca, while its exterior conforms to the existing layout of the fort.

A Diagram of Architecture: An articulated form clearly reveals the precise nature of its parts and their relationships to each other and to the whole. Its surfaces appear as discrete planes with distinct shapes and their overall configuration is legible and easily perceived. In a similar manner, an articulated group of forms accentuates the joints between the constituent parts in order to visually express their individuality.

In opposition to the emphasis on joints and joinery, the corners of a form can be rounded and smoothed over to emphasize the continuity of its surfaces. Or a material, color, texture, or pattern can be carried across a corner onto the adjoining surfaces to de-emphasize the individuality of the surface planes and emphasize instead the volume of a form. A form can be articulated by: While a corner can be articulated by simply contrasting the surface qualities of the adjoining planes, or obscured by layering their joining with an optical pattern, our perception of its existence is also affected by the laws of perspective and the quality of light that illuminates the form.

For a corner to be formally active, there must be more than a slight deviation in the angle between the adjoining planes. Since we constantly search for regularity and continuity within our field of vision, we tend to regularize or smooth out slight irregularities in the forms we see. For example, a wall plane that is bent only slightly will appear to be a single flat plane, perhaps with a surface imperfection.

A corner would not be perceived. At what point do these formal deviations become an acute angle? If the two planes simply touch and the corner remains unadorned, the presence of the corner will depend on the visual treatment of the adjoining surfaces.

This corner condition emphasizes the volume of a form. A corner condition can be visually reinforced by introducing a separate and distinct element that is independent of the surfaces it joins.

This element articulates the corner as a linear condition, defines the edges of the adjoining planes, and becomes a positive feature of the form. If an opening is introduced to one side of the corner, one of the planes will appear to bypass the other.

The opening diminishes the corner condition, weakens the definition of the volume within the form, and emphasizes the planar qualities of the neighboring surfaces. If neither plane is extended to define the corner, a volume of space is created to replace the corner. This corner condition deteriorates the volume of the form, allows the interior space to leak outward, and clearly reveals the surfaces as planes in space. Rounding off the corner emphasizes the continuity of the bounding surfaces of a form, the compactness of its volume, and softness of its contour.

The scale of the radius of curvature is important. If too small, it becomes visually insignificant; if too large, it affects the interior space it encloses and the exterior form it describes. The unadorned corners of the forms emphasize the volume of their mass. The timber joinery articulates the individuality of the members meeting at the corner. The corner member is recessed to be independent of the adjoining wall planes.

The corner column emphasizes the edge of the building form. The linear sun-shading devices accentuate the horizontality of the building form.

Linear columnar elements emphasize the verticality of this high-rise structure. Linear patterns have the ability to emphasize the height or length of a form, unify its surfaces, and define its textural quality.

A grid pattern unifies the surfaces of the three-dimensional composition. The three-dimensional form of the openings creates a texture of light, shade, and shadows. The pattern of openings and cavities interrupts the continuity of the exterior wall planes. We turn clay to make a vessel; But it is on the space where there is nothing that the utility of the vessel depends. We pierce doors and windows to make a house; and it is on these spaces where there is nothing that the utility of the house depends.

Therefore, just as we take advantage of what is, we should recognize the utility of what is not. Through the volume of space, we move, see forms, hear sounds, feel breezes, smell the fragrances of a flower garden in bloom. It is a material substance like wood or stone. Yet it is an inherently formless vapor. Its visual form, its dimensions and scale, the quality of its light—all of these qualities depend on our perception of the spatial boundaries defined by elements of form. As space begins to be captured, enclosed, molded, and organized by the elements of mass, architecture comes into being.

To better comprehend the structure of a visual field, we tend to organize its elements into two opposing groups: Two Faces or a Vase? Our perception and understanding of a composition depends on how we interpret the visual interaction between the positive and negative elements within its field. On this page, for example, letters are seen as dark figures against the white background of the paper surface.

Consequently, we are able to perceive their organization into words, sentences, and paragraphs. As it grows in size relative to its field, however, other elements within and around it begin to compete for our attention as figures.

At times, the relationship between figures and their background is so ambiguous that we visually switch their identities back and forth almost simultaneously. White-on-Black or Black-on-White? In all cases, however, we should understand that figures, the positive elements that attract our attention, could not exist without a contrasting background. Figures and their background, therefore, are more than opposing elements. Together, they form an inseparable reality—a unity of opposites—just as the elements of form and space together form the reality of architecture.

Shah Jahan built this white marble mausoleum for his favorite wife, Muntaz Mahal. Line defining the boundary between solid mass and spatial void B.

