Spatial Theory

SPATIAL THEORY: THE INTERDEPENDENCE OF FORM AND SPACE

• In architecture, two primary components are crucial:
    - Mass: Represents the physical solid.
    - Void: Represents the invisible volume of space where human activities occur.
• Francis D.K. Ching explains:
    - Mass and Void are interdependent; one cannot perceive space without the boundaries defined by form.
    - This analogy is akin to how a cup exists only to contain water, emphasizing the necessity of boundaries to interpret space.
    - The interaction, or "contact," between Mass and Void is critical for design, as architects determine the volume of solid mass required to create a meaningful void.
• This relationship is often referred to as the "Yin and Yang" of Architecture.

The Unity of Opposites

• According to Ching, architecture achieves a "Unity of Opposites" when Mass and Void are conceived as an inseparable system:
    - Walls are not merely solid objects; they define both the room's shape on one side and the exterior character on the other.
    - Neither Mass nor Void is deemed more important; both contribute to a "figure-ground" relationship:
      - The quality of empty space relies entirely on the precision of the solid form surrounding it.

HISTORY OF ARCHITECTURE

• Taj Mahal: Key architectural elements include:
    - Layout and Components:
      - Lotus Pool, Masjid, Charbagh, Royal Tombs, Main Entrance, Secondary Entry Gates, Iwans, and a 3D layout view.
      - Central Chamber with an Onion Dome resting on a base.
    - Structural Details:
      - Four main marble iwans, four intermediate halls, stairs to the roof, and stairs to the crypt.

• Pantheon, Rome: Significant features:
    - Diameter: $43.2 ext{ m}$, Oculu diameter: $8.8 ext{ m}$
    - Constructed in Ancient Roman Architectural Style with elements such as:
      - Stepped dome, Corinthian columns, friezes with carved metal leaves, lightweight materials above and heavy materials below.

• Defining Space & Form (Ching's framework):
    - Point: Defines a specific place in space.
    - Line: Marks the edges or boundaries defining a volume.
    - Plane: Extended line, forming a flat surface.
    - Volume: 3D result characterized by length, width, and depth.

Forms and Space in Architecture

• Form: Refers to a building's 3D shape, mass, and overall configuration, influenced by:
    - Function, context, culture, and materials to create visual identity and evoke emotion.
    - Components that define form:
      - Shape, size, texture, color, position.
    - Interaction with light and shadow shapes space and conveys meaning.
    - Adheres to the principle that "form follows function."

Regular vs Irregular Forms

• Regular Forms: Defined as orderly and symmetrical, based on foundational shapes like:
    - Sphere, cylinder, cone, cube, pyramid. They signify stability and are organized around axes.
    - Example Buildings:
      - Pyramids of Giza, Cairo, Egypt (2600-2500 BC), Pantheon, Rome, Italy (118-128 AD), Villa Savoye, Poissy, France (1929) by Le Corbusier.

• Irregular Forms: Asymmetrical and dynamic configurations that involve subtraction or combinations of different shapes creating new compositions.
    - Example Buildings:
      - Guggenheim Museum, Bilbao, Spain (1997) by Frank Gehry, Jewish Museum, Berlin, Germany (2001) by Daniel Libeskind, The Interlace, Singapore (2013) by Ole Scheeren.

Static and Dynamic Forms

• Static Forms: E.g., cube or pyramid
    - Characteristics: Firmly positioned, depict permanence, calmness, and stability; express Firmitas.
    - Examples:
      - National Gallery East Wing, USA by I.M. Pei, Bruder Klaus Field Chapel, Germany by Peter Zumthor, The Salk Institute, USA by Louis Kahn.

• Dynamic Forms: Convey a sense of movement or direction with design elements expressing visual energy.
    - Examples:
      - Vitra Design Museum, Germany by Frank Gehry, TWA Flight Center, USA by Eero Saarinen, CCTV Headquarters, China by OMA/Rem Koolhaas.

