Volume increasing isometric deformations of polyhedra
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 1, pp. 60-70
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We prove that any bounded polyhedron in 3 dimensional space can be isometrically deformed so as to enclose greater volume.
@article{ZVMMF_2010_50_1_a6,
author = {G. A. Samarin},
title = {Volume increasing isometric deformations of polyhedra},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {60--70},
publisher = {mathdoc},
volume = {50},
number = {1},
year = {2010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_1_a6/}
}
G. A. Samarin. Volume increasing isometric deformations of polyhedra. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 1, pp. 60-70. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_1_a6/