The form of solid mass rendered as a figure C. The form of the spatial void rendered as figure Architectural form occurs at the juncture between mass and space. In executing and reading design drawings, we should be concerned with both the form of the mass containing a volume of space as well as the form of the spatial volume itself.

Fragment of a Map of Rome, drawn by Giambattista Nolli in Depending on what we perceive to be positive elements, the figure-ground relationship of the forms of mass and space can be inverted in different parts of this map of Rome.

In portions of the map, buildings appear to be positive forms that define street spaces. In other parts of the drawing, urban squares, courtyards, and major spaces within important public buildings read as positive elements seen against the background of the surrounding building mass.

At each level, we should be concerned not only with the form of a building but also its impact on the space around it. At an urban scale, we should carefully consider whether the role of a building is to continue the existing fabric of a place, form a backdrop for other buildings, or define a positive urban space, or whether it might be appropriate for it to stand free as a significant object in space.

At the scale of a building site, there are various strategies for relating the form of a building to the space around it. A building can: D Building as an object in space Buildings defining space Monastery of St. Meletios on Mt.

Kithairon, Greece, 9th century A. H Buildings defining space: Piazza of San Marco, Venice Building as an object in space: The white space in between, however, should not be seen simply as background for the walls, but also as figures in the drawing that have shape and form. Even at the scale of a room, articles of furnishings can either stand as forms within a field of space or serve to define the form of a spatial field.

Each category has an active or passive role in defining space. Some spaces, such as offices, have specific but similar functions and can be grouped into single, linear, or clustered forms. Some spaces, such as concert halls, have specific functional and technical requirements, and require specific forms that will affect the forms of the spaces around them. Some spaces, such as lobbies, are flexible in nature and can therefore be freely defined by the spaces or grouping of spaces around them.

In a similar manner, any three-dimensional form naturally articulates the volume of space surrounding it and generates a field of influence or territory which it claims as its own. The following section of this chapter looks at horizontal and vertical elements of form and presents examples of how various configurations of these formal elements generate and define specific types of space.

This field can be visually reinforced in the following ways. Elevated Base Plane A horizontal plane elevated above the ground plane establishes vertical surfaces along its edges that reinforce the visual separation between its field and the surrounding ground.

Depressed Base Plane A horizontal plane depressed into the ground plane utilizes the vertical surfaces of the lowered area to define a volume of space. Overhead Plane A horizontal plane located overhead defines a volume of space between itself and the ground plane. The stronger the edge definition of a horizontal plane is, the more distinct will be its field. Although there is a continuous flow of space across it, the field nevertheless generates a spatial zone or realm within its boundaries.

The surface articulation of the ground or floor plane is often used in architecture to define a zone of space within a larger context. The examples on the facing page illustrate how this type of spatial definition can be used to differentiate between a path of movement and places of rest, establish a field from which the form of a building rises out of the ground, or articulate a functional zone within a one-room living environment.

The changes in level that occur along the edges of the elevated plane define the boundaries of its field and interrupt the flow of space across its surface. If the surface characteristics of the base plane continues up and across the elevated plane, then the field of the elevated plane will appear to be very much a part of the surrounding space.

If, however, the edge condition is articulated by a change in form, color, or texture, then the field will become a plateau that is separate and distinct from its surroundings. The edge of the field is well-defined; visual and spatial continuity is maintained; physical access is easily accommodated.

Visual continuity is maintained; spatial continuity is interrupted; physical access requires the use of stairs or ramps. Visual and spatial continuity is interrupted; the field of the elevated plane is isolated from the ground or floor plane; the elevated plane is transformed into a sheltering element for the space below.

The elevated ground plane can be a preexisting site condition, or it can be artificially constructed to deliberately raise a building above the surrounding context or enhance its image in the landscape.

The examples on these two pages illustrate how these techniques have been used to venerate sacred and honorific buildings. Combined with a roof plane, it develops into the semiprivate realm of a porch or veranda. The Farnsworth House was constructed to rise above the flood plain of the Fox River.

This elevated floor plane, together with an overhead roof plane, defines a volume of space that hovers delicately above the surface of its site. This raised space can serve as a retreat from the activity around it or be a platform for viewing the surrounding space. Within a religious structure, it can demarcate a sacred, holy, or consecrated place. The vertical surfaces of the depression establish the boundaries of the field. These boundaries are not implied as in the case of an elevated plane, but visible edges that begin to form the walls of the space.

The field of space can be further articulated by contrasting the surface treatment of the lowered area and that of the surrounding base plane.