Transformations of Forms

• Dimensional transformation: Changes one or more dimensions (length, width, height) without losing original identity.
• Subtractive transformation: Removal of parts from a volume, can retain or change original identity based on scale.
• Additive transformation: Adding elements to a volume; identity is retained or altered based on position and size of additions.
    - Example Projects:
      - Unité d'Habitation, Firminy-Vert, France (1963–68) by Le Corbusier (Dimensional Transformation).
      - Gwathmey Residence, Amagensett, New York (1967) by Charles Gwathmey (Subtractive Transformation).
      - Il Redentore, Venice (1577–92) by Andrea Palladio (Additive Transformation).

Relationships Between Forms

• Spatial Tension: Relies on the proximity of forms or shared visual traits such as shape or material.
• Edge-to-edge Contact: Forms pivot about a common edge.
• Face-to-face Contact: Requires parallel planes for proper alignment.
• Interlocking Volumes: Volumes occupy each other’s space without necessity for shared traits.
    - Example Projects:
      - Salk Institute, La Jolla, California (1959-65) by Louis Kahn (Edge-to-edge Contact).
      - Barcelona Pavilion, Spain (1929) by Ludwig Mies Van der Rohe (Face-to-face Connection).
      - Therme Vals, Swiss Alps (1996) by Peter Zumthor (Interlocking Volume).

Spatial Configurations of Forms

• Centralized: Forms clustered around a dominant space.
    - Example: Tempietto, S. Pietro in Montorio, Rome (1502) by Donato Bramante.
• Linear: Sequential arrangement in a single row.
    - Example: Queen’s College, Cambridge, England (1709-38) by Nicholas Hawksmoor.
• Radial: Linear forms extending radially from a center.
    - Example: Habitat Montreal (1967) by Moshe Safdie.
• Clustered: Forms grouped by proximity or shared characteristics.
    - Example: Nakagin Capsule Building, Tokyo (1972) by Kisho Kurokawa.
• Grid: Modular forms related to a 3D framework.

Design Problem Example

• Challenge: Design a 6.00m x 6.00m x 6.00m private Sun Room.
    - Constraints: Space should feel non-boxy and sanctuary-like for a single person, optimizing natural light throughout the day.
    - Objective: Transform the rigid geometric block into a functional architectural design that feels intentional and engaging.

Concept of Space

• Space: Defined as the “invisible” element of architecture, the three-dimensional void created and organized by form.
    - Functional material that shapes human interaction and experience within a structure.

• Types of planes that define space:
    - Elevated Base Plane: Horizontal plane elevated above ground, supporting vertical surfaces.
    - Depressed Base Plane: Horizontal plane lowered into the ground, defining a space volume with its vertical edges.
    - Overhead Plane: A plane overhead establishes a defined space below it.
    - Figure on Background: A simple field of space defined by a plane contrasting with its background.

More Architectural Examples

• Sydney Opera House: Notable for its shell-like forms and integrated structures, attributes like ceramic tile cladding, and inspiration from nature.
• The Colosseum: Features a complex structural system allowing significant spectator capacity with detailed tiered seating arrangements and a wooden arena floor.
• Robie House: An example of Prairie School style characterized by horizontal lines and open interior spaces, emphasizing relationship with the surrounding environment.

 ## Relationships Between Spaces

• Interlocking Spaces: Spaces defined within the volume of a larger space.

• Adjacent Spaces: Two spaces sharing a border that can define one another's characteristics.

• Linked Spaces: Spaces that relate through a common intermediary space.

• Key projects showcasing these relationships include the High Court of Justice in India, Fallingwater by Frank Lloyd Wright, and Kimbell Art Museum by Louis Kahn.

Spatial Organization

• Centralization: Grouping of secondary spaces around a dominant area.

• Linear: Series of spaces arranged sequentially in a straight row.

• Radial: Spaces radiating from a central area.

• Clustered: Proximity of spaces characterized by shared traits.

• Grid: Organization according to a 3D framework.

• Example Spaces:
      - Therme Vals, Switzerland by Peter Zumthor (Centralized).
      - TWA Flight Center, USA by Eero Saarinen (Radial).
      - Moriyama House, Japan by SANAA (Clustered).
      - Sendai Mediatheque, Japan by Toyo Ito (Grid).