Building a Torus with Villarceau Sections
Journal for geometry and graphics, Tome 15 (2011) no. 1, pp. 93-99
Cet article a éte moissonné depuis la source Heldermann Verlag
A new method to build a ring torus is given using only pieces obtained by Villarceau sections. These pieces have the interesting characteristic that all of them are congruent, so we can build a ring torus using an even number of copies of a unique piece. A template of the moon-shaped piece is given.
Classification :
51N05, 65D17
Mots-clés : Villarceau section, double tangential plane, sliceforms, ring torus
Mots-clés : Villarceau section, double tangential plane, sliceforms, ring torus
@article{JGG_2011_15_1_JGG_2011_15_1_a6,
author = {M. G. Monera and J. Monterde },
title = {Building a {Torus} with {Villarceau} {Sections}},
journal = {Journal for geometry and graphics},
pages = {93--99},
year = {2011},
volume = {15},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JGG_2011_15_1_JGG_2011_15_1_a6/}
}
M. G. Monera; J. Monterde . Building a Torus with Villarceau Sections. Journal for geometry and graphics, Tome 15 (2011) no. 1, pp. 93-99. http://geodesic.mathdoc.fr/item/JGG_2011_15_1_JGG_2011_15_1_a6/