Editing Flexagon (section)

=== Tetraflexagons ===

==== Tritetraflexagon ====
[[File:Tritetraflexagon-net.PNG|thumb|alt=Diagram for folding a tritetraflexagon|A tritetraflexagon can be folded from a strip of paper as shown.]]
[[File:Tritetraflexagon-flexing.PNG|thumb|alt=Sides of a tritetraflexagon|This figure has two faces visible, built of squares marked with ''A''s and ''B''s. The face of ''C''s is hidden inside the flexagon.]]

The tritetraflexagon is the simplest tetraflexagon (flexagon with [[square (geometry)|square]] sides). The "tri" in the name means it has three faces, two of which are visible at any given time if the flexagon is pressed flat. The construction of the tritetraflexagon is similar to the mechanism used in the traditional [[Jacob's ladder (toy)|Jacob's Ladder]] children's toy, in [[Rubik's Magic]] and in the magic wallet trick or the [[Richard Himber|Himber]] wallet.

The tritetraflexagon has two dead ends, where you cannot flex forward. To get to another face you must either flex backwards or flip the flexagon over.
[[File:Tritetraflexagon traverse.svg|thumb|Tritetraflexagon traverse|221x221px]]

==== Hexatetraflexagon ====
A more complicated cyclic hexatetraflexagon requires no gluing. A cyclic hexatetraflexagon does not have any "dead ends", but the person making it can keep folding it until they reach the starting position. If the sides are colored in the process, the states can be seen more clearly.
[[File:Hexatetraflexagon traverse.svg|thumb|221x221px|Hexatetraflexagon traverse]]
Contrary to the tritetraflexagon, the hexatetraflexagon has no dead ends, and does not ever need to be flexed backwards.