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Truncating the vertices of the icosahedron and dodecahedron generates three |
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more
Archimedean solids that are symmetrically identical to them: the truncated |
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icosahedron,
the truncated dodecahedron, and the icosidodecahedron. |
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Fig. 14a |
Fig. 14b |
Fig. 14c |
Fig. 14d |
Fig. 14e |
Icosahedron |
*Truncated |
*Icosidodeca- |
*Truncated |
*Dodecahedron |
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icosahedron |
hedron |
dodecahedron |
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Required
parts |
20 triangles |
240 triangles |
90 triangles |
140 triangles |
60 triangles |
30 pinges |
330 pinges |
120 pinges |
60 squares |
90 pinges |
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330 pinges |
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Fig. 14 -
Truncating the icosahedron and dodecahedron |
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Note: As noted before squares
and/or triangles are used to construct the |
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pentagon,
decagon, and dodecagon faces of some polyhedra to show |
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symmetrically
identical models of them, not their classical appearance. |
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Exercise: Truncating which
polyhedra creates the triangle faces of the |
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icosidodecahedron? How about the
pentagon faces? Why? |
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Page 12
Geometry rules! - Symmetry association by truncation |