EMERGENT SPIRALS: GENERATIVE DRAWING THROUGH ITERATIVE MARK SYSTEMS

Harmeet Singh Artist /Researcher, Studio Irises

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Abstract

This paper examines drawing as a generative system in which spiral structures emerge through the iterative repetition of a minimal gestural unit. Rather than constructing spirals in advance, the drawings develop incrementally as each mark responds to local conditions established by preceding marks.

Through a series of watercolor drawings, the study demonstrates that manual mark-making can operate as a materially responsive system in which variation, accumulation, and feedback produce emergent form. While the resulting structures resonate with spiral formations found in natural systems, they are not representational but procedural analogues of iterative growth.

By positioning drawing between gesture, system, and material behaviour, the paper proposes that studio practice can function as a method for investigating emergent spatial organisation through embodied, rule-based processes.

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Introduction

Drawing has historically been understood as either representation or preparatory notation. Contemporary practices, however, increasingly treat drawing as a procedural field in which form arises through the repeated application of simple rules. Within this shift, the drawing surface becomes a site of development rather than composition.

The project Emergent Spirals originates from a studio experiment involving the repeated placement of a short vertical brushstroke. Rather than depicting a spiral directly, curved trajectories arise incrementally as each mark responds to the directional tendencies established by preceding marks.

This paper proposes that drawing can function as a generative system in which spatial organisation develops through local interactions between discrete gestures. In doing so, it situates drawing in dialogue with movement-based accounts of line (Ingold, 2007), pedagogical models of growth (Klee, 1953), and rule-based procedures in conceptual art (LeWitt, 1967), while emphasising the role of material behaviour in shaping the outcome.

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Studio Practice: Painting as Research

This research originates in studio practice rather than a pre-established theoretical framework, aligning with approaches to artistic research in which knowledge emerges through the interaction between material processes and reflection (Borgdorff, 2012).

The drawings develop through sustained iterative mark-making carried out at Studio Irises, Chandigarh. Early iterations produced loose arcs; continued repetition allowed these to organise into coherent spiral trajectories and, eventually, complex systems.

Material conditions play a central role. Variations in paper weight (300, 450, 650 gsm) produce distinct responses to pigment and moisture. Heavier papers retain sharper edges, while lighter surfaces allow diffusion, altering how marks interact.

Environmental factors further influence the system. Seasonal shifts in humidity and temperature affect drying time, pigment behaviour, and gesture. Low humidity produces sharper, more defined trajectories; higher humidity softens alignment, generating broader, less stable formations.

These variables are not incidental but actively shape how local interactions accumulate into larger structures. Material and environmental variability therefore function as integral components of the system, introducing controlled instability that allows the drawing to remain responsive rather than fixed.

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Research Questions

This investigation is guided by two questions:

1. How can complex spatial organisation arise from the repeated application of a minimal gestural unit without prior compositional planning?

2. Can a drawing function not as representation, but as a record of a generative process unfolding over time?

Methodology

Each drawing is generated through the repeated application of a simple gestural unit—a short watercolor brushstroke. The procedure is governed by a minimal rule: each mark is placed in relation to the directional tendencies established by neighbouring marks.

More precisely, each mark is positioned according to two local parameters:
(1) alignment — the orientation of neighbouring marks within a limited visual radius
(2) proximity — the spacing between adjacent marks

These parameters operate without reference to a global compositional plan. Structure emerges through cumulative local adjustments, allowing spiral organisation to develop incrementally.

The system operates through three interdependent principles:

• Repetition — a consistent gestural unit is applied iteratively

• Directional adjustment — each mark responds to local alignment

• Local interaction — marks respond only to neighbouring conditions

Through this framework, the drawing functions as a distributed system in which global form arises from local decisions.

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Emergence of Spiral Structures

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Spiral structures frequently appear in systems characterised by iterative growth under local constraints. In such systems, global organisation arises through the accumulation of small interactions rather than central control (Strogatz, 2003).

The drawing process develops through observable stages:

1. Initial gesture — isolated marks establish the basic unit

2. Arc formation — local alignment produces curved clusters

3. Spiral emergence — arcs connect into directional trajectories

4. System expansion — the structure extends through continued accumulation

The spiral is not drawn as a continuous line but emerges through the progressive alignment of discrete marks, as illustrated in Figure 1.

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The Drawing Surface as Dynamic Field

As the drawings develop, the surface operates as a dynamic field structured by the accumulation of marks. Each gesture alters local conditions, influencing subsequent placement.

The drawing becomes a distributed system in which:

• marks generate directional tendencies

• alignments influence further placement

• spatial organisation evolves through iteration

This reflects a shift from composition to field formation.

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Case Studies: Spiral System Drawings

The series functions as a sequence of experiments examining how spiral structures emerge under varying conditions.

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Spiral System I: Initial Formation

A coherent spiral emerges through local alignment. Variations in spacing produce rhythmic density, while a central axis stabilises direction.

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Spiral System II: Circular Expansion

The system produces a ring-like structure. Peripheral organisation and a central void define the spatial condition

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Spiral System III: Chromatic Modulation

Colour operates as a structural variable, reinforcing directional flow and altering perceptual hierarchy.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Spiral System IV: Density and Compression

Increased density produces structural cohesion. Discrete marks merge into a continuous band.

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Spiral System V: Radial Fragmentation

The spiral destabilises as outward dispersion competes with rotational coherence.

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Spiral System VI–VIII: Stabilisation

The system approaches regularity while retaining variation, maintaining responsiveness.

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Spiral System IX–XI: Structural Variations

Changes in colour, scale, and composition expand the range of possible outcomes without altering the underlying rule.

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Observations

Across the series, three key behaviours emerge:

• Emergent complexity — simple rules generate complex structures

• Temporal accumulation — form develops sequentially over time

• Hybrid authorship — outcomes arise through interaction between rule and material

Variations in Spiral Behaviour

Three primary structural modes can be identified:

1. Circular accumulation — rotational balance without directional trajectory

2. Directional spiral growth — continuous outward flow

3. Fragmented fields — dispersed clusters without a dominant structure

These modes demonstrate that the system produces a range of organisational states rather than a fixed outcome.

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Positioning

This work situates drawing between rule-based systems and process-oriented practices. The governing rule provides structure, but its execution is enacted through gesture and material interaction rather than algorithmic control.

 

Final Theoretical Statement

What distinguishes this study is not the use of a rule, but the conditions under which that rule is enacted. Unlike computational systems, where execution is exact, the present work operates through continuous negotiation between rule, gesture, and material behaviour.

This introduces variability not as deviation, but as a generative condition in itself—one through which structure is continuously negotiated rather than predetermined. In doing so, the work positions drawing not only as a medium of representation, but as a system through which the dynamics of emergence can be materially tested and made visible.

 

Conclusion

This study has demonstrated how spiral structures can emerge through iterative mark-making without prior compositional planning. Drawing operates here as a generative system in which global organisation arises from local interaction.

By framing manual mark-making as embodied computation, the work extends generative art discourse beyond computational frameworks into materially grounded practice. The drawings function as experimental models through which processes of emergence, variation, and self-organisation can be investigated.