Architecture PDF

I N T R O D U CTION In order to place this study in proper context, the following is an overview of the In all cases, however, these elements and systems should be interrelated basic elements, systems, and orders that constitute a work of architecture. All to form an integrated whole having a unifying or coherent structure. of these constituents can be perceived and experienced. Some may be readily Architectural order is created when the organization of parts makes visible apparent while others are more obscure to our intellect and senses. Some may their relationships to each other and the structure as a whole. When these dominate while others play a secondary role in a building’s organization. Some relationships are perceived as mutually reinforcing and contributing to the may convey images and meaning while others serve as qualifiers or modifiers of singular nature of the whole, then a conceptual order exists—an order that these messages. may well be more enduring than transient perceptual visions. Architectural Systems The Architecture of Space t PSHBOJ[BUJPOBMQBUUFSO SFMBUJPOTIJQT DMBSJUZ IJFSBSDIZ Structure t GPSNBMJNBHFBOETQBUJBMEFGJOJUJPO Enclosure t RVBMJUJFTPGTIBQF DPMPS UFYUVSF TDBMF QSPQPSUJPO t RVBMJUJFTPGTVSGBDFT FEHFT BOEPQFOJOHT Experienced through Movement in t BQQSPBDIBOEFOUSZ Space-Time t QBUIDPOGJHVSBUJPOBOEBDDFTT t TFRVFODFPGTQBDFT t MJHIU WJFX UPVDI TPVOE BOETNFMM Achieved by means of Technology t TUSVDUVSFBOEFODMPTVSF t FOWJSPONFOUBMQSPUFDUJPOBOEDPNGPSU t IFBMUI TBGFUZ BOEXFMGBSF t EVSBCJMJUZBOETVTUBJOBCJMJUZ Accommodating a Program t VTFSSFRVJSFNFOUT OFFET BTQJSBUJPOT t TPDJPDVMUVSBMGBDUPST t FDPOPNJDGBDUPST t MFHBMDPOTUSBJOUT t IJTUPSJDBMUSBEJUJPOBOEQSFDFEFOUT Compatible with its Context t TJUFBOEFOWJSPONFOU t DMJNBUFTVO XJOE UFNQFSBUVSF QSFDJQJUBUJPO t HFPHSBQIZTPJMT UPQPHSBQIZ WFHFUBUJPO XBUFS t TFOTPSZBOEDVMUVSBMDIBSBDUFSJTUJDTPGUIFQMBDF X / ARCHIT EC T UR E: FOR M , S PA C E , & O R D E R IN T RODUC T I ON …& Orders Physical Form and Space Systems and organizations of tTPMJETBOEWPJET t TQBDF tJOUFSJPSBOEFYUFSJPS t TUSVDUVSF t FODMPTVSF t NBDIJOFT Perceptual Sensory perception and recognition of the physical t BQQSPBDIBOEEFQBSUVSF elements by experiencing them sequentially in time t FOUSZBOEFHSFTT t NPWFNFOUUISPVHIUIFPSEFSPGTQBDFT t GVODUJPOJOHPGBOEBDUJWJUJFTXJUIJOTQBDFT t RVBMJUJFTPGMJHIU DPMPS UFYUVSF WJFX BOETPVOE Conceptual Comprehension of the ordered or disordered t JNBHFT relationships among a building’s elements and systems, t QBUUFSOT and responding to the meanings they evoke t TJHOT t TZNCPMT t DPOUFYU SPACE FUNCTION FORM TECHNICS* * Technics refers to the theory, principles, or study of an art or a process. I NTROD UCTION / X I I N T R O D U CTION Spatial System Structural System t 5IFUISFFEJNFOTJPOBMJOUFHSBUJPOPGQSPHSBNFMFNFOUTBOETQBDFT t "HSJEPGDPMVNOTTVQQPSUTIPSJ[POUBMCFBNTBOETMBCT accommodates the multiple functions and relationships of a house. t 5IFDBOUJMFWFSBDLOPXMFEHFTUIFEJSFDUJPOPGBQQSPBDIBMPOHUIF longitudinal axis. Enclosure System t 'PVSFYUFSJPSXBMMQMBOFTEFGJOFBSFDUBOHVMBSWPMVNFUIBUDPOUBJOT the program elements and spaces. Villa Savoye, Poissy, east of Paris, 1923–31, Le Corbusier This graphic analysis illustrates the way architecture embodies the harmonious integration of interacting and interrelated parts into a complex and unified whole. XI I / AR C HIT EC T UR E: FOR M , S PA C E , & O R D E R IN T RODUC T I ON Circulation System Context t 5IFTUBJSBOESBNQQFOFUSBUFBOEMJOLUIFUISFFMFWFMT BOEIFJHIUFO t "TJNQMFFYUFSJPSGPSNXSBQTBSPVOEBDPNQMFYJOUFSJPSPSHBOJ[BUJPO the viewer’s perception of forms in space and light. of forms and spaces. t 5IFDVSWFEGPSNPGUIFFOUSBODFGPZFSSFGMFDUTUIFNPWFNFOUPG t &MFWBUJOHUIFNBJOGMPPSQSPWJEFTBCFUUFSWJFXBOEBWPJETUIFIVNJEJUZ the automobile. of the ground. t "HBSEFOUFSSBDFEJTUSJCVUFTTVOMJHIUUPUIFTQBDFTHBUIFSFEBSPVOEJU “Its severe, almost square exterior surrounds an intricate interior configura- tion glimpsed through openings and from protrusions above.... Its inside order accommodates the multiple functions of a house, domestic scale, and partial mystery inherent in a sense of privacy. Its outside order expresses the unity of the idea of house at an easy scale appropriate to the green field it dominated and possibly to the city it will one day be part of.” Robert Venturi, Complexity and Contradiction in Architecture, 1966 I N T ROD UCTION / X III XI V / AR C HIT EC T UR E: FORM , S PA C E , & O R D E R 1 Primary Elements “All pictorial form begins with the point that sets itself in motion… The point moves... and the line comes into being—the first dimension. If the line shifts to form a plane, we obtain a two-dimensional element. In the movement from plane to spaces, the clash of planes gives