three identical pyramids build a cube
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four regular pyramids and a regular tetrahedron build a cube |
see also the decomposition of the cube into six Schläflis' birectangular tetrahedra
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rhombic dodecahedron: cube augmented with six pyramids
the six pyramids fill exactly the cube (the ratio of the volumes is exactly 2) |
regular dodecahedron: cube augmented with six "roofs"
the hole in the cube is a curious dodecahedron (the ratio of the volumes is about 1.927) | ||||||
These two objets are not very difficult to carry out. Here are technical data useful to build them:
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Be patient during the initialization! (reload the page if an animation doesn't start)
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convex polyhedra - non convex polyhedra - interesting polyhedra - related subjects | February 2000 updated 18-01-2009 |