Shaping Space: Organizing Principles of Design — Notes

Foundational concepts

• The characteristics that make a piece work well are difficult to define. Toshiko Takaezu described good work as having mystery, an unsaid quality, a spirit, and liveliness; there is also a nebulous feeling that cannot be pinned down in words. This reflects the idea that each artwork is different and created with different intent.
  • Quote: "An artist is a poet in his or her own medium. When an artist produces a good piece, the work has mystery, an unsaid quality. It contains a spirit and is alive. There's also a nebulous feeling in the piece that cannot be pinpointed in words. That to me is a good work!"
• Intent and central idea: The intent behind a work is the central idea or problem the artist is working on. It underlies the form and serves as the intangible focus of the piece. Examples: one artist may aim for lifelike representation, another to reveal the beauty of material or pure form, another to evoke emotion or intellectual realization.
• Political and social intent in contemporary art: Some works are explicitly political, targeting complacency, bigotry, taste, or cultural value.
  • Pepon Osorio’s La Cama (Fig. 3.2) uses excessive Puerto Rican decorative culture (mass-produced trinkets and religious icons) to proclaim cultural and social value that a secular art establishment may dismiss as bad taste. The bed is rich in memories of Osorio’s wife Merian Soto and his foster mother; the bedcover is adorned with capias (commemorative ribbons used in Puerto Rico) donated by friends, testifying to family value and Puerto Rican culture.
• Central intent and unity: Working from a central intention helps unify a piece. Unity is the combined result of all organizing principles of design, not a separate principle itself. It is achieved by coordinating the manipulation of form, space, line, texture, light, color, and time.
• Unity across time and media: Even though the principles can be separated for study, art across representational and nonrepresentational work still relies on repetition, variety, rhythm, balance, emphasis, economy, and proportion to unify a piece. Art today ranges from strictly representational to totally nonrepresentational, from beauty to social commentary, and from sculpture to functional pieces.
• The seven organizing principles (as treated here): repetition, variety, rhythm, balance, emphasis, economy, and proportion.
• The role of intention and audience: Without an initial sense of intention, a piece lacks a focal point; viewers actively engage by recognizing patterns, contrasts, and relationships among elements to derive meaning.
• Relationship to the elements of design: The principles organize the manipulation of the elements of design—form, space, line, texture, light, color, and time. The elements are discussed in detail in subsequent chapters.

Repetition

• Repetition defined: The use of similar design features again and again. This helps the viewer understand what they are seeing by creating a pattern the eye can follow.
• Cognitive effect: We tend to read a sequence rather than isolated instances, forming a pattern from one element to the next.
• Three-dimensional considerations: Even when forms are identical, their relation to light creates different values and shadow patterns, so repetition is not simply visually identical repetition.
• Subtle repetition: Subtle repetition can create order without calling attention to itself (quiet, understated rhythm).
• Examples:
  • Frank Lloyd Wright, Stairwell, Guggenheim Museum, New York (Fig. 3.3) demonstrates repetition of lines forming a nested triangular reading of the ascent.
  • Donald Judd, Untitled (1990): Ten units, each $6 imes 27 imes 24 ext{ in}$; overall $10' imes 27'' imes 24''$. Repetition is used within a framework that allows for a broader form exploration.
  • Moshe Safdie, Habitat (Montreal, Expo 1967): Built from $70 ext{-ton}$ rectangular modules; the repetition of identical modules enables different overall configurations by varying how the ends face the viewer and the degree of overhang.
  • Arthur Hoener (interview, November 1985) notes that repetition can grant freedom: by using repetition of light and dark modules of the same size, the piece holds together while the form can be pushed further.
• Key takeaway: Repetition provides a framework that supports unity and a sense of order while permitting variation in arrangement and perception.

Variety

• Variety as form of order: It is not chaos; rather, variety is an order where the organizing principle must be discovered by the viewer. Parts that appear different share a common thread.
• Variety as variation on a theme: Different parts may seem disparate at first, but they relate through underlying themes.
• Examples:
  • Eva Hesse, Eva Hesse’s Studio (1966): A group of parts that initially read as unrelated; closer look reveals common themes (all hanging, drooping, rope-like elements; references to circles; potential pairings such as a single round ball in a string bag vs a cluster of ovoid forms).
  • Robert Rauschenberg, No Wake Glut (1986): Construction of found metal objects; the pattern appears to reference circular motion (e.g., ribs of cylinders) though there may be no single readable solution; viewer may search for links among disparate objects.
  • Andy Goldsworthy, Sticks Stacked Around Two Rocks (1993): A contrast between many thin lines and two large forms; the arrangement is set in natural surroundings, creating a unified yet dynamic composition.
• Transitions as a form of variety: Transitions gently tie areas together by moving from one quality to another, guiding the viewer’s perception and revealing underlying logic.
• Key takeaway: Variety creates interest and depth while maintaining cohesion through underlying shared themes or contrasts.

Rhythm

• Rhythm defined: A visual rhythm arises from repetition and variation over time and space; the eye moves across changing surfaces, akin to musical phrasing.
• Movement and tempo: Rhythm involves accented and unaccented beats, crescendos and decrescendos, and a sense of flow as the eye traverses the sculpture or installation.
• Examples:
  • Easter Island statues (3.9): A sense of dramatic, single pulses (beats) through the sequence of forms.
  • Frederic Remington, Coming through the Rye (1902): A rapid staccato rhythm created by the outlines and directions of movement through space.
  • Max Bill, Monoangulated Surface in Space (1959): A continuing rhythm that rises and falls; the composition functions like a visual mantra with an Om-like cadence.
  • Michael Singer, First Gate Ritual Series (1976): The work fits with the surrounding water’s rhythm, subtly joining ripples and reflections with its own presence.
• Rhythm in context: Rhythm can contrast with the surrounding environment (e.g., urban settings) or echo the environment’s own rhythms.
• Key takeaway: Rhythm underpins unity by guiding the viewer’s perception through time and space, often without drawing overt attention to itself.

Balance

• Visual balance: A three-dimensional work should feel visually balanced; visual weight (value, texture, form, size, color) influences balance.
• Types of balance:
  • Symmetrical balance: Identical parts mirrored across a central vertical axis. Examples: Cleopatra’s Wedge by Beverly Pepper (Fig. 3.13) shows a vertically oriented wedge balanced by its base and supporting shapes; Water Organ (Fig. 3.14) shows mirror-image jets creating symmetry.
  • Asymmetrical balance: Not identical on either side of the axis but balanced in visual weight; balance is achieved through counterthrusts and thrusts on opposite sides.
• Examples:
  • Jacques Lipchitz, Prometheus Strangling the Vulture (Fig. 3.15): Rightward projection of the vulture and Prometheus’ head is balanced by a thrust to the left; a visible fulcrum at the base provides balance without a perfect center symmetry.
  • Mark di Suvero, Mozart’s Birthday (Fig. 3.16): Two apparent balancing points at the triangular bases create a dynamic, multi-point balance.
  • Atollo lamp by Vico Magistretti (Fig. 3.17): A symmetrical balance with a single central balancing point.
  • John Storrs, Forms in Space (Fig. 3.18): Structural balance that becomes evident when moving around the piece; the same balance appears from multiple perspectives.
• Vertical balance: The horizontal axis must be balanced above and below; often, more weight is needed on the bottom to support elements rising above the axis.
• Intent and balance: Balance can be deliberate or subtly imbalanced to create excitement (e.g., Prometheus’ struggle and weight distribution) or to convey motion (Standing Figure No. 2 by Arthur Hoener).
• Key takeaway: Balance is both a physical stability issue and a perceptual distribution of visual weight; it can be symmetrical, asymmetrical, vertical, or dynamic depending on intent.

