Equivelar octahedron of genus 3 in 3-space
Building up a toroidal polyhedron of genus 3, consisting of 8 nine-sided faces, is given. From the point of view of topology, a polyhedron can be considered as an embedding of a cubic graph with 24 vertices and 36 edges in a surface of genus 3. This polyhedron is a contender for the maximal genus among octahedrons in 3-space.
1962 ◽
Vol 14
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pp. 169-257
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1984 ◽
Vol 75
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pp. 331-337
1983 ◽
Vol 41
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pp. 174-177
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1982 ◽
Vol 40
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pp. 600-603
1978 ◽
Vol 36
(2)
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pp. 412-413
1978 ◽
Vol 36
(1)
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pp. 484-485
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1984 ◽
Vol 42
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pp. 70-73
1972 ◽
Vol 30
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pp. 80-81
1991 ◽
Vol 49
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pp. 452-453
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1986 ◽
Vol 44
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pp. 396-397