Forma, Vol. 21 (No. 1), pp. 19-27, 2006
Original Paper

Materializing 3D Quasi-Fuchsian Fractals

Yoshiaki Araki

Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan
E-mail address:

(Received February 27, 2005; Accepted April 12, 2005)

Keywords: 3D Quasi-Fuchian Fractals, Laser Induced Damage Image, Rapid Prototyping

Abstract. This paper reports experiments of materializing recent new discovered mathematical surfaces, 3D quasi-Fuchsian fractals. Three different models in glass, plastic, and metal are created to realize rich mathematical properties including self-similarity, 3-embeddable, simply-connected, and complicated surface consisting of infinite number of cusps. Different models can complementary provide mathematicians and anyone unprofessional better understanding of the mathematical properties of the new discovery.

[Full text] (PDF 904 KB)