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Pictures of Kaleidocycles

A kaleidocyle is a rotating ring of triangular pyramids.

	Hexagonal Kaleidocycle (closed) Number of faces: 24 Number of edges: 30 Number of vertices: 12
	Octagonal Kaleidocycle Number of faces: 32 Number of edges: 40 Number of vertices: 16
	Decagonal Kaleidocycle Number of faces: 40 Number of edges: 50 Number of vertices: 20

	Closed Octagonal Kaleidocycle Number of faces: 32 Number of edges: 40 Number of vertices: 16
	Closed Decagonal Kaleidocycle Number of faces: 40 Number of edges: 50 Number of vertices: 20
	Closed Dodecagonal Kaleidocycle Number of faces: 48 Number of edges: 60 Number of vertices: 24
	Dodecagonal Kaleidocycle Number of faces: 48 Number of edges: 60 Number of vertices: 24
	Half Closed Hexagonal Kaleidocycle Number of faces: 24 Number of edges: 30 Number of vertices: 12
	Half Closed Octagonal Kaleidocycle Number of faces: 32 Number of edges: 40 Number of vertices: 16
	Tetrakaidecagonal Kaleidocycle Number of faces: 56 Number of edges: 70 Number of vertices: 28
	Closed Tetrakaidecagonal Kaleidocycle Number of faces: 56 Number of edges: 70 Number of vertices: 28
	Half Closed Decagonal Kaleidocycle Number of faces: 40 Number of edges: 50 Number of vertices: 20
	Half Closed Dodecagonal Kaleidocycle Number of faces: 48 Number of edges: 60 Number of vertices: 24
	Half Closed Tetrakaidecagonal Kaleidocycle Number of faces: 56 Number of edges: 70 Number of vertices: 28
	Open Hexagonal Kaleidocycle Number of faces: 24 Number of edges: 30 Number of vertices: 12
	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 Number of faces: 24 Number of edges: 30 Number of vertices: 12

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Paper Models of Polyhedra

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