Using Polyhedral Stellations for Creation of Organic Geometric Sculptures

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Vladimir Bulatov: Using Polyhedral Stellations for Creation of Organic Geometric Sculptures. In: Bridges 2009. Pages 193–198



We describe the process of making metal sculptures starting from geometric constructions based on stellation of polyhedra. Symmetry transformations and various algorithms of mesh subdivision are used to convert straight edges and planes of stellated polyhedra into smooth organic shapes.

Extended Abstract


Used References

[1] H. S. M. Coxeter, Patrick du Val, H. T. Flather, and J. F. Petrie. The Fifty-Nine Icosahedra. Springer-Verlag, 1982. Originally published by Univ. of Toronto Press, 1938.

[2] V. Bulatov. An interactive Creation of Polyhedral Stellations with Various Symmetries. Proceedings of Bridges 2001, Winfield, Kansas, 2001. pp. 201-212.

[3] V. Bulatov. Stellations Applet software.

[4] R. Webb. Great Stella software.

[5] Catmull, E., and Clark, J. Recursively generated B-spline surfaces on arbitrary topological meshes. Computer Aided Design 10, 6 (1978), pp. 350–355.

[6] Loop, C. Smooth spline surfaces over irregular meshes. In Computer Graphics Proceedings (1994), Annual Conference Series, ACM Siggraph, pp. 303–310.

[7] Henning Biermann, Adi Levin, Denis Zorin, Piecewise Smooth Subdivision Surfaces with Normal Control. Computer Graphics (SIGGRAPH 2000 Proceedings), pp. 113-120.

[8] 3D system

[9] ProMetal

[10] G. Hart, "Sculpture from Symmetrically Arranged Planar Components", Proceedings of ISAMA-Bridges 2003 Granada, Spain.

[11] Bathsheba Grossman, Sculpture


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