Paper Hexagonal Kaleidocycles
Hexagonal Kaleidocycle:
Number of faces: 24
Number of edges: 30
Number of vertices: 12
Half Closed Hexagonal Kaleidocycle:
Number of faces: 24
Number of edges: 30
Number of vertices: 12
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
Visual instructions (Hexagonal) Kaleidocycle


Cut the outer lines and score the other lines:


Fold the vertical lines forward (valley fold):


Fold the diagonal lines backwards (mountain folding):


Fold the diagonal lines backwards (mountain folding):


The folded model:


Gluing the model:



Fold the model to a circle and glue:


The completed model:

