Flexagons are fascinating origami-like puzzles. They're simple to create from a piece of paper by cutting, folding and pasting. Most people start with the pinch flex on a triangle hexaflexagon or square tetraflexagon. From this page, you can get to templates for a wide variety of flexagons of different shapes, new types of flexes, interesting puzzles and some theory.

For information on the Gathering For Gardner, see G4G13 or G4G10.

Triangle Flexagon Bestiary

• Tetraflexagons
• Pentaflexagons
• Hexaflexagons
• Heptaflexagons
• Octaflexagons
• Enneaflexagons
• Decaflexagons
• Dodecaflexagons

• Templates for "braids"

Quadrilateral flexagons

• Square tetraflexagons
• Kite flexagons
• Rhombus flexagons
• Trapezoid flexagons

Point flexagons

• Interleaf foldings of edge flexagons predicted by the characteristics of the corresponding point flexagon

Flexes

• Flip flex
• Pinch flex
• Pivot flex
• Pocket flex
• Pyramid shuffle flex
• Silver tetra flex
• Slot flex plus more details
• Slot-tuck flex
• Ticket flex
• Tuck flex and single flap flex
• V flex

• Flex notation
• Flex generating sequences
• Cycles and traverses

Puzzles, mazes, etc.

• Silver tetraflexagon illusion
• Pyramid flexagon maze
• Bronze hexaflexagon puzzle
• Octaflexagon puzzle
• Magic octaflexagon
• Enneaflexagon maze
• Decaflexagon puzzle
• Tridodecaflexagon puzzle

State diagrams

• 5 sided hexaflexagon - state diagram of a hexaflexagon using five different types of flexes
• 11 leaf hexaflexgon
• 12 leaf hexaflexagon
• Two pentaflexagons from different generating sequences only involving the pyramid shuffle
• 15 sided hexaflexagon - several state diagrams for 15 sided hexaflexagons made from a straight strip of paper
• Slot flex diagram - shows shape-shifting states using the slot flex and pocket flex on a 5 sided hexaflexagon
• Point flexagons contains diagrams of various flexagons

Theory and terminology

• Flex Theory paper contains:
  • flex notation, useful for describing sequences of flexes
  • pat notation, useful for describing the internal structure of a flexagon as it changes during flexes
• Notes on flexagon naming
• Tips for creating new flexagons
• Definitions
• Multi numberings for flexagons

External links