Truncating the vertices of the icosahedron and dodecahedron generates three


more Archimedean solids that are symmetrically identical to them: the truncated


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









Required parts

20 triangles

240 triangles

90 triangles

140 triangles

60 triangles

30 pinges

330 pinges

120 pinges

60 squares

90 pinges

330 pinges

. .

Fig. 14 - Truncating the icosahedron and dodecahedron




Note:   As noted before squares and/or triangles are used to construct the


pentagon, decagon, and dodecagon faces of some polyhedra to show


symmetrically identical models of them, not their classical appearance.


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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