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Pictures of Kaleidocycles

A kaleidocyle is a rotating ring of triangular pyramids.
Paper model hexagonal kaleidocycle hexagonal kaleidocycle


Number of faces: 24
Number of edges: 30
Number of vertices: 12

Paper model octagonal kaleidocycle Paper model octagonal kaleidocycle


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

Paper model decagonal kaleidocycle Paper model decagonal kaleidocycle


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

closed octagonal kaleidocycle snake octagonal kaleidocycle


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

closed decagonal kaleidocycle closed decagonal kaleidocycle


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

closed dodecagonal kaleidocycle closed dodecagonal kaleidocycle


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

closed dodecagonal kaleidocycle closed dodecagonal kaleidocycle


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

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


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

tetrakaidecagonal kaleidocycle tetrakaidecagonal kaleidocycle


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

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


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

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


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

open hexagonal kaleidocycle open hexagonal kaleidocycle


Number of faces: 24
Number of edges: 30
Number of vertices: 12

quarter closed hexagonal kaleidocycle 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 seven twelfths closed hexagonal kaleidocycle


Number of faces: 24
Number of edges: 30
Number of vertices: 12




Kaleidocycles:
Kaleidocycles



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