
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. 






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 


. 
. 
. 
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. 
. 

Exercise: Truncating which
polyhedra creates the triangle faces of the 

icosidodecahedron? How about the
pentagon faces? Why? 

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Geometry rules!  Symmetry association by truncation 