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Symmetry Groups (Point group — Origami)
Shapes corresponding to different point groups
D2h D2 D2d C2v C1 Cs C2 Ci ↓turn upturn down↑C2h S4
D3h D3 D3d C3v C3 C3h S6 Broken lines indicate folds.
Folding directions are the same except Ci .
Cn , Dn , Cnv , Cnh , Dnh , Dnd and S2n can be made using the same logic.
T , Td , Th , O , Oh and Ih can be made joining four C3 , four D3v , six C2v , eight C3 , eight D3v and twenty D3v cards, respectively.
Linkage of six C2v cards can also form a Td shape.
Th can be also made joining four C3 cards plus four mirror-image C3 cards.
Twine of three rings forms Th .
Twine of four rings forms O .
Twine of six rings forms I .
→ Let's make origami cane-ball!Twine of ten rings also forms I .
→ Let's make origami cane-ball!
Polyhedron
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