Today, I learnt a new concept.

flexagon : (noun)

a folded paper figure that can be flexed along its folds to expose various arrangements of its faces

or

a flat model consisting of a single pliable strip of paper which can be folded and flexed in various ways to expose different hidden faces

or

a three-dimensional figure having polygonal faces that is constructed from a folded sheet of paper in such a way that different faces are exposed when the figure is flexed along its folds.

In geometry, flexagons are flat models, usually constructed by folding strips of paper, that can be flexed or folded in certain ways to reveal faces besides the two that were originally on the back and front.

Flexagons are usually square or rectangular (tetraflexagons) or hexagonal (hexaflexagons). A prefix can be added to the name to indicate the number of faces that the model can display, including the two faces (back and front) that are visible before flexing. For example, a hexaflexagon with a total of six faces is called a hexahexaflexagon.

In hexaflexagon theory (that is, concerning flexagons with six sides), flexagons are usually defined in terms of pats.

Two flexagons are equivalent if one can be transformed to the other by a series of pinches and rotations. Flexagon equivalence is an equivalence relation.

]]>Hmmmm, interesting. Recreational mathematics has always been a side hobby of mine.

Recreational maths is always fun.

]]>Equation for finding number of individual polygons on a strip for a flexagon that has a certain amount of faces and a number of polygons in each face:

`f*n`

Where f is the number of faces and n is the number of polygons on each face.

More info: https://en.wikipedia.org/wiki/Flexagon

More flexagons: http://loki3.com/flex/

Flex theory: https://www.gathering4gardner.org/g4g10 … Theory.pdf