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Pictures of Kaleidocycles

A kaleidocyle is a rotating ring of triangular pyramids.

Paper model hexagonal kaleidocycle hexagonal kaleidocycle

Hexagonal Kaleidocycle
(closed)
Number of faces: 24
Number of edges: 30
Number of vertices: 12

Paper model octagonal kaleidocycle Paper model octagonal kaleidocycle

Octagonal Kaleidocycle
Number of faces: 32
Number of edges: 40
Number of vertices: 16

Paper model decagonal kaleidocycle Paper model decagonal kaleidocycle

Decagonal Kaleidocycle
Number of faces: 40
Number of edges: 50
Number of vertices: 20




closed octagonal kaleidocycle snake octagonal kaleidocycle

Closed Octagonal Kaleidocycle
Number of faces: 32
Number of edges: 40
Number of vertices: 16

closed decagonal kaleidocycle closed decagonal kaleidocycle

Closed Decagonal Kaleidocycle
Number of faces: 40
Number of edges: 50
Number of vertices: 20

closed dodecagonal kaleidocycle closed dodecagonal kaleidocycle

Closed Dodecagonal Kaleidocycle
Number of faces: 48
Number of edges: 60
Number of vertices: 24

dodecagonal kaleidocycle dodecagonal kaleidocycle

Dodecagonal Kaleidocycle
Number of faces: 48
Number of edges: 60
Number of vertices: 24




half closed hexagonal kaleidocycle half closed hexagonal kaleidocycle

Half Closed Hexagonal Kaleidocycle
Number of faces: 24
Number of edges: 30
Number of vertices: 12

half closed octagonal kaleidocycle half closed octagonal kaleidocycle

Half Closed Octagonal Kaleidocycle
Number of faces: 32
Number of edges: 40
Number of vertices: 16

tetrakaidecagonal kaleidocycle tetrakaidecagonal kaleidocycle

Tetrakaidecagonal Kaleidocycle
Number of faces: 56
Number of edges: 70
Number of vertices: 28

closed tetrakaidecagonal kaleidocycle closed tetrakaidecagonal kaleidocycle

Closed Tetrakaidecagonal Kaleidocycle
Number of faces: 56
Number of edges: 70
Number of vertices: 28

half closed decagonal kaleidocycle half closed decagonal kaleidocycle

Half Closed Decagonal Kaleidocycle
Number of faces: 40
Number of edges: 50
Number of vertices: 20

half closed dodecagonal kaleidocycle half closed dodecagonal kaleidocycle

Half Closed Dodecagonal Kaleidocycle
Number of faces: 48
Number of edges: 60
Number of vertices: 24

half closed tetrakaidecagonal kaleidocycle half closed tetrakaidecagonal kaleidocycle

Half Closed Tetrakaidecagonal Kaleidocycle
Number of faces: 56
Number of edges: 70
Number of vertices: 28

open hexagonal kaleidocycle open hexagonal kaleidocycle

Open Hexagonal Kaleidocycle
Number of faces: 24
Number of edges: 30
Number of vertices: 12

quarter closed hexagonal kaleidocycle Invertible cube or Schatz cube

Quarter Closed Hexagonal Kaleidocycle
(Invertible cube or Schatz cube)
Number of faces: 24
Number of edges: 30
Number of vertices: 12

seven twelfths closed hexagonal kaleidocycle paper model seven twelfths closed hexagonal kaleidocycle

Seven Twelfths Closed Hexagonal Kaleidocycle
Number of faces: 24
Number of edges: 30
Number of vertices: 12





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