A contrast in form, geometry, or orientation can also visually reinforce the identity and independence of the sunken field from its larger spatial context. Creating a stepped, terraced, or ramped transition from one level to the next helps promote continuity between a sunken space and the area that rises around it. Rock-cut churches of Lalibela, 13th century Whereas the act of stepping up to an elevated space might express the extroverted nature or significance of the space, the lowering of a space below its surroundings might allude to its introverted nature or to its sheltering and protective qualities.

The natural change in level benefits both the sightlines and the acoustical quality of these spaces. Underground village near Loyang, China The ground plane can be lowered to define sheltered outdoor spaces for underground buildings.

A sunken courtyard, while protected from surface-level wind and noise by the mass surrounding it, remains a source of air, light, and views for the underground spaces opening onto it. He then uses the vertical bounding surfaces of the reading area for additional book storage. A sunken area can also serve as a transitional space between two floors of a building. Since the edges of the overhead plane establish the boundaries of this field, its shape, size, and height above the ground plane determines the formal qualities of the space.

While the previous manipulations of the ground or floor plane defined fields of space whose upper limits were established by their context, an overhead plane has the ability to define a discrete volume of space virtually by itself. If vertical linear elements such as columns or posts are used to support the overhead plane, they will aid in visually establishing the limits of the defined space without disrupting the flow of space through the field.

Similarly, if the edges of the overhead plane are turned downward, or if the base plane beneath it is articulated by a change in level, the boundaries of the defined volume of space will be visually reinforced.

It not only shelters the interior spaces of a building from sun, rain, and snow, but also has a major impact on the overall form of a building and the shaping of its spaces.

The form of the roof plane, in turn, is determined by the material, geometry, and proportions of its structural system and the manner in which it transfers its loads across space to its supports. Convention Hall for Chicago Project , , Mies van der Rohe Glass House, New Canaan, Connecticut, , Philip Johnson The roof plane can be the major space-defining element of a building and visually organize a series of forms and spaces beneath its sheltering canopy.

Since it need not resist any weathering forces nor carry any major loads, the ceiling plane can also be detached from the floor or roof plane and become a visually active element in a space. Bandung Institute of Technology, Bandung, Indonesia, , Henri Maclaine Pont As in the case of the base plane, the ceiling plane can be manipulated to define and articulate zones of space within a room. It can be lowered or elevated to alter the scale of a space, define a path of movement through it, or allow natural light to enter it from above.

The form, color, texture, and pattern of the ceiling plane can be manipulated as well to improve the quality of light or sound within a space or give it a directional quality or orientation. The following section discusses the critical role vertical elements of form play in firmly establishing the visual limits of a spatial field. Vertical forms have a greater presence in our visual field than horizontal planes and are therefore more instrumental in defining a discrete volume of space and providing a sense of enclosure and privacy for those within it.

In addition, they serve to separate one space from another and establish a common boundary between the interior and exterior environments. Vertical elements of form also play important roles in the construction of architectural forms and spaces.

They serve as structural supports for floor and roof planes. They provide shelter and protection from the climatic elements and aid in controlling the flow of air, heat, and sound into and through the interior spaces of a building.

Single Vertical Plane A single vertical plane articulates the space on which it fronts. L-shaped Plane An L-shaped configuration of vertical planes generates a field of space from its corner outward along a diagonal axis. Parallel Planes Two parallel vertical planes define a volume of space between them that is oriented axially toward both open ends of the configuration.

U-shaped Plane A U-shaped configuration of vertical planes defines a volume of space that is oriented primarily toward the open end of the configuration. Four Planes: Closure Four vertical planes establish the boundaries of an introverted space and influence the field of space around the enclosure.

Standing upright and alone, a slender linear element is nondirectional except for the path that would lead us to its position in space. Any number of horizontal axes can be made to pass through it. When located within a defined volume of space, a column will generate a spatial field about itself and interact with the spatial enclosure. A column attached to a wall buttresses the plane and articulates its surface. At the corner of a space, a column punctuates the meeting of two wall planes.

Standing free within a space, a column defines zones of space within the enclosure. When centered in a space, a column will assert itself as the center of the field and define equivalent zones of space between itself and the surrounding wall planes.

When offset, the column will define hierarchical zones of space differentiated by size, form, and location. Linear elements serve this purpose in marking the limits of spaces that require visual and spatial continuity with their surroundings.

Two columns establish a transparent spatial membrane by the visual tension between their shafts. Three or more columns can be arranged to define the corners of a volume of space. This space does not require a larger spatial context for its definition, but relates freely to it. The edges of the volume of space can be visually reinforced by articulating its base plane and establishing its upper limits with beams spanning between the columns or with an overhead plane.