rise to body (three-dimensional)... A summary of the kinetic energies which move the point into a line, the line into a plane, and the plane into a spatial dimension.” Paul Klee The Thinking Eye: The Notebooks of Paul Klee (English translation) 1961 P R I M A RY E L E ME N T S This opening chapter presents the primary elements of form in the order of their growth from the point to a one-dimensional line, from the line to a two- dimensional plane, and from the plane to a three-dimensional volume. Each element is first considered as a conceptual element, then as a visual element in the vocabulary of architectural design. As conceptual elements, the point, line, plane, and volume are not visible except to the mind’s eye. While they do not actually exist, we nevertheless feel their presence. We can sense a point at the meeting of two lines, a line marking the contour of a plane, a plane enclosing a volume, and the volume of an object that occupies space. When made visible to the eye on paper or in three-dimensional space, these elements become form with characteristics of substance, shape, size, color, and texture. As we experience these forms in our environment, we should be able to perceive in their structure the existence of the primary elements of point, line, plane, and volume. 2 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R PR IMA RY E L E M E N T S As the prime generator of form, the Point indicates a position in space. Point A point extended becomes a Line with properties of: Line t MFOHUI t EJSFDUJPO t QPTJUJPO A line extended becomes a Plane with properties of: Plane t MFOHUIBOEXJEUI t TIBQF t TVSGBDF t PSJFOUBUJPO t QPTJUJPO A plane extended becomes a Volume with properties of: Volume t MFOHUI XJEUI BOEEFQUI t GPSNBOETQBDF t TVSGBDF t PSJFOUBUJPO t QPTJUJPO PRI M ARY ELEMENTS / 3 POINT t A point marks a position in space. Conceptually, it has no length, width, or depth, and is therefore static, centralized, and directionless. As the prime element in the vocabulary of form, a point can serve to mark: t UIFUXPFOETPGBMJOF t UIFJOUFSTFDUJPOPGUXPMJOFT t UIFNFFUJOHPGMJOFTBUUIFDPSOFSPGBQMBOFPSWPMVNF t UIFDFOUFSPGBGJFME Although a point theoretically has neither shape nor form, it begins to make its presence felt when placed within a visual field. At the center of its environment, a point is stable and at rest, organizing surrounding elements about itself and dominating its field. When the point is moved off-center, however, its field becomes more aggressive and begins to compete for visual supremacy. Visual tension is created between the point and its field. 4 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R P O INT E L E M E N T S A point has no dimension. To visibly mark a position in space or on the ground plane, a point must be projected vertically into a linear form, as a column, obelisk, or tower. Any such columnar element is seen in plan as a point and therefore retains the visual characteristics of a point. Other point-generated forms that share these same visual attributes are the: Piazza del Campidoglio, Rome, c. 1544, Michelangelo Buonarroti. The equestrian statue of Marcus Aurelius marks the center of this urban space. t $JSDMF 5IPMPTPG1PMZDMFJUPT, Epidauros, Greece, c. 350 B.C. t $ZMJOEFS #BQUJTUFSZBU1JTB, Italy, 1153–1265, Diotisalvi t 4QIFSF $FOPUBQIGPS4JS*TBBD/FXUPO, Project, 1784, Étienne-Louis Boulée Mont St. Michel, France, 13th century and later. The pyramidal composition culminates in a spire that serves to establish this fortified monastery as a specific place in the landscape. PRI M ARY ELEMENTS / 5 TW O POIN TS Two points describe a line that connects them. Although the points give this line finite length, the line can also be considered a segment of an infinitely longer path. Two points further suggest an axis perpendicular to the line they describe and about which they are symmetrical. 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. 6 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R T W O P OI N T S Two points established in space by columnar elements or centralized forms can define an axis, an ordering device used throughout history to organize building forms and spaces. 5PSJJ *TF4ISJOF, Mie Prefecture, Japan, A.D. 690 In plan, two points can denote a gateway signifying passage from one place to another. Extended vertically, the two points define both a plane of entry and an approach perpendicular to it. The Mall, Washington, D.C., lies along the axis established by the Lincoln Memorial, the Washington Monument, and the United States Capitol building. PRI M ARY ELEMENTS / 7 LINE A point extended becomes a line. 