The Extreme Projections of the Regular Simplex

DOI10.2307/2001479zbMath0685.51013OpenAlexW4247022015MaRDI QIDQ4735714

Paul Filliman

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001479

zbMATH Keywords

orthogonal projectionGale transformslargest and smallest projectionregular n- dimensional simplex

Mathematics Subject Classification ID

Length, area and volume in real or complex geometry (51M25) Polytopes and polyhedra (52Bxx)

Related Items (6)

Invariants of finite and infinite groups generated by reflections ⋮ A metrical characterization of symmetric polytopes ⋮ Shadow-boundaries of convex bodies ⋮ An extremal problem of regular simplices: the five-dimensional case ⋮ Tight frames and related geometric problems ⋮ Minimal-volume projections of cubes and totally unimodular matrices

Cites Work

• Zur besten Beleuchtung konvexer Polyeder
• Exterior algebra and projection of polytopes
• The exterior algebra \(\Lambda ^ kR^ n\) and area minimization
• The largest projections of regular polytopes
• The width and diameter of a simplex
• Linearly Stable Polytopes
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