A repetitive series of column elements along its perimeter would further strengthen the definition of the volume. In the example above, the tokobashira, often a tree trunk in natural form, is a symbolic element that marks one edge of the tokonoma in a Japanese tearoom.

Piazza of St.

Tomb of Jahangir, near Lahore In these examples, various forms of minarets mark the corners of a platform and establish a field of space—a three-dimensional framework—for the Mogul mausoleum structures.

Four columns can establish the corners of a discrete volume of space within a larger room or setting. Supporting a canopy, the columns form an aedicule, a diminutive pavilion that serves as a shrine or the symbolic center of a space. Traditional Roman houses typically were organized about an atrium open to the sky and surrounded by a roof structure supported at the corners by four columns. Vitruvius termed this a tetrastyle atrium. During the Renaissance, Andrea Palladio incorporated the tetrastyle theme in the vestibules and halls of a number of villas and palazzi.

The four columns not only supported the vaulted ceiling and the floor above but also adjusted the dimensions of the rooms to Palladian proportions. In the Sea Ranch condominium units, four posts along with a sunken floor and an overhead plane define an intimate aedicular space within a larger room. Condominium Unit No. Michel, France, —28 A regularly-spaced series of columns or similar vertical elements form a colonnade.

This archetypal element in the vocabulary of architectural design effectively defines an edge of a spatial volume while permitting visual and spatial continuity to exist between the space and its surroundings. A row of columns can also engage a wall and become a pilastrade that supports the wall, articulates its surface, and tempers the scale, rhythm, and proportioning of its bays. A grid of columns within a large room or hall not only serves to support the floor or roof plane above. The orderly rows of columns also punctuate the spatial volume, mark off modular zones within the spatial field, and establish a measurable rhythm and scale that make the spatial dimensions comprehensible.

This type of construction, in particular the use of concrete columns to support floor and roof slabs, afforded new possibilities for the definition and enclosure of spaces within a building.

Interior spaces could be defined with non-load-bearing partitions, and their layout could respond freely to programmatic requirements. Sketches for The Five Points of the New Architecture, , Le Corbusier On the facing page, two contrasting examples of the use of a column grid are illustrated: A column grid establishes a fixed, neutral field of space in which interior spaces are freely formed and distributed.

A grid of columns or posts corresponds closely to the layout of the interior spaces; there is a close fit between structure and space. A round column has no preferred direction except for its vertical axis.

A square column has two equivalent sets of faces and therefore two identical axes. A rectangular column also has two axes, but they differ in their effect. As the rectangular column becomes more like a wall, it can appear to be merely a fragment of an infinitely larger or longer plane, slicing through and dividing a volume of space.

A vertical plane has frontal qualities. Its two surfaces or faces front on and establish the edges of two separate and distinct spatial fields. These two faces of a plane can be equivalent and front similar spaces. Or they can be differentiated in form, color, or texture, in order to respond to or articulate different spatial conditions.

A vertical plane can therefore have either two fronts or a front and a back. The field of space on which a single vertical plane fronts is not well-defined. The plane by itself can establish only a single edge of the field. To define a three-dimensional volume of space, the plane must interact with other elements of form.

When two-feet high, a plane defines the edge of a spatial field but provides little or no sense of enclosure. When waist-high, it begins to provide a sense of enclosure while allowing for visual continuity with the adjoining space. When it approaches our eye level in height, it begins to separate one space from another. Above our height, a plane interrupts the visual and spatial continuity between two fields and provides a strong sense of enclosure.

The surface color, texture, and pattern of a plane affect our perception of its visual weight, scale, and proportion. When related to a defined volume of space, a vertical plane can be the primary face of the space and give it a specific orientation. It can front the space and define a plane of entry into it. It can be a freestanding element within a space and divide the volume into two separate but related areas. Agostino, Rome, —83, Giacomo da Pietrasanta A single vertical plane can define the principal facade of a building fronting a public space, establish a gateway through which one passes, as well as articulate spatial zones within a larger volume.

The partitions never form closed, geometrically static areas. While this field is strongly defined and enclosed at the corner of the configuration, it dissipates rapidly as it moves away from the corner. The introverted field at the interior corner becomes extroverted along its outer edges. While two edges of the field are clearly defined by the two planes of the configuration, its other edges remain ambiguous unless further articulated by additional vertical elements, manipulations of the base plane, or an overhead plane.

If a void is introduced to one side of the corner of the configuration, the definition of the field will be weakened. The two planes will be isolated from each other and one will appear to slide by and visually dominate the other.