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. A line can serve to: t KPJO MJOL TVQQPSU TVSSPVOE PS intersect other visual elements t EFTDSJCFUIFFEHFTPGBOEHJWFTIBQFUPQMBOFT t BSUJDVMBUFUIFTVSGBDFTPGQMBOFT 8 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R LINE Although a line theoretically has only one dimension, it must have some degree of thickness to become visible. It is seen as a line simply because its length dominates its width. 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. PRI M ARY ELEMENTS / 9 L I N E A R E L E ME N TS Vertical linear elements, such as columns, obelisks, and towers, have been used throughout history to commemorate significant events and establish particular points in space. #FMM5PXFS $IVSDIBU7VPLTFOOJTLB, Imatra, Finland, 1956, Alvar Aalto.FOIJS, $PMVNOPG.BSDVT"VSFMJVT, 0CFMJTLPG-VYPS, a prehistoric monument consisting of an Piazza Colonna, Rome, A.D. 174. 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. the emperor’s victory over Germanic was given by the viceroy of Egypt, Mohamed Ali, to tribes north of the Danube. Louis Phillipe and was installed in 1836. 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.D. 1569–1575 1 0 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R LIN EA R E L E M E N T S Linear members that possess the necessary material strength can perform structural functions. In these three examples, linear elements: t FYQSFTTNPWFNFOUBDSPTTTQBDF t QSPWJEFTVQQPSUGPSBOPWFSIFBEQMBOF t GPSNBUISFFEJNFOTJPOBMTUSVDUVSBMGSBNF for architectural space $BSZBUJE1PSDI, The Erechtheion, Athens, 421–405 B.C., Mnesicles. 4BMHJOBUPCFM#SJEHF, Switzerland, 1929–1930, Robert Maillart. The sculptured female figures stand as columnar supports for the Beams and girders have the bending strength to span the space entablature. between their supports and carry transverse loads. ,BUTVSB*NQFSJBM7JMMB, Kyoto, Japan, 17th century. Linear columns and beams together form a three-dimensional framework for architectural space. PRI M ARY ELEMENTS / 1 1 L I N E A R E L E ME N TS A line can be an imagined element rather than a visible one in architecture. An example is the axis, a regulating line established by two distant points in space and about which elements are symmetrically arranged. 7JMMB"MEPCSBOEJOJ, Italy, 1598–1603, Giacomo Della Porta )PVTF, 1966, 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. $PSOFMM6OJWFSTJUZ6OEFSHSBEVBUF)PVTJOH (Project), Ithaca, New York, 1974, Richard Meier 1 2 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R LIN EA R E L E M E N T S 5PXO)BMM 4ÊZOÊUTBMP, Finland, 1950–1952, Alvar Aalto At a smaller scale, lines articulate the edges and surfaces of planes and volumes. 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. $SPXO)BMM, School of Architecture and Urban Design, Illinois Institute of Technology, 4FBHSBN#VJMEJOH, New York City, 1956–1958, Chicago, 1956, Mies van der Rohe Mies van de Rohe and Philip Johnson PRI M ARY ELEMENTS / 1 3 FR O M L I N E TO PL ANE Two parallel lines have the ability to visually describe a plane. 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. “The column is a certain strengthened part of a wall, carried up perpendicular from the foundation to the top … A row of columns is indeed nothing but a wall, open and discontinued in several places.” Leon Battista Alberti 1 4 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R LIN EA R ELEMEN T S D EF INI N G P L A N E S "MUFT.VTFVN, Berlin, 1823–1830, Karl Friedrich Schinkel A row of columns supporting an entablature—a colonnade—is often used to define the public face or facade of a building, especially one that fronts on a major civic space. 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 1545 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 4UPBPG"UUBMVT fronting the Agora in Athens presented a uniform but elegant face to the Piazza del Signori. PRI M ARY ELEMENTS / 1 5 L I N E A R E L E ME N TS DEFINING PLANES Cloister of.PJTTBD"CCFZ, France, c. 1100 In addition to the structural role columns play in supporting an These two examples illustrate how columns overhead floor or roof plane, they can articulate the penetrable can define the edges of an exterior space boundaries of spatial zones which mesh easily with adjacent defined within the mass of a building spaces. as well as articulate the edges of a building mass in space. 5FNQMFPG"UIFOB1PMJBT, Priene, c. 334 B.C., Pythius 4U1IJMJCFSU, Tournus, France, 950–1120. This view of the nave shows how rows of columns can provide a rhythmic measure of space. 1 6 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R LIN EA R ELEMEN T S D EF INI N G P L A N E S $BSZ)PVTF, Mill Valley, California, 1963, Joseph Esherick Trellised Courtyard, (FPSHJB0,FFGF3FTJEFODF, Abiquiu, northwest of Sante Fe, New Mexico The linear members of trellises and pergolas can provide a moderate degree of definition and enclosure for outdoor spaces while allowing filtered sunlight and breezes to penetrate. 