Emphasis and Economy

• Emphasis basics: Emphasis involves stressing a particular area or quality to direct viewers’ attention, making one area dominant while others play a subordinate role.
• Focal points in three-dimensional work: A three-dimensional work may lack a single focal point due to multiple viewpoints; however, some works feature a dominant zone (one-sided works) or a guiding focus toward the intended goal.
• Methods to create emphasis:
  • Dominant area: The eye is drawn to the most compelling part (largest, brightest, darkest, or most complex).
  • Directing design elements toward the intended goal: In Antoni Gaudí’s Church of the Sagrada Família, the vertical ascent (height) is emphasized to uplift the viewer’s awareness; the lattice-like cutouts reduce perceived weight, creating an airy effect that visually stretches upward.
  • Visual economy: Limiting elements to reveal the essence of the idea; this stripping away nonessentials allows the viewer to experience abstract form more directly.
• Examples:
  • Naum Gabo, Linear Construction No. 1 (1943): An oval void at the center serves as the focal point; its transparency allows viewing from all angles, emphasizing the central void.
  • Antoni Gaudí, Church of the Sagrada Familia (1903–1926): Vertical emphasis creates height and a sense of uplift; the design aims to transcend gravity through lightness and upward reach.
  • Hans Coper, Ceramic Pot (8 inches tall): A minimalist, economy-driven piece that uses limited color and texture to reveal the essence of abstract form.
• Minimalism and viewer engagement: Robert Morris, Untitled (1969) uses a large felt form with a strong, understated presence; the lack of title invites viewers to bring their own meanings and interpretations, emphasizing the idea of questioning rather than delivering a message.
• Key takeaway: Emphasis and economy focus attention, reduce clutter, and allow core ideas to resonate; the balance of restraint and focus is deliberate and viewer-active.

Proportion

• Proportion as size relationships: Proportion ensures that parts relate in a way that “feels right” and yields a satisfying sense of order.
• Golden Section (the Golden Ratio): Historically valued as a model of aesthetic beauty. In practice, the most famous mathematical representation is a ratio of approximately rac{long}{short} = rac{1}{1}+rac{1}{ ext{something}} o rac{a}{b} = rac{1+
  ext{something}}{1} ext{ or } rac{a}{b} o rac{1}{rac{1}{ ext{phi}}}, but the text states the classic form as a ratio of $1: ext{approximately } 1.618$, i.e., if the short side is $1 ext{ ft}$, the long side is about $1.618 ext{ ft}.$ This ratio is known as the Golden Section or Golden Ratio, often denoted by $\boldsymbol{\phi ext{ (phi)}} \approx 1.618…$
• Applications in architecture and nature: The Golden Section appears in the Parthenon’s proportions and in natural growth patterns (e.g., growth in a nautilus shell, petals in flowers).
• Human body proportion: In representational art, ratios related to the human body—such as the body height being roughly $7.5\ ext{heads}$ tall—are used to convey believable proportion.
• Other examples of proportion in design:
  • The Atollo lamp (Fig. 3.17) demonstrates a proportion that feels “exactly right” to the eye, illustrating human perceptual sense of harmony.
  • Zen garden at Ryoan-Ji (Kyoto): The outer dimensions, the positioning of rocks, distances to the viewer, and the raked sand proportions create a contemplative balance that yields a sense of peace; changing any proportion would disrupt the unity.
• Interconnectedness of principles: Proportion works with repetition, variety, rhythm, balance, and economy to create a coherent, unified whole.
• Key takeaway: Proportion is a subtle, often mathematical, guide to how parts relate to one another; it can be grounded in historical ratios (Golden Section) or in intuitive perceptual balance, and it underpins the perceived harmony and unity of a work.

Practical and ethical implications and connections

• Purpose and politics: Contemporary art often carries social or political intent, influencing how design principles are applied and interpreted. Osorio’s La Cama foregrounds cultural value and memory, challenging assumptions about taste and taste-making in the art establishment.

• Audience engagement: Three-dimensional design invites viewers to move around works, altering perception of balance, proportion, and emphasis; this relational experience is a core aspect of understanding how principles operate in space.

• Interplay of process and meaning: Many pieces foreground process, materiality, and constraints (e.g., repetition with modular systems, economy through minimal detail), prompting viewers to consider what is essential for meaning.

• Ethical and cultural reflection: The placement and interpretation of cultural symbols (e.g., capias in La Cama) raise questions about representation, memory, and the social value of artifacts across communities.

