Heron's formula in higher dimensions

DOI10.1007/s00006-023-01305-8OpenAlexW4392782779MaRDI QIDQ6122627

Timothy F. Havel

Publication date: 1 March 2024

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-023-01305-8

zbMATH Keywords

distance geometryconvex polytopestetrahedronconformal modelHeron's formula

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Length, area and volume in real or complex geometry (51M25) Elementary problems in Euclidean geometries (51M04) Quadratic spaces; Clifford algebras (11E88) Line geometries and their generalizations (51M30) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

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• Enumeration of lattice polytopes by their volume
• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• A volume formula for medial sections of simplices
• A brief account on Lagrange's algebraic identity
• Notes on Plücker's relations in geometric algebra
• The annotated Flatland: a romance of many dimensions
• 5000 Years of Geometry
• Grassmann’s legacy
• New Tools for Computational Geometry and Rejuvenation of Screw Theory
• Hermann Grassmann and the Creation of Linear Algebra
• A Royal Road to Geometry
• Combinatorial Commutative Algebra
• The Euler-Gergonne-Soddy Triangle of a Triangle
• The Heron parameters of a triangle

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