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A strategy game of territorial control

TilingKing Game


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.

Ключевые слова:
game, strategy, tiling, territory, control

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Visualization of the quantum polyhedra

Quantum Hulls


Visualization of the polyhedra whose vertices have repelled eachother on the surface of a sphere, until their positions have stabilized. The remaining polyhedra, with an integral number of vertices, are NOT regular polyhedra.

Ключевые слова:
game, strategy, tiling, territory, control

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Visualization of integer factorizations

Prime Integer Observatory


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.

Ключевые слова:
math, mathematics, integer, factor, factors

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Visualize of spiral arrangement of circles

Phyllotaxis


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.

Ключевые слова:
math, mathematics, phylotaxis, phyllotaxis, spiral

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A game to practice sequential memory

Mnemonic Curve


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.

Ключевые слова:
math, mathematics, memory, mnemonic, learning-curve

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Visualize 3D golden-rectangular-solid

Golden Rectangular Solid


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.

Ключевые слова:
math, mathematics, phi, golden, rectangle

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Visualize tetrahedron, cube, and dodecahedron

Cosmic Heart


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.

Ключевые слова:
math, mathematics, polygon, polyhedra, tetrahedron

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Visualize quantum hierarchical 3D cruves

Automaton Lab 3D Quantum


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.

Ключевые слова:
math, mathematics, curve, curves, atom

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Visualize hierarchical 3-dimensional curves

Automaton Lab 3D


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.

Ключевые слова:
math, mathematics, curve, curves, atom

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