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International Journal of Interdisciplinary Research

Table 1 Classes of shape symmetry. Modified from (Dubrovin et al., 1984) and (Chaouch & Verroust-Blondet, 2009)

From: Support structure tomography using per-pixel signed shadow casting in human manikin 3D printing

Code

Notes

Examples

GD

Multiple mirror planes pass through a fixed axis with one mirror plane perpendicular to the axis (dihedral symmetry)

Hourglasses, prisms, cylinders, spheres

GC

Multiple mirror planes pass through a fixed axis (cyclic symmetry)

Cones, tables

GR

Five platonic solids (rotational symmetry)

tetrahedron, cube, octahedron, dodecahedron, and icosahedron

GU

Only one plane reflection exists (unique symmetry). Usually found in human-man objects

Airplanes, animals, A- or T-posed manikin full body with 1:10 scale or more

GZ

No plane reflection symmetry exists (zero symmetry)

Plants, trees, asymmetrically posed manikins with 1:10 scale or more