Poly-Twistor by 3D printer: Classification of 3D Tori

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Reference

Akio Hizume, Yoshikazu Yamagishi and Shoji Yotsutani: Poly-Twistor by 3D printer: Classification of 3D Tori. In: Bridges 2013. Pages 555–558

DOI

Abstract

Using 3D printing, we can manufacture forms called Poly-Twistors. These are knotted closed loops around the surface of either a torus or a polyhedron. Variants have handedness and can be parameterized using different integer winding frequencies.

Extended Abstract

Bibtex

Used References

[1] Akio Hizume, Hexa-Twistor, MANIFOLD #01, pp. 10-12, 2000. (in Japanese)

[2] Akio Hizume, Poly-Twistor, MANIFOLD #04, pp. 8-9, 2002. (in Japanese)

[3] Akio Hizume, Poly-Twistor, ISAMA Proceedings, 2002. (This paper was reprinted on “inter-native architecture OF music” , Star Cage Publishing, pp. 199-204, 2006.)

[4] Akio Hizume, Hexa-twistor Trianglar Section, MANIFOLD #05, 2002.

[5] Akio Hizume, Real Model of the POLY-TWISTOR Triangular-Section, MANIFOLD #06, 2003.

[6] Akio Hizume, Hexa-twistor Trianglar Section, 6th Bridges Proceedings, 2003.

[7] Akio Hizume, Yoshikazu Yamagishi and Shoji Yotsutani, Poly-Twistor for Rapidprototyping, MANIFOLD #22, pp. 5-10, 2012. (in Japanese)


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Full Text

http://archive.bridgesmathart.org/2013/bridges2013-555.pdf

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http://archive.bridgesmathart.org/2013/bridges2013-555.html