Geodesic
The reconstruction of Platonic solid from its rib
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 34, Tome 478 (2019), pp. 194-201

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the problem of reconstruction of Platonic solid with integer coordinates of vertices when its edge (or the diagonal of the cube) is given. We find the necessary and sufficient conditions of existence of such polyhedrons as well as the algorithm of construction and the number of solutions. 
@article{ZNSL_2019_478_a8,
     author = {B. B. Lur'e},
     title = {The reconstruction of {Platonic} solid from its rib},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {194--201},
     publisher = {mathdoc},
     volume = {478},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_478_a8/}
}
TY  - JOUR
AU  - B. B. Lur'e
TI  - The reconstruction of Platonic solid from its rib
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2019
SP  - 194
EP  - 201
VL  - 478
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2019_478_a8/
LA  - ru
ID  - ZNSL_2019_478_a8
ER  - 
%0 Journal Article
%A B. B. Lur'e
%T The reconstruction of Platonic solid from its rib
%J Zapiski Nauchnykh Seminarov POMI
%D 2019
%P 194-201
%V 478
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2019_478_a8/
%G ru
%F ZNSL_2019_478_a8
B. B. Lur'e. The reconstruction of Platonic solid from its rib. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 34, Tome 478 (2019), pp. 194-201. http://geodesic.mathdoc.fr/item/ZNSL_2019_478_a8/