Truncating the vertices of the cuboctahedron and then adjusting the edges

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slightly so they are even yields the truncated cuboctahedron which in turn can

truncated into the rhombicuboctahedron.  Both have cuboctahedron symmetry.

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cuboctahedron.gif (5441 bytes)

truncated_cuboctahedron.gif (7029 bytes)

rhombicuboctahedron.gif (6163 bytes)

arrowrightblk.GIF (88 bytes)

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arrowrightblk.GIF (88 bytes)

Fig. 15a

Fig. 15b

Fig. 15c

Cuboctahedron

Truncated

Rhombicuboctahedron

cuboctahedron

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Required parts

8 triangles

48 large triangles

8 triangles

6 squares

18 large squares

18 squares

24 pinges

24 rectangles

48 pinges

24 right triangles

192 pinges

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.

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Fig. 15 - Truncating the cuboctahedron

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