"Stellation of Rhombic Triacontahedron"

Mahogany, 18 inches, 2003.

The sculpture is based on the rhombic triacontahedron (RTC), which is a convex polyhedron with 30 rhombic faces. RTC has full symmetry of icosahedron. One of its stellations consists of 30 larger intersecting rhombic faces, which form continuous surface with complex topology. Replacing each rhombus with a curved planar shape makes the sculpture with rotational symmetry of icosahedron.

"Stellation of tetrakis hexahedron"

Maple and mahogany, 12 inches,2002.




Tetrakis hexahedron (TH) is dual to truncated dodecahedron. It is polyhedron with 24 identical triangular faces with total symmetry of cube. The sculpture is one of TH stellations. The symmetry of the sculpture is rotational symmetry of cube.

"Small Stellated Dodecahedron"

Walnut, oak,16 inches, 2003.

This is small stellated dