Mermin's pentagram
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Mermin's pentagram | |
---|---|
Rank | 2 |
Type | Abstractly regular |
Elements | |
Edges | 5 tetrads |
Vertices | 10 |
Vertex figure | Dyad |
Related polytopes | |
Dual | Complex dipentagon |
Conjugate | Mermin's pentagram |
Convex hull | Pentagon |
Convex core | Pentagon |
Abstract & topological properties | |
Flag count | 20 |
Configuration symbol | (102, 54) |
Properties | |
Symmetry | H2, order 10 |
Convex | No |
Nature | Non-dyadic |
Mermin's pentagram (also Mermin's magic pentagram or simply the magic pentagram) is an non-dyadic polygonoid and configuration. It is regular under its automorphism group and, if conjugacies are considered in its symmetry, it has a regular realization in Euclidean space.
Vertex coordinates[edit | edit source]
It's vertex coordinates are the same as those of the star pentambus.
Bibliography[edit | edit source]
- Planat, Michel; Saniga, Metod; Holweck, Frédéric (2012), Distinguished three-qubit 'magicity' via automorphisms of the split Cayley hexagon, arXiv:1212.2729
- Saniga, Metod; Lévay (2012), "Mermin's pentagram as an ovoid of PG(3, 2)", EPL, arXiv:1111.5923
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