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. Solarium of $POEPNJOJVN6OJU 4FB3BODI, California, 1966, Moore, Lyndon, Turnbull, Whitaker (MLTW) PRI M ARY ELEMENTS / 1 7 P LA N E A line extended in a direction other than its intrinsic direction becomes a plane. Conceptually, a plane has length and width, but no depth. Shape is the primary identifying characteristic of a plane. 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. 1 8 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R PLANE Planes in architecture define three-dimensional volumes of mass and space. 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. PRI M ARY ELEMENTS / 1 9 P LA N AR E L E ME N TS The ground plane ultimately supports all architectural construction. 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, 1721–1725. Alessandro Specchi designed this civic project to connect the Piazza di Spagna with SS. Trinita de’ Monti; completed by Francesco de Sanctis..PSUVBSZ5FNQMFPG2VFFO)BUTIFQTVU, Dêr el-Bahari, Thebes, 1511–1480 B.C., Senmut. 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.1500 in the Andes Mountains on a saddle between two peaks, 8000 ft. above the Urubamba River in south-central Peru. 2 0 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R P LA N A R E L E M E N T S Sitting Area, -BXSFODF)PVTF, Sea Ranch, California, 1966, MLTW The floor plane is the horizontal element that sustains the force of gravity as we move around and place objects for our use on it. 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. &NQFSPShT4FBU *NQFSJBM1BMBDF, Kyoto, Japan, 17th century #BDBSEJ0GGJDF#VJMEJOH (Project), Santiago de Cuba, 1958, Mies van der Rohe PRI M ARY ELEMENTS / 2 1 P LA N AR E L E ME N TS 4.BSJB/PWFMMB, Florence, 1456–1470. The Renaissance facade by Alberti presents a public face to a square. Exterior wall planes isolate a portion of space to create a controlled 6GGJ[J1BMBDF, 1560–1565, Giorgio Vasari. interior environment. Their construction provides both privacy and This Florentine street defined by the two wings of the Uffizi protection from the climatic elements for the interior spaces of a Palace links the Piazza della Signoria with the River Arno. building, while openings within or between their boundaries reestablish a connection with the exterior environment. 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. 1JB[[B4BO.BSDP, Venice. The continuous facades of buildings form the “walls” of the urban space. 2 2 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R PLA N AR E L E M E N T S A compelling way to use the vertical wall plane is as a supporting element in the bearing-wall structural system. 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. 1FZSJTTBD3FTJEFODF, Cherchell, Algeria, 1942, Le Corbusier $PVOUSZ)PVTFJO#SJDL (Project), 1923, 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. PRI M ARY ELEMENTS / 2 3 P LA N AR E L E ME N TS $PODFSU)BMM (Project), 1942, Mies van der Rohe Interior wall planes govern the size and shape of the internal spaces or rooms As a design element, a wall plane can merge with the floor or ceiling plane, or be within a building. 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. texture, or material. 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. 'JOOJTI1BWJMJPO, New York World’s Fair, 1939, Alvar Aalto 2 4 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R PLA N AR E L E M E N T S )BOHBS %FTJHO*, 1935, Pier Luigi Nervi. The lamella structure expresses the way forces are resolved and channeled down to the roof supports. #SJDL)PVTF, New Canaan, Connecticut, 1949, Philip Johnson. 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 primary sheltering element that unifies the different parts of a space. It can space. It may be the underside of an overhead floor or roof plane and express serve as a repository for frescoes and other means of artistic expression or the form of its structure as it spans the space between its supports, or it be treated simply as a passive or receding surface. It can be raised or lowered may be suspended as the upper enclosing surface of a room or hall. to alter the scale of a space or to define spatial zones within a room. Its form can be manipulated to control the quality of light or sound within a space. $IVSDIBU7VPLTFOOJTLB, Imatra, Finland, 1956, Alvar Aalto. The form of the ceiling plane defines a progression of spaces and enhances their acoustical quality. PRI M ARY ELEMENTS / 2 5 P LA N AR E L E ME N TS The roof plane is the essential sheltering element that protects the interior of a building from the climatic elements. The form and geometry of its structure