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.

icosahedron.gif (6312 bytes)

truncated_icosahedron.gif (7536 bytes)

icosidodecahedron.gif (6784 bytes)

truncated_dodecahedron.gif (7329 bytes)

dodecahedron.gif (6702 bytes)

arrowrightblk.GIF (88 bytes)

arrowrightblk.GIF (88 bytes)

arrowleftblk.gif (90 bytes)

arrowleftblk.gif (90 bytes)

Fig. 14a

Fig. 14b

Fig. 14c

Fig. 14d

Fig. 14e

Icosahedron

*Truncated

*Icosidodeca-

*Truncated

*Dodecahedron

icosahedron

hedron

dodecahedron

Required parts

20 triangles

240 triangles

90 triangles

140 triangles

60 triangles

30 pinges

330 pinges

120 pinges

60 squares

90 pinges

330 pinges

.
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Fig. 14 - Truncating the icosahedron and dodecahedron

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.

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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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page 11 of lesson

Exercise:  Truncating which polyhedra creates the triangle faces of the

page 13 of lesson

icosidodecahedron?  How about the pentagon faces?  Why?

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