Geometric Layout Studio v3

Outer container + optimized repeated elements

Generates, scores and ranks complete layouts. v3 adds a variety engine: the results grid is now selected for visual difference rather than showing twelve copies of the same arrangement. New generators, lattice-angle search, and graduated element sizing widen the design space; exact-area density scoring, concave-boundary containment and analytic circle tests make it both correct and considerably faster.

Quick test presets

1. Outside container

Outside shape

Outside X width (in)

Outside Y height (in)

Gap to outside (in)

2. Repeated inner elements

Element shape

Element X2 width (in)

Element Y2 height (in)

Quantity

Quantity policy

Gap between elements (in)

Element orientation

Size variation

Smallest size factor

3. Second repeated inner elements

Enable second set Add second repeated element set

Element 2 shape

Element X3 width (in)

Element Y3 height (in)

Quantity 2

Quantity 2 policy

Gap between set 2 elements (in)

Set 2 gap to outside (in)

Element 2 orientation

4. Composition

Automatic recommendation

Auto selects a generator from the outer and inner shapes.

Symmetry

Generator type

Result variety

55 - balanced

Lattice angle

Density preference

Random seed

Affects randomized generators.

Candidate layouts

Results to show

Topology neighbors

Strict symmetry Reject incomplete groups

Avoid long rows Penalize straight runs

Favor negative space Reward open areas

5. Preview and export

Preview guides Outside boundary

Safe inset Safe inset boundary

Dimension overlays Dimension overlays

Export boundary

Export dimensions

Export style

Stroke width (in)

Set the geometry and click Generate optimized layouts.

No generated layouts yet.

Method. Every candidate is assembled from complete symmetry orbits. Elements are polygonised, tested against the outer boundary with a spatially indexed edge test that also catches edges crossing concave boundaries such as the heart cleft, and checked against placed neighbours with an analytic circle test where possible and polygon edge distance otherwise. Lattice generators search both translation phases and rotation angles. Density uses true polygon areas, not bounding boxes. The result grid is then chosen by score and visual difference, so twelve results mean twelve genuinely different compositions.