is established by the manner in which it spans across space to bear on its supports and slopes to shed rain and melting snow. As a design element, the roof plane is significant because of the impact it can have on the form and silhouette of a building within its setting. Dolmen, a prehistoric monument consisting of two or more large upright The roof plane can be hidden from view by the exterior walls of a stones supporting a horizontal stone slab, found especially in Britain and building or merge with the walls to emphasize the volume of the France and usually regarded as a burial place for an important person. building mass. It can be expressed as a single sheltering form that encompasses a variety of spaces beneath its canopy, or comprise a number of hats that articulate a series of spaces within a single building. A roof plane can extend outward to form overhangs that shield door and window openings from sun or rain, or continue downward further still to relate itself more closely to the ground plane. In warm climates, it can be elevated to allow cooling breezes to flow 3PCJF)PVTF, Chicago,1909, Frank Lloyd Wright. across and through the interior spaces of a building. The low sloping roof planes and broad overhangs are characteristic of the Prairie School of Architecture. 4IPEIBO)PVTF, Ahmedabad, India, 1956, Le Corbusier. A grid of columns elevates the reinforced concrete roof slab above the main volume of the house. 2 6 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R PLA N AR E L E M E N T S 'BMMJOHXBUFS ,BVGNBOO)PVTF , near Ohiopyle, Pennsylvania ,1936–1937, Frank Lloyd Wright. Reinforced concrete slabs express the horizontality of the floor and roof planes as they cantilever outward from a central vertical core. The overall form of a building can be endowed with a distinctly planar quality by carefully introducing openings that expose the edges of vertical and horizontal planes. These planes can be further differentiated and accentuated by changes in color, texture, or material. 4DISÚEFS)PVTF, Utrecht, 1924–1925, Gerrit Thomas Rietveld. Asymmetrical compositions of simple rectangular forms and primary colors characterized the de Stijl School of Art and Architecture. PRI M ARY ELEMENTS / 2 7 VOL U M E A plane extended in a direction other than its intrinsic direction becomes a volume. Conceptually, a volume has three dimensions: length, width, and depth. All volumes can be analyzed and understood to consist of: t QPJOUTPSWFSUJDFTXIFSFTFWFSBMQMBOFTDPNFUPHFUIFS t MJOFTPSFEHFTXIFSFUXPQMBOFTNFFU t QMBOFTPSTVSGBDFTUIBUEFGJOFUIFMJNJUTPS boundaries of a volume Form is the primary identifying characteristic of a volume. It is established by the shapes and interrelationships of the planes that describe the boundaries of the volume. As the three-dimensional element in the vocabulary of architectural design, a volume can be either a solid—space displaced by mass—or a void—space contained or enclosed by planes. 2 8 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R V OL UM E Plan and Section In architecture, a volume can be seen to be either a portion of space contained Space defined by wall, floor, and ceiling or roof planes and defined by wall, floor, and ceiling or roof planes, or a quantity of space displaced by the mass of a building. It is important to perceive this duality, especially when reading orthographic plans, elevations, and sections. &MFWBUJPO Space displaced by the mass of a building /PUSF%BNF%V)BVU, Ronchamp, France, 1950–1955, Le Corbusier PRI M ARY ELEMENTS / 2 9 VOL U M E TRIC E L E MENTS Building forms that stand as objects in the landscape can be read as occupying volumes in space. %PSJD5FNQMFBU4FHFTUB, Sicily, c. 424–416 B.C. 7JMMB(BSDIFT, Vaucresson, France, 1926–1927, Le Corbusier #BSO in Ontario, Canada 3 0 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R V O LU MET R I C E L E M E N T S Building forms that serve as containers can be read as masses that define volumes of space. 1JB[[B.BHHJPSF, Sabbioneta, Italy. A series of buildings enclose an urban square. Palazzo Thiene, Vicenza, Italy, 1545, Andrea Palladio. The interior rooms surround a cortile— the principal courtyard of an Italian palazzo. #VEEIJTU$IBJUZB)BMMBU,BSMJ, Maharashtra, India, A.D. 100–125. The sanctuary is a volume of space carved out of the mass of solid rock. PRI M ARY ELEMENTS / 3 1 /PUSF%BNF%V)BVU, Ronchamp, France, 1950–1955, Le Corbusier 3 2 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R 2 Form “Architectural form is the point of contact between mass and space … Architectural forms, textures, materials, modulation of light and shade, color, all combine to inject a quality or spirit that articulates space. The quality of the architecture will be determined by the