If neither plane extends to the corner, the field will become more dynamic and organize itself along the diagonal of the configuration. One of the arms of the configuration can be a linear form that incorporates the corner within its boundaries while the other arm is seen as an appendage to it. Or the corner can be articulated as an independent element that joins two linear forms together.

A building can have an L-shaped configuration to establish a corner of its site, enclose a field of outdoor space to which its interior spaces relate, or shelter a portion of outdoor space from undesirable conditions around it. L-shaped configurations of planes are stable and selfsupporting and can stand alone in space. Because they are open-ended, they are flexible space-defining elements.

They can be used in combination with one another or with other elements of form to define a rich variety of spaces. Typically, one wing contains the communal living spaces while the other contains private, individual spaces. The service and utility spaces usually occupy a corner position or are strung along the backside of one of the wings. The advantage of this type of layout is its provision of a private courtyard, sheltered by the building form and to which interior spaces can be directly related.

In the Kingo Housing estate, a fairly high density is achieved with this type of unit, each with its own private outdoor space. The outdoor space enclosed by the architect's studio in Helsinki is used as an amphitheater for lectures and social occasions. It is not a passive space whose form is determined by the building that encloses it.

Rather, it asserts its positive form and pressures the form of its enclosure. The History Faculty Building at Cambridge uses a seven-story, L-shaped block to functionally and symbolically enclose a large, roof-lit library, which is the most important space in the building. The open ends of the field, established by the vertical edges of the planes, give the space a strong directional quality.

Its primary orientation is along the axis about which the planes are symmetrical. Since the parallel planes do not meet to form corners and fully enclose the field, the space is extroverted in nature.

The definition of the spatial field along the open ends of the configuration can be visually reinforced by manipulating the base plane or adding overhead elements to the composition.

The spatial field can be expanded by extending the base plane beyond the open ends of the configuration. This expanded field can, in turn, be terminated by a vertical plane whose width and height is equal to that of the field. If one of the parallel planes is differentiated from the other by a change in form, color, or texture, a secondary axis, perpendicular to the flow of the space, will be established within the field. Openings in one or both of the planes can also introduce secondary axes to the field and modulate the directional quality of the space.

Sets of parallel vertical planes can be transformed into a wide variety of configurations. Their spatial fields can be related to one another either through the open ends of their configurations or through openings in the planes themselves. Apollinare in Classe, Ravenna, Italy, —39 Champ de Mars, Paris The directional quality and flow of the space defined by parallel planes are naturally manifested in spaces used for circulation and movement, such as the streets and boulevards of towns and cities.

These linear spaces can be defined by the facades of the buildings fronting them, as well as by the more permeable planes established by colonnades, arcades, or rows of trees. The parallel planes that define a circulation space can be solid and opaque to provide privacy for the spaces along the circulation path. The planes can also be established by a row of columns so that the circulation path, open on one or both of its sides, becomes part of the spaces it passes through. Their repetitive pattern can be modified by varying their length or by introducing voids within the planes to accommodate the dimensional requirements of larger spaces.

These voids can also define circulation paths and establish visual relationships perpendicular to the wall planes. The slots of space defined by parallel wall planes can also be modulated by altering the spacing and configuration of the planes. They not only provide structural support for the floors and roofs of each housing unit, but also serve to isolate the units from one another, curb the passage of sound, and check the spread of fire.

The pattern of parallel bearing walls is particularly appropriate for rowhousing and townhouse schemes where each unit is provided with two orientations. At the closed end of the configuration, the field is well defined. Toward the open end of the configuration, the field becomes extroverted in nature.

The open end is the primary aspect of the configuration by virtue of its uniqueness relative to the other three planes. It allows the field to have visual and spatial continuity with the adjoining space. The extension of the spatial field into the adjoining space can be visually reinforced by continuing the base plane beyond the open end of the configuration.

If the plane of the opening is further defined with columns or overhead elements, the definition of the original field will be reinforced and continuity with the adjoining space will be interrupted. If the configuration of planes is rectangular and oblong in form, the open end can be along its narrow or wide side.

In either case, the open end will remain the primary face of the spatial field, and the plane opposite the open end will be the principal element among the three planes of the configuration.

If the field is entered through the open end of the configuration, the rear plane, or a form placed in front of it, will terminate our view of the space.

If the field is entered through an opening in one of the planes, the view of what lies beyond the open end will draw our attention and terminate the sequence. If the end of a long, narrow field is open, the space will encourage movement and induce a progression or sequence of events. If the field is square, or nearly square, the space will be static and have the character of a place to be in, rather than a space to move through. If the side of a long, narrow field is open, the space will be susceptible to a subdivision into a number of zones.

