The geometry of \(H_4\) polytopes

DOI10.1515/advgeom-2020-0005zbMath1450.52009arXiv1912.06156OpenAlexW3042377806MaRDI QIDQ2194722

Tianna Robinson, Sandernisha Claiborne, Majid Butler, Tomme Denney, Da'Shay Hooker, De'Janeke Johnson

Publication date: 7 September 2020

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06156

zbMATH Keywords

polytope600-cell\(E_8\) lattice

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)

Cites Work

• A Moonshine path for \(5A\) and associated lattices of ranks 8 and 16.
• The geometry of the Hall-Janko group as a quaternionic reflection group
• Quaternions over \(Q(\sqrt5)\), Leech's lattice and the sporadic group of Hall-Janko
• The Simple Group FH(8, 2) of Order 2¹² .3⁵ .5² .7 and the Associated Geometry of Triality
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