Polymorf - Knowhere - Archimedean symmetry

Truncating the vertices of the cuboctahedron and then adjusting the edges

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

truncated into the rhombicuboctahedron. Both have cuboctahedron symmetry.

cuboctahedron.gif (5441 bytes)

truncated_cuboctahedron.gif (7029 bytes)

rhombicuboctahedron.gif (6163 bytes)

Fig. 15a

Fig. 15b

Fig. 15c

Cuboctahedron

Truncated

Rhombicuboctahedron

cuboctahedron

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

Fig. 15 - Truncating the cuboctahedron

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Page 13 Geometry rules - Symmetry association by truncation