Geodesic
Volume of an n-Dimensional Polyhedron: Revisited
Journal for geometry and graphics, Tome 27 (2023) no. 1, pp. 1-9.

Voir la notice de l'article provenant de la source Heldermann Verlag

The paper presents a computational technique to determine the volume of an n-dimensional polyhedron. Initially, the volume is computed for an n-dimensional simplex which is used later to calculate the volume of an arbitrary polytope using the method of signed simplex decomposition. A recursive algorithm is used to compute the volume in n dimensions. The proposed algorithm not only calculates the volume efficiently but also avoids complex calculations in higher dimensions.
Classification : 51M04, 51M05
Mots-clés : Cayley-Menger determinant, simplex, inradius, circumradius, face angles 
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A. Bhattacharya; K. Kumar Dubey; B. Mondal . Volume of an n-Dimensional Polyhedron: Revisited. Journal for geometry and graphics, Tome 27 (2023) no. 1, pp. 1-9. http://geodesic.mathdoc.fr/item/JGG_2023_27_1_JGG_2023_27_1_a0/