skill of the designer in using and relating these elements, both in the interior spaces and in the spaces around buildings.” Edmund N. Bacon The Design of Cities 1974 FOR M Form is an inclusive term that has several meanings. It may refer to an In the context of this study, form suggests reference to both internal external appearance that can be recognized, as that of a chair or the structure and external outline and the principle that gives unity to the whole. human body that sits in it. It may also allude to a particular condition in While form often includes a sense of three-dimensional mass or volume, shape which something acts or manifests itself, as when we speak of water in the refers more specifically to the essential aspect of form that governs its form of ice or steam. In art and design, we often use the term to denote the appearance—the configuration or relative disposition of the lines or contours formal structure of a work—the manner of arranging and coordinating the that delimit a figure or form. elements and parts of a composition so as to produce a coherent image. Shape The characteristic outline or surface configuration of a particular form. Shape is the principal aspect by which we identify and categorize forms. In addition to shape, forms have visual properties of: Size The physical dimensions of length, width, and depth of a form. While these dimensions determine the proportions of a form, its scale is determined by its size relative to other forms in its context. Color A phenomenon of light and visual perception that may be described in terms of an individual’s perception of hue, saturation, and tonal value. Color is the attribute that most clearly distinguishes a form from its environment. It also affects the visual weight of a form. Texture The visual and especially tactile quality given to a surface by the size, shape, arrangement, and proportions of the parts. Texture also determines the degree to which the surfaces of a form reflect or absorb incident light. 3 4 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R P R O P ERT I E S OF F ORM Forms also have relational properties that govern the pattern and composition of elements: Position The location of a form relative to its environment or the visual field within which it is seen. Orientation The direction of a form relative to the ground plane, the compass points, other forms, or to the person viewing the form. Visual Inertia The degree of concentration and stability of a form. The visual inertia of a form depends on its geometry as well as its orientation relative to the ground plane, the pull of gravity, and our line of sight. All of these properties of form are in reality affected by the conditions under which we view them. t "DIBOHJOHQFSTQFDUJWFPSBOHMFPGWJFXQSFTFOUTEJGGFSFOUTIBQFTPSBTQFDUTPGBGPSNUPPVSFZFT t 0VSEJTUBODFGSPNBGPSNEFUFSNJOFTJUTBQQBSFOUTJ[F t 5IFMJHIUJOHDPOEJUJPOTVOEFSXIJDIXFWJFXBGPSNBGGFDUTUIFDMBSJUZPGJUTTIBQFBOETUSVDUVSF t 5IFWJTVBMGJFMETVSSPVOEJOHBGPSNJOGMVFODFTPVSBCJMJUZUPSFBEBOEJEFOUJGZJU FORM / 3 5 SHA P E Shape refers to the characteristic outline of a plane figure or the surface configuration of a volumetric form. It is the primary means by which we recognize, identify, and categorize QBSUJDVMBSGJHVSFTBOEGPSNT0VSQFSDFQUJPOPG shape depends on the degree of visual contrast that exists along the contour separating a figure from its ground or between a form and its field. Bust of Queen Nefertiti The pattern of eye movement of a person viewing the figure, from research by Alfred L. Yarbus of the Institute for Problems of Information Transmission in Moscow. In architecture, we are concerned with the shapes of: t GMPPS XBMM BOEDFJMJOHQMBOFTUIBUFODMPTF space t EPPSBOEXJOEPXPQFOJOHTXJUIJOBTQBUJBM enclosure t TJMIPVFUUFTBOEDPOUPVSTPGCVJMEJOHGPSNT 3 6 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R SHAPE These examples illustrate how shaping the juncture between mass and space expresses the manner in which the contours of a building mass rise from the ground plane and meet the sky. Central Pavilion, Horyu-Ji Temple, Nara, Japan, A.D. 607 Villa Garches, Vaucresson, France, 1926–1927, Le Corbusier. This architectural composition illustrates the interplay between the shapes of planar solids and voids. Suleymaniye Mosque, Constantinople (Istanbul), 1551–1558, Mimar Sinan FORM / 3 7 P R I M ARY SHAPE S Gestalt psychology affirms that the mind will simplify the visual environment in order to understand it. Given any composition of forms, we tend to reduce the subject matter in our visual field to the simplest and most regular shapes. The simpler and more regular a shape is, the easier it is to perceive and understand. From geometry we know the regular shapes to be the circle, and the