U-shaped configurations of building forms and organizations have the inherent ability to capture and define outdoor space. Their composition can be seen to consist essentially of linear forms. The corners of the configuration can be articulated as independent elements or can be incorporated into the body of the linear forms. They can also focus on an important or significant element within their fields. When an element is placed along the open end of its field, it gives the field a point of focus as well as a greater sense of closure.

The cells form an enclave for a village of community rooms. U-shaped enclosures of interior space have a specific orientation toward their open ends. These U-shaped enclosures can group themselves around a central space to form an introverted organization. Temple on the Ilissus, Athens The Hotel for Students at Otaniemi, by Alvar Aalto, demonstrates the use of U-shaped enclosures to define the basic unit of space in double-loaded schemes for dormitories, apartment, and hotels.

These units are extroverted. They turn their back on the corridor and orient themselves to the exterior environment. CLO SURE Four vertical planes encompassing a field of space is probably the most typical, and certainly the strongest, type of spatial definition in architecture. Since the field is completely enclosed, its space is naturally introverted.

To achieve visual dominance within a space or become its primary face, one of the enclosing planes can be differentiated from the others by its size, form, surface articulation, or by the nature of the openings within it. Well-defined, enclosed fields of space can be found in architecture at various scales, from a large urban square, to a courtyard or atrium space, to a single hall or room within a building complex.

The examples on this and the following pages illustrate enclosed spatial fields in both urban and building-scale situations. Historically, four planes have often been used to define a visual and spatial field for a sacred or significant building that stands as an object within the enclosure.

The enclosing planes may be ramparts, walls, or fences that isolate the field and exclude surrounding elements from the precinct. The enclosure may consist of arcades or gallery spaces that promote the inclusion of surrounding buildings into their domain and activate the space they define. Plan of the Agora at Priene and its surroundings, 4th century B. Forum at Pompeii, 2nd century B. House No. The examples on these two pages illustrate the use of enclosed volumes of space as ordering elements about which the spaces of a building can be clustered and organized.

These organizing spaces can generally be characterized by their centrality, their clarity of definition, their regularity of form, and their dominating size. They are manifested here in the atrium spaces of houses, the arcaded cortile of an Italian palazzo, the enclosure of a Greek shrine, the courtyard of a Finnish town hall, and the cloister of a monastery.

Doors offer entry into a room and influence the patterns of movement and use within it. Windows allow light to penetrate the space and illuminate the surfaces of a room, offer views from the room to the exterior, establish visual relationships between the room and adjacent spaces, and provide for the natural ventilation of the space.

While these openings provide continuity with adjacent spaces, they can, depending on their size, number, and location, also begin to weaken the enclosure of the space. In either case, the opening will be at a corner of a space. Vertical Between Planes Grouped An opening can be located wholly within a wall or ceiling plane and be surrounded on all sides by the surface of the plane.

It can grow in size to occupy an entire wall of a space. If centered within the plane, the opening will appear stable and visually organize the surface around it. Moving the opening off-center will create a degree of visual tension between the opening and the edges of the plane toward which it is moved. The shape of the opening, if similar to the shape of the plane in which it is located, will create a redundant compositional pattern.

The shape or orientation of the opening may contrast with the enclosing plane to emphasize its individuality as a figure. The singularity of the opening may be visually reinforced with a heavy frame or articulated trimwork. Multiple openings may be clustered to form a unified composition within a plane, or be staggered or dispersed to create visual movement along the surface of the plane.

As an opening within a plane increases in size, it will at some point cease to be a figure within an enclosing field and become instead a positive element in itself, a transparent plane bounded by a heavy frame. Openings within planes naturally appear brighter than their adjacent surfaces. If the contrast in brightness along the edges of the openings becomes excessive, the surfaces can be illuminated by a second light source from within the space, or a deep-set opening can be formed to create illuminated surfaces between the opening and the surrounding plane.

This directional effect may be desirable for compositional reasons, or the corner opening may be established to capture a desirable view or brighten a dark corner of a space. A corner opening visually erodes the edges of the plane in which it is located and articulates the edge of the plane adjacent and perpendicular to it.

The larger the opening, the weaker will be the definition of the corner. If the opening were to turn the corner, the angle of the space would be implied rather than real and the spatial field would extend beyond its enclosing planes.

If openings are introduced between the enclosing planes at all four corners of a space, the individual identity of the planes will be reinforced and diagonal or pinwheel patterns of space, use, and movement will be encouraged. The light that enters a space through a corner opening washes the surface of the plane adjacent and perpendicular to the opening.

