Journal for Geometry and Graphics 15 (2011), No. 1, 093--099
Copyright Heldermann Verlag 2011
Building a Torus with Villarceau Sections
María García Monera
Dep. de Geometria i Topologia, Universitat de València, Avd. Vicent Andrés Estellés 1, 46100 Burjassot - València, Spain
magarmo2@alumni.uv.es
Juan Monterde
Dep. de Geometria i Topologia, Universitat de València, Avd. Vicent Andrés Estellés 1, 46100 Burjassot - València, Spain
monterde@uv.es
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.
Keywords: Villarceau section, double tangential plane, sliceforms, ring torus
MSC: 51N05; 65D17
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