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This application illustrates the notion of an integer’s factors, and of the related property of integers called primeness, or primality. An integer is called prime if it is the product of only one distinct pair of integers.

Advanced math, finances, currencies, stats, combinative, dates, curves, series, units and calendars conversions, astronomy, geometry, pi, chemistry, electricity. Divx Calculator. Games on gravitation, billiards...

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.

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.

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.