Geodesic
Euclidean Realizations of Triangulated Polyhedra
Journal for geometry and graphics, Tome 23 (2019) no. 2, pp. 157-165.

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

Let $C=(d_0,\ldots,d_n)$ be an admissible degree sequence for a triangulated polyhedron $P_n$ with $n+1$ vertices. We give necessary and sufficient conditions on its Euclidean parameters (angles, lenghts, $\ldots$) for beeing realized in the usual 3D-space.
Classification : 52B05, 51N20, 52-04
Mots-clés : Polyhedron, combinatorics, triangulation, Euclidean parameters, quaternions 
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     author = {P. Honvault },
     title = {Euclidean {Realizations} of {Triangulated} {Polyhedra}},
     journal = {Journal for geometry and graphics},
     pages = {157--165},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2019},
     url = {http://geodesic.mathdoc.fr/item/JGG_2019_23_2_JGG_2019_23_2_a1/}
}
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P. Honvault . Euclidean Realizations of Triangulated Polyhedra. Journal for geometry and graphics, Tome 23 (2019) no. 2, pp. 157-165. http://geodesic.mathdoc.fr/item/JGG_2019_23_2_JGG_2019_23_2_a1/