• Connections to earlier and later discussions: The principles of design are introduced as tools for unifying manipulation of design elements and are intended to be flexible across different media and historical periods. They underpin how artists approach description, construction, and viewer interaction across representational and nonrepresentational art, sculpture, installation, and functional works.

Summary connections to key ideas across the chapter

• Intent is the starting point for unity: A piece’s purpose or problem defines the path toward coherent organization through repetition, variety, rhythm, balance, emphasis, economy, and proportion.
• Unity emerges from the interplay of all principles: No single principle guarantees unity; it is the composite effect of how these organizing concepts are applied to form, space, line, texture, light, color, and time.
• Three-dimensional design is diverse: The modern three-dimensional field encompasses a wide spectrum from highly representational to abstract and from functional to socially critical works; the principles of design remain relevant across this spectrum.
• The role of the viewer: In many works, especially those with minimal emphasis or abstract constructs, the viewer contributes to the meaning by interpreting patterns, relationships, and implied unity rather than receiving a definitive message.

Quick reference highlights (examples and figures)

• 3.1 Toshiko Takaezu, Bronze Bell (1980s) – quoted on artistic intuition and mystery.
• 3.2 Pepon Osorio, La Cama (The Bed) (1987) – Puerto Rican cultural motifs; capias; personal memory; social value of “bad taste.”
• 3.3 Frank Lloyd Wright, Stairwell, Guggenheim Museum – repetition of lines and nested triangles.
• 3.4 Donald Judd, Untitled (1990) – ten units; $6 imes 27 imes 24$ in per unit; overall $10' imes 27'' imes 24''$.
• 3.5 Moshe Safdie, Habitat – $70 ext{-ton}$ modules; 354 modules forming 158 houses; each module $17'6'' imes 38'6'' imes 10'$ (≈ $5.33 ext{ m} imes 11.12 ext{ m} imes 3.05 ext{ m}$).
• 3.6 Eva Hesse – Studio (1966) – variations and relationships among hanging elements and circular motifs.
• 3.7 Robert Rauschenberg, No Wake Glut (1986) – found objects with possible circular-motion linkage; multiple readings possible.
• 3.8 Andy Goldsworthy, Sticks Stacked Around Two Rocks (1993) – contrast of thin lines vs large forms in a natural setting.
• 3.9 Easter Island Statues – rhythmic single beats in a sequence.
• 3.10 Frederic Remington, Coming through the Rye (1902) – rapid rhythmic movement.
• 3.11 Max Bill, Monoangulated Surface in Space (1959) – continuous rhythm, visual mantra.
• 3.12 Michael Singer, First Gate Ritual Series (1976) – rhythm aligned with natural water environment.
• 3.13 Beverly Pepper, Cleopatra's Wedge (1991) – symmetrical emphasis in a tall wedge.
• 3.14 Water Organ (c. 1550) – mirror-image jets emphasizing symmetry.
• 3.15 Jacques Lipchitz, Prometheus Strangling the Vulture (1944–1953) – asymmetrical balance around a central axis.
• 3.16 Mark di Suvero, Mozart's Birthday (1989) – multiple balancing points; dynamic balance.
• 3.17 Vico Magistretti, Atollo lamp (1977) – single central balance point.
• 3.18 John Storrs, Forms in Space – vertical balance with supporting outer columns; perspective-dependent balance.
• 3.19 Naum Gabo, Linear Construction No. 1 (1943) – central void as focal point; transparency.
• 3.20 Antoni Gaudí, Church of the Sagrada Familia (1903–1926) – vertical emphasis; light, airiness, upward reach.
• 3.21 Hans Coper, Ceramic Pot (1984) – minimal, restrained expression.
• 3.22 Robert Morris, Untitled (1969) – large felt form; viewer interpretation central to meaning.
• 3.23 Parthenon (Golden Section) – architectural application of the ratio.
• 3.24 Ryoan-Ji Garden, Kyoto – proportions of rocks, spacing, and raked sand generate a peaceful harmony.