Osaka Journal of Mathematics

The configuration space of equilateral and equiangular hexagons

Jun O'Hara

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Abstract

We study the configuration space of equilateral and equiangular spatial hexagons for any bond angle by giving explicit expressions of all the possible shapes. We show that the chair configuration is isolated, whereas the boat configuration allows one-dimensional deformations which form a circle in the configuration space.

Article information

Source
Osaka J. Math., Volume 50, Number 2 (2013), 477-489.

Dates
First available in Project Euclid: 21 June 2013

Permanent link to this document
https://projecteuclid.org/euclid.ojm/1371833496

Mathematical Reviews number (MathSciNet)
MR3080811

Zentralblatt MATH identifier
1271.65039

Subjects
Primary: 65D18: Computer graphics, image analysis, and computational geometry [See also 51N05, 68U05]
Secondary: 51E12: Generalized quadrangles, generalized polygons 55R80: Discriminantal varieties, configuration spaces

Citation

O'Hara, Jun. The configuration space of equilateral and equiangular hexagons. Osaka J. Math. 50 (2013), no. 2, 477--489. https://projecteuclid.org/euclid.ojm/1371833496


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Osaka University and Osaka City University, Departments of Mathematics

Osaka Journal of Mathematics

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