GeometriaA little room for wonder.

Two circles overlap. Their separation changes the shape of the shared region between them.

Try this: Bring the circles closer, then move them apart.

A fixed step connects points around a circle. Changing that step reveals different stars and, sometimes, separate loops.

Try this: Change the number of points before changing the connection step.

A radial study inspired by the wheel of Dharma. Spokes, rim and centre provide three ways to organise the drawing.

Try this: Change the spokes and look at the spaces between them.

A circular study inspired by the taijitu, with complementary regions and smaller forms nested within them. Its depth is an artistic variation.

Try this: Add a little 3D depth, then return it to zero and compare the flat drawing.

Nine layered triangles, four pointing one way and five the other. This is an interpretation inspired by Sri Yantra, not its exact traditional construction.

Try this: Change the depth to separate the layers and follow their edges.

A geometric interpretation of the Kabbalistic Tree of Life. Nodes and paths suggest its structure without replacing an account of the tradition.

Try this: Set motion on and follow the artistic wave along a path.

Circles share their centres on a hexagonal lattice. Each generation extends the repeating arrangement outwards.

Try this: Begin with one generation, then build the pattern a ring at a time.

Separate star polygons are arranged in rings, drawing on geometric ornament. This is not a plane tiling or a historical reconstruction.

Try this: Change Star points and compare the spaces between the stars.

Points step around a centre by a constant angle. Near the golden angle, spirals emerge in more than one direction.

Try this: Nudge the divergence angle and watch the spiral families change.

Thirteen circles and a selected connection network form a geometric interpretation. The drawing does not claim every traditional edge or a complete 78-edge graph.

Try this: Turn the form, then return to the front to compare its symmetries.

A finite patch is subdivided using the golden ratio. This drawing does not establish Penrose matching rules or an infinite aperiodic tiling.

Try this: Increase Subdivisions and follow a smaller triangle within a larger one.

Three repeating motions trace a curve through space. It can cross itself. This is distinct from Ledger’s two-dimensional 3:2 drawing.

Try this: Keep the frequencies fixed and change Relative timing. Turn the view to follow the curve.

At zero C-offset, parameters c sample the boundaries of the main cardioid and period-two bulb. C-offset shifts those samples away from these boundaries. Iterate z → z² + c from z=0; height records the iteration and escaped points are omitted.

Try this: Change Maximum iterations and compare how far the orbit samples develop.

A figure-eight immersion represents a Klein bottle in three dimensions. Its self-intersection is part of this representation.

Try this: Turn the drawing and look for the figure-eight cross-section.

Fibres of the Hopf map are projected from the unit 3-sphere. A finite window omits points near the projection pole, so some visible fibres are fragments.

Try this: Reduce Fibres to follow a strand, then turn the projection.

A sampled Lorenz trajectory, computed with a fixed-step fourth-order Runge–Kutta solver. Optional motion turns the completed drawing; it does not advance physical time.

Try this: Change Rho, then compare the shape. Some parameters settle towards a fixed point.

A closed curve winds around a ring. Coprime winding counts give a torus knot; shared factors retrace a simpler curve.

Try this: Change one winding count and follow the resulting curve.

A stylised spiral galaxy made from points. This is an illustration of structure, rather than an astronomical simulation.

Try this: Change the arm count and notice how the centre stays shared.

Two winding strands give a double helix its recognisable form. The drawing simplifies molecular structure.

Try this: Change the twist and watch the relationship between the strands.

A projection brings a four-dimensional cube into a three-dimensional view. Some apparent crossings belong to the projection.

Try this: Set it in motion and watch the inner and outer forms exchange places.

Sine and cosine displacements bend a point cloud. This is procedural art, not a curl field or a fluid simulation.

Try this: Set the drawing in motion and change Displacement strength.

A finite chaos game repeatedly moves points halfway towards a tetrahedron’s vertices. Motion rotates the cached result.

Try this: Change Chaos steps and compare how clearly the smaller gaps emerge.

A warped point cloud suggests cosmic structure. It contains no observed data or explicit cosmological filament model.

Try this: Change Spatial frequency and compare the concentration of points.

A strip returns to its starting place with a twist. The familiar single half-twist gives a Möbius strip one continuous side.

Try this: Turn the drawing to follow the strip around its edge.

An illustrative accretion disc and jets surround a dark centre. Colour and motion express the idea rather than a measured physical model.

Try this: Look along the jet, then turn to see the disc.

Several wave terms combine into an interference pattern. This is not a quantum field simulation.

Try this: Change Frequency and look for reinforcement between waves.

A custom quadratic map is extended into three dimensions. Escaping paths are omitted; some settings leave no bounded result. Chaos is not guaranteed.

Try this: Change Parameter A a little and compare the retained paths.