This illuminated surface itself becomes a source of light and enhances the brightness of the space. The level of illumination can be enhanced further by turning the corner with the opening or adding a skylight above the opening. If located at a corner, the vertical opening will erode the definition of the space and allow it to extend beyond the corner to the adjacent space. It will also allow incoming light to wash the surface of the wall plane perpendicular to it and articulate the primacy of that plane in the space.

If allowed to turn the corner, the vertical opening will further erode the definition of the space, allow it to interlock with adjacent spaces, and emphasize the individuality of the enclosing planes. A horizontal opening that extends across a wall plane will separate it into a number of horizontal layers. If the opening is not very deep, it will not erode the integrity of the wall plane.

If, however, its depth increases to the point where it is greater than the bands above and below it, then the opening will become a positive element bounded at its top and bottom by heavy frames. Turning a corner with a horizontal opening reinforces the horizontal layering of a space and broadens the panoramic view from within the space. If the opening continues around the space, it will visually lift the ceiling plane from the wall planes, isolate it, and give it a feeling of lightness.

Locating a linear skylight along the edge where a wall and ceiling plane meet allows incoming light to wash the surface of the wall, illuminate it, and enhance the brightness of the space.

The form of the skylight can be manipulated to capture direct sunlight, indirect daylight, or a combination of both. If they are oriented to capture direct sunlight, sunshading devices may be necessary to reduce glare and excessive heat gain within the space. While a window-wall weakens the vertical boundaries of a space, it creates the potential for visually expanding the space beyond its physical boundaries.

Living Room, Villa Mairea, Noormarkku, Finland, —39, Alvar Aalto Combining a window-wall with a large skylight overhead creates a sun room or greenhouse space. The boundaries between inside and outside, defined by the linear members of a frame, become obscure and tenuous. The qualities of an architectural space, however, are much richer than what the diagrams are able to portray. The spatial qualities of form, proportion, scale, texture, light, and sound ultimately depend on the properties of the enclosure of a space.

Our perception of these qualities is often a response to the combined effects of the properties encountered and is conditioned by culture, prior experiences, and personal interest or inclination.

Chapter 6 presents the issues of dimensions, proportion, and scale. While the first part of this chapter outlines how basic configurations of linear and planar elements define volumes of space, this concluding section describes how the size, shape, and location of openings or voids within the enclosing forms of a space influence the following qualities of a room: From within a space, we see only the surface of a wall.

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It is this thin layer of material that forms the vertical boundary of the space. The actual thickness of a wall plane can be revealed only along the edges of door and window openings. Openings lying wholly within the enclosing planes of a space do not weaken the edge definition nor the sense of closure of the space. The form of the space remains intact and perceptible. Openings located along the edges of the enclosing planes of a space visually weaken the corner boundaries of the volume.

While these openings erode the overall form of a space, they also promote its visual continuity and interaction with adjacent spaces. Openings between the enclosing planes of a space visually isolate the planes and articulate their individuality.

As these openings increase in number and size, the space loses its sense of enclosure, becomes more diffuse, and begins to merge with adjacent spaces. The visual emphasis is on the enclosing planes rather than the volume of space defined by the planes.

Our eyes are made to see forms in light; light and shade reveal these forms. As the luminous energy of the sun is dispersed by clouds, haze, and precipitation, it transmits the changing colors of the sky and the weather to the forms and surfaces it illuminates.

With the shifting patterns of light, shade, and shadows that it creates, the sun animates the space of the room, and articulates the forms within it. By its intensity and dispersion within the room, the luminous energy of the sun can clarify the form of the space or distort it.

The color and brilliance of sunlight can create a festive atmosphere within the room or a more diffuse daylight can instill within it a somber mood. Since the intensity and direction of the light the sun radiates is fairly predictable, its visual impact on the surfaces, forms, and space of a room can be predicated on the size, location, and orientation of windows and skylights within the enclosure. The size of an opening in a wall or roof plane, however, is also regulated by factors other than light, such as the materials and construction of the wall or roof plane; requirements for views, visual privacy, and ventilation; the desired degree of enclosure for the space; and the effect of openings on the exterior form of a building.

The location and orientation of a window or skylight, therefore, can be more important than its size in determining the quality of daylight a room receives. An opening can be oriented to receive direct sunlight during certain portions of the day. Direct sunlight provides a high degree of illumination that is especially intense during midday hours. It creates sharp patterns of light and dark on the surfaces of a room and crisply articulates the forms within the space.

