Polymorf - Knowhere - Cubic symmetry

Multiple symmetry elements of the cube

The unique multi-panel connectability of Polymorf panels permits multiple (100),

(110), and (111) mirror and rotational planes to be shown in one model for comparison.


Fig. 5a - (100), (110), (111) cubic planes	Fig. 5b - (100), (111) cubic planes
(100) - red, (110) - yellow, (111) - green	(100) - red, (111) - green
Required parts
4 large triangles, 18 small squares	24 large triangles
4 rectangles, 11 right triangles	48 right triangles
52 pinges	66 pinges
.

Fig. 5 - Multiple cubic planes of symmetry

The total number of symmetry elements possessed by a polyhedron is a good indi-

cation of how symmetrical the structure is. The cube possesses 22 symmetry elements

in all indicating it is highly symmetrical (a rotational axis and its plane are counted

as one element). After cubic symmetry has been demonstrated, the symmetry

elements possessed by other regular and semi-regular polyhedra can be associated

with the cube for clarification. One way of doing this is by inscribing them in the cube.

Page 4 Geometry rules! - Cubic symmetry