TilingKing is a strategy game of territorial control much liike the game of Go, in which the objective is to control a larger territory on a tiled game board than your opponent.

The automata which are modeled in this application are composed of a set of spheres whose size and axis are relative to one another, and where each sphere is rolling upon the surface of one other sphere in a fully deterministic pattern.

The automata which are modeled in this application are composed of a set of spheres whose size and axis are relative to one another, and where each sphere is rolling upon the surface of one other sphere in a fully deterministic pattern.

This application is a laboratory for the creation of automata. An automaton is a system of circles moving relative to one another in a hierarchical fashion which create cruves which are a superset of epicycloids and hypocycloids.

This application demonstrates the curious relationships wherein a tetrahedron can be inscribed in a cube in two different ways and a cube can be inscribed in a dodecahedron in 5 different ways.

Visualize a 3-dimensional golden-rectangular-solid that is analagous to the 2-dimensional golden-rectangle, which can be sub-divided recursively so that each left-over rectangular solid has the same proportions as the original rectangle.

Mnemonic Curve is fundamentally a game. The object of the game is to remember and repeat a sequence of mouse-clicks within a group of circles. Mnemonic Curve demonstrates principles governing our ability to remember a sequence of choices.

Phyllotaxis is the study of the successive arrangement of radial parts of a growing plant, such as the leaves on a stem, or the seeds in the head of a sunflower. This application generates a simple phyllotaxic arrangement of circles.