Impossibility theorems

Article Abstract:

The use of mathematics to prove the possible, or the impossible, is discussed. Discussed as well are the mathematical constructions of geometric figures, with specific examples given.

Planning, Mathematics, Graphic methods, Mathematical analysis, Geometrical models, Mathematical foundations

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Rep-tiling the plane

Article Abstract:

A new geometric tiling method simplifies the process of creating intricate designs. How the tiles will be joined is the first determination. Then the shape of the tile will come forth.

Analysis, Generation of geometric forms, Geometry

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Spiral slime

Article Abstract:

Researchers studied the cellular slime mold, which is also known as Dictyostelium discoideum, to determine how it makes its spirals.

Research, Observations, Dictyostelium, Spirals

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