Possible detrimental effects of direct sunlight, such as glare and excessive heat gain, can be controlled by shading devices built into the form of the opening or provided by the foliage of nearby trees or adjacent structures. An opening can also be oriented away from direct sunlight and receive instead the diffuse, ambient light from the sky vault overhead. The sky vault is a beneficial source of daylight since it remains fairly constant, even on cloudy days, and can help to soften the harshness of direct sunlight and balance the light level within a space.

When located entirely within a wall plane, an opening can appear as a bright spot of light on a darker surface. This condition can induce glare if an excessive degree of contrast exists between the brightness of the opening and the darker surface surrounding it. The uncomfortable or debilitating glare caused by excessive brightness ratios between adjacent surfaces or areas in a room can be ameliorated by allowing daylight to enter the space from at least two directions.

When an opening is located along the edge of a wall or at the corner of a room, the daylight entering through it will wash the surface of the wall adjacent and perpendicular to the plane of the opening. This illuminated surface itself becomes a source of light and enhances the light level within the space. Additional factors influence the quality of light within a room.

The shape and articulation of an opening is reflected in the shadow pattern cast by sunlight on the forms and surfaces of the room. The color and texture of these forms and surfaces, in turn, affect their reflectivity and the ambient light level within the space. While some rooms have an internal focus, such as a fireplace, others have an outward orientation given to them by a view to the outdoors or an adjacent space.

Window and skylight openings provide this view and establish a visual relationship between a room and its surroundings. The size and location of these openings determine, of course, the nature of the outlook as well as the degree of visual privacy for an interior space. A long, narrow opening, whether vertical or horizontal, can not only separate two planes but also hint at what lies beyond. A group of windows can be sequenced to fragment a scene and encourage movement within a space.

As an opening expands, it opens a room up to a broad vista. The large scene can dominate a space or serve as a backdrop for the activities within it. Interior openings offer views from one space to another. An opening can be oriented upward to offer a view of treetops and the sky.

A bay window can project a person into a scene.

If large enough, the projected space can become an alcove able to be occupied. Interior design elements can also provide subjects for visual attention. An Internal Focus: A good house is a single thing, as well as a collection of many, and to make it requires a conceptual leap from the individual components to a vision of the whole.

The choices … represent ways of assembling the parts. They can also make space, pattern, and outside domains. They dramatize the most elementary act which architecture has to perform. To make one plus one equal more than two, you must in doing any one thing you think important making rooms, putting them together, or fitting them to the land do something else that you think important as well make spaces to live, establish a meaningful pattern inside, or claim other realms outside.

Few buildings, however, consist of a solitary space. They are normally composed of a number of spaces which are related to one another by function, proximity, or a path of movement. This chapter lays out for study and discussion the basic ways the spaces of a building can be related to one another and organized into coherent patterns of form and space. Space within a Space A space may be contained within the volume of a larger space.

Interlocking Spaces The field of a space may overlap the volume of another space. Adjacent Spaces Two spaces may abut each other or share a common border. Spaces Linked by a Common Space Two spaces may rely on an intermediary space for their relationship. Visual and spatial continuity between the two spaces can be easily accommodated, but the smaller, contained space depends on the larger, enveloping space for its relationship to the exterior environment.

In this type of spatial relationship, the larger, enveloping space serves as a three-dimensional field for the smaller space contained within it.

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For this concept to be perceived, a clear differentiation in size is necessary between the two spaces. If the contained space were to increase in size, the larger space would begin to lose its impact as an enveloping form.

If the contained space continued to grow, the residual space around it would become too compressed to serve as an enveloping space. It would become instead merely a thin layer or skin around the contained space.

The original notion would be destroyed. To endow itself with a higher attention-value, the contained space may share the form of the enveloping shape, but be oriented in a different manner. This would create a secondary grid and a set of dynamic, residual spaces within the larger space. The contained space may also differ in form from the enveloping space in order to strengthen its image as a freestanding volume.

This contrast in form may indicate a functional difference between the two spaces or the symbolic importance of the contained space.Note that the form of the volume is determined solely by the configuration of the linear elements.

If the plane of the opening is further defined with columns or overhead elements, the definition of the original field will be reinforced and continuity with the adjoining space will be interrupted.

Any such columnar element is seen in plan as a point and therefore retains the visual characteristics of a point. These two faces of a plane can be equivalent and front similar spaces. While these dimensions determine the proportions of a form, its scale is determined by its size relative to other forms in its context. Customer images. Neither the publisher nor the author shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

It is the primary means by which we recognize, identify, and categorize particular figures and forms. In executing and reading design drawings, we should be concerned with both the form of the mass containing a volume of space as well as the form of the spatial volume itself.