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The pieces are plastic tiles of varying shapes that snap together magnetically, allowing users to build various geometric structures. Magna-Tiles were originally developed in Japan, where they were sold under the name Pythagoras. [1] [2] American salesman Rudy M. Valenta saw the toy while visiting Japan in 1996 and bought the rights to the toy.
In geometry, a tiling is a partition of the plane (or any other geometric setting) into closed sets (called tiles), without gaps or overlaps (other than the boundaries of the tiles). [1] A tiling is considered periodic if there exist translations in two independent directions which map the tiling onto itself.
The bars with magnets at each end are 27 mm (1.1 in) long, or 68 mm (2.7 in), or 53 mm (2.1 in) and flexible, or short rigid curves. Panel shapes include two types of interlocking triangles, interlockable squares, and circle or disks. The triangles and squares identify the North-South polarity of one of their embedded magnets.
Smart materials, also called intelligent or responsive materials, [1] [page needed] are designed materials that have one or more properties that can be significantly changed in a controlled fashion by external stimuli, such as stress, moisture, electric or magnetic fields, light, temperature, pH, or chemical compounds.
Wang tiles (or Wang dominoes), first proposed by mathematician, logician, and philosopher Hao Wang in 1961, is a class of formal systems. They are modeled visually by square tiles with a color on each side. A set of such tiles is selected, and copies of the tiles are arranged side by side with matching colors, without rotating or reflecting them.
A self-tiling tile set, or setiset, of order n is a set of n shapes or pieces, usually planar, each of which can be tiled with smaller replicas of the complete set of n shapes. That is, the n shapes can be assembled in n different ways so as to create larger copies of themselves, where the increase in scale is the same in each case.
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