Flexagon

A Flexagon ( Faltvieleck ) is a folded paper polygon with certain properties; the paper is first divided into square or equilateral triangular pattern. The "play" with Flexagonen belongs primarily in the field of recreational mathematics.

Hexaflexagon ( Faltsechseck )

Which is a hexagon, which is folded from equilateral triangles.

Trihexaflexagon: It is folded from a strip on both sides with 10 triangles. Since two triangles are glued together, stay 18 triangles. Tri means here that the resulting hexagon surfaces may show in three colors (one is hidden inside each ), since a hexagon out of 6 equilateral triangles is.

Tetrahexaflexagon and Pentahexaflexagon have each 4 or 5 different areas.

Playing with the Hexahexaflexagon acts quite spectacular. However, this change must also be practiced.

Tetraflexagon ( Faltquadrat )

Examples are Tritetraflexagon and Tetratetraflexagon.

History

The discovery is attributed to the American student Arthur Harold Stone and his colleagues, who developed the idea of ​​Flexagone from 1939. The general public they were made known from the 50s by Martin Gardner.