With the applets below use the key "f" to better see the joins on the faces (magenta dashed lines).
regular hexahedron
tetrahedron
pentahedron
octahedron
The cross build by six squares, well known net of the cube, can also be folded into tens other ways to build around twenty other polyhedra; the three examples presented here lead to polyhedra with four, five, and eight faces.
| Here are the nets of these three new polyhedra.
With the applets below use the key "f" to better see the joins on the faces (magenta dashed lines). |
| ||
regular hexahedron |
tetrahedron |
pentahedron |
octahedron |
Here is the video (2'30 - 7 Mo) of these metamorphosis. You can continue your visit during the loading if your connection is slow.
| references: |
• The 85 Foldings of the Latin Cross - Poster: the 23 different results (600 Kb)
• Metamorphosis of the cube (E. & M.Demaine, A.Lubiw, J.O'Rourke, I.Pashchenko): web page & paper • When can a polygon fold to a polytope? (Anna Lubiw & Joseph O'Rourke - 1996) |
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convex polyhedra - non convex polyhedra - interesting polyhedra - related subjects | February 2006 updated 24-03-2008 |