updated 12-12-2004
from the cube |
from the cube |
from the regular dodecahedron |
We may also assemble in the same manner regular pyramids on the faces of the three regular polyhedra with triangular faces.
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The pyramids to be assembled on the octahedron are quarters of a regular tetrahedron (apex of the pyramid at the tetrahedron's center); those to be assembled on the cube (animation above on the left) are sixths of a cube. |
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| And what do we get if we assemble likewise regular pyramids on the faces of a regular tetrahedron? | |||
| from the regular octahedron to the rhombic dodecahedron |
Let us think about it: two lateral faces of two adjacent pyramids are coplanar... and build a rhombus... How many rhombi?
Try to recognize this very well known polyhedron. |
from the regular icosahedron to the rhombic triacontahedron | |
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 | April 2002 updated 12-12-2004 |