Mermin's pentagram

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Mermin's pentagram
Rank2
TypeAbstractly regular
Elements
Edges5 tetrads
Vertices10
Vertex figureDyad
Related polytopes
DualComplex dipentagon
ConjugateMermin's pentagram
Convex hullPentagon
Convex corePentagon
Abstract & topological properties
Flag count20
Configuration symbol(102, 54)
Properties
SymmetryH2, order 10
ConvexNo
NatureNon-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