infinite series of regular QPMZHPOTUIBUDBOCFJOTDSJCFEXJUIJOJU0GUIFTF UIFNPTUTJHOJGJDBOUBSFUIFQSJNBSZTIBQFT the circle, the triangle, and the square. Circle A plane curve every point of which is equidistant from a fixed point within the curve Triangle A plane figure bounded by three sides and having three angles Square A plane figure having four equal sides and four right angles 3 8 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R C I RC L E Plan of the Ideal City of Sforzinda, 1464, Antonio Filarete Neutral Stable Unstable Equilibrium Stable Self-centered Dynamic Fixed in place Compositions of circles and circular segments The circle is a centralized, introverted figure that is normally stable and self-centering in its environment. Placing a circle in the center of a field reinforces its inherent centrality. Associating it with straight or angular forms or placing an element along its circumference, however, can induce in the circle an apparent rotary motion. Roman Theater according to Vitruvius FORM / 3 9 TR I A NG L E The triangle signifies stability. When resting on one of its sides, the triangle is an extremely stable figure. When tipped to stand on one of its vertices, however, it can either be balanced in a precarious state of equilibrium or be unstable and tend to fall over onto one of its sides. Modern Art Museum, Caracas 1SPKFDU 7FOF[VFMB 0TDBS/JFNFZFS Vigo Sundt House, Madison, Wisconsin, 1942, Frank Lloyd Wright Great Pyramid of Cheops at Giza, Egypt, c. 2500 B.C. 4 0 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R S QUA RE Compositions resulting from the rotation and modification of the square The square represents the pure and the rational. It is a bilaterally symmetrical figure having two equal and perpendicular axes. All other rectangles can be considered variations of the square—deviations from the norm by the addition of height or width. Like the triangle, the square is stable when resting on one of its sides and dynamic when standing on one of its corners. When its diagonals are vertical and horizontal, however, the square exists in a balanced state of equilibrium. Bathhouse, Jewish Community Center, Trenton, New Jersey, Agora of Ephesus, Asia Minor, 3rd century B. C. 1954–1959, Louis Kahn FORM / 4 1 SU R FAC E S In the transition from the shapes of planes to the forms of volumes is situated the realm of surfaces. Surface first refers to any figure having only two dimensions, such as a flat plane. The term, however, can also allude to a curved two-dimensional locus of points defining the boundary of a three-dimensional solid. There is a special class of the latter that can be generated from the geometric family of curves and straight lines. This class of curved surfaces include the following: t $ZMJOESJDBMTVSGBDFTBSFHFOFSBUFECZTMJEJOHBTUSBJHIUMJOF along a plane curve, or vice versa. Depending on the curve, a cylindrical surface may be circular, elliptic, or parabolic. Because of its straight line geometry, a cylindrical surface can be regarded as being either a translational or a ruled surface. t 5SBOTMBUJPOBMTVSGBDFTBSFHFOFSBUFECZTMJEJOHBQMBOFDVSWF along a straight line or over another plane curve. t 3VMFETVSGBDFTBSFHFOFSBUFECZUIFNPUJPOPGBTUSBJHIU line. Because of its straight line geometry, a ruled surface is generally easier to form and construct than a rotational or translational surface. t 3PUBUJPOBMTVSGBDFTBSFHFOFSBUFECZSPUBUJOHBQMBOFDVSWF about an axis. t 1BSBCPMPJETBSFTVSGBDFTBMMPGXIPTFJOUFSTFDUJPOTCZQMBOFT are either parabolas and ellipses or parabolas and hyperbolas. Parabolas are plane curves generated by a moving point that remains equidistant from a fixed line and a fixed point not on the line. Hyperbolas are plane curves formed by the intersection of a right circular cone with a plane that cuts both halves of the cone. t )ZQFSCPMJDQBSBCPMPJETBSFTVSGBDFTHFOFSBUFECZTMJEJOH a parabola with downward curvature along a parabola with upward curvature, or by sliding a straight line segment with its ends on two skew lines. It can thus be considered to be both a translational and a ruled surface. 4 2 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R C U RV E D S URFA C E S Saddle surfaces have an upward curvature in one direction and a downward curvature in the perpendicular EJSFDUJPO3FHJPOTPGEPXOXBSEDVSWBUVSFFYIJCJUBSDIMJLF action while regions of upward curvature behave as a cable structure. If the edges of a saddle surface are not supported, beam behavior may also be present. The type of structural system that can best take advantage of this doubly curved geometry is the shell structure—a thin, plate structure, usually of reinforced concrete, which is shaped to transmit applied forces by compressive, tensile, and shear stresses acting in the plane of the curved surface. Restaurant Los Manantiales, Xochimilco, Mexico, 1958, Felix Candela. The structure consists of a radial arrangement of eight hyperbolic paraboloid segments. 3FMBUFEUPTIFMMTUSVDUVSFTBSFHSJETIFMM structures, which were pioneered by the 3VTTJBOFOHJOFFS7MBEJNJS4IVLIPWJOUIFMBUF 19th century. Like shell structures, gridshells rely on their double curvature geometry for their strength but are constructed of a grid or lattice, usually of wood or steel. Gridshells are capable of being formed into irregular curved surfaces, relying on computer modeling programs for their structural analysis and optimization and sometimes their fabrication and assembly as well. See also pages 172–173 for a related discussion of diagrids. FORM / 4 3 C U RV ED SU R FACE S The fluid quality of curved surfaces contrasts with the angular nature of rectilinear forms and is appropriate for describing the form of shell structures as well as non-load- bearing elements of enclosure. Symmetrical curved surfaces, such as domes and barrel vaults, are inherently stable. Asymmetrical curved surfaces, on the other hand, can be more vigorous and expressive in nature. Their shapes change dramatically as we view them from different perspectives. Olympic Velodrome, Athens, Greece, 2004 (renovation of original 1991 structure), Santiago Calatrava Walt Disney Concert Hall -PT"OHFMFT $BMJGPSOJB o 'SBOL0(FISZ1BSUOFST 4 4 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R C U RV E D S URFA C E S Banff Community Recreation Center, Banff, Alberta, Canada, 2011, GEC Architecture Tenerife Concert Hall, Canary Islands, Spain 1997–2003, Santiago Calatrava FORM / 4 5 P R I M A RY SOL I DS “…cubes, cones, spheres, cylinders, or pyramids are the great primary forms that light reveals to advantage; the image of these is distinct and tangible within us and without ambiguity. It is for this reason that these are beautiful forms, the most beautiful forms.” Le Corbusier The primary shapes can be extended or rotated to generate volumetric forms or solids that are distinct, regular, and easily recognizable. Circles generate spheres and cylinders; triangles generate cones and pyramids; squares generate cubes. In this context, the term “solid” does not refer to firmness of substance but rather to a three-dimensional geometric body or figure. Sphere A solid generated by the revolution of a semicircle about its diameter, whose surface is at all points equidistant from the center. A sphere is a centralized and highly concentrated form. Like the circle from which it is generated, it is self-centering and normally stable in its environment. It can be inclined toward a rotary motion when placed on a sloping plane. From any viewpoint, it retains its circular shape. Cylinder A solid generated by the revolution of a rectangle about one of its sides. A cylinder is centralized about the axis passing through the centers of its two circular faces. Along this axis, it can be easily extended. The cylinder is stable if it rests on one of its circular faces; it becomes unstable when its central axis is inclined from the vertical. 4 6 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R P R IM A RY S OL I DS Cone A solid generated by the revolution of a right triangle about one of its sides. Like the cylinder, the cone is a highly stable form when resting on its circular base, and unstable when its vertical axis is tipped or overturned. It can also rest on its apex in a precarious state of balance. Pyramid A polyhedron having a polygonal base and triangular faces meeting at a common point or vertex. The pyramid has properties similar to those of the cone. Because all of its surfaces are flat planes, however, the pyramid can rest in a stable manner on any of its faces. While the cone is a soft form, the pyramid is relatively hard and angular. Cube A prismatic solid bounded by six equal square sides, the angle between any two adjacent faces being a right angle. Because of the equality of its dimensions, the cube is a static form that lacks apparent movement or direction. It is a stable form except when it stands on one of its edges or corners. Even though its angular profile is affected by our point of view, the cube remains a highly recognizable form. FORM / 4 7 P R I M A RY SOL I DS Maupertius, Project for an Agricultural Lodge, 1775, Claude-Nicolas Ledoux Chapel, Massachusetts Institute of Technology, Cambridge, Massachusetts, 1955, Eero Saarinen and Associates Project for a Conical Cenotaph, 1784, Étienne-Louis Boulée 4 8 / ARC HIT EC T UR E: FOR M , S PA C E , & O R D E R PR IM A RY S OL I DS Pyramids of Cheops, Chephren, and Mykerinos at Giza, Egypt, c. 2500 B.C. :H2?:"92D2E69AFC*:

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