Regular 3D polygonal circuits of constant torsion

T. Verhoeff; K. Verhoeff

Regular 3D polygonal circuits of constant torsion

T. Verhoeff
, K. Verhoeff

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

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Abstract

We explore a special class of regular 3D polygonal circuits, that is, of regular non-planar polygons. In these circuits, all segments (edges) have the same length, all corner angles are equal, and all torsion angles have the same (absolute) value. We also show some artwork based on these constant-torsion circuits.

Original language	English
Title of host publication	Bridges Renaissance Banff II: Mathematics, Music, Art, Architecture, Culture (Proceedings 12th Annual Bridges Conference, Banff, Alberta, Canada, July 26-29, 2009)
Pages	223-230
Publication status	Published - 2009

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title = "Regular 3D polygonal circuits of constant torsion",

abstract = "We explore a special class of regular 3D polygonal circuits, that is, of regular non-planar polygons. In these circuits, all segments (edges) have the same length, all corner angles are equal, and all torsion angles have the same (absolute) value. We also show some artwork based on these constant-torsion circuits.",

author = "T. Verhoeff and K. Verhoeff",

year = "2009",

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AU - Verhoeff, T.

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AB - We explore a special class of regular 3D polygonal circuits, that is, of regular non-planar polygons. In these circuits, all segments (edges) have the same length, all corner angles are equal, and all torsion angles have the same (absolute) value. We also show some artwork based on these constant-torsion circuits.

M3 - Conference contribution

SP - 223

EP - 230

BT - Bridges Renaissance Banff II: Mathematics, Music, Art, Architecture, Culture (Proceedings 12th Annual Bridges Conference, Banff, Alberta, Canada, July 26-29, 2009)

ER -

Regular 3D polygonal circuits of constant torsion

Abstract

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