Spidron

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This article discusses the plane geometric figure; for the science-fiction character see Spidron (character).
A simple spidron
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A simple spidron

In geometry, a spidron is a continuous flat geometric figure composed entirely of triangles, where, for every pair of intersecting triangles, each has a leg of the other as one of its legs, and neither has any point inside the interior of the other. A deformed spidron is a not a spidron, but rather a three-dimensional figure sharing the other properties of a specific spidron, as if that spidron were drawn on paper, cut out in a single piece, and folded along a number of legs.

It was first modelled in 1979 by Dániel Erdély, as a homework presented to Ernő Rubik, for Rubik's design class, at the Hungarian University of Arts and Design (now: Moholy-Nagy University of Art and Design). Also Dániel Erdély gave the name Spidron to it, when he discovered it in the early 70s.[1]

Many spidrons are designed to correspond to deformed spidrons that are also polyhedra.

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