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  1. Polyhedra with constant curvature
    1. Orientable, g≧5(g=6), 6g
    2. Orientable, g≧2, 8g
    3. Orientable, 4≦g≦6(g=5), 7g-7
    4. Orientable, g=2, 9 (Torus)
    5. Orientable, g=1, 6 (Immersed Torus)
    6. Not Orientable, g=2, 9
    7. Not Orientable, g=3, 18
    8. Not Orientable, g=4, 24
    9. Not orientable, 5≦g≦11(g=5), 5g

Polyhedra with constant curvature

Egilea:久川
Gaia:Geometria
There are polyhedra with constant curvature. The title means "Orientable or Not orientable", "Genus", "Number of Vertex".

  • Orientable, g≧5(g=6), 6g

  • Orientable, g≧2, 8g

  • Orientable, 4≦g≦6(g=5), 7g-7

  • Orientable, g=2, 9 (Torus)

  • Orientable, g=1, 6 (Immersed Torus)

  • Not Orientable, g=2, 9

  • Not Orientable, g=3, 18

  • Not Orientable, g=4, 24

  • Not orientable, 5≦g≦11(g=5), 5g

Hurrengoa
Orientable, g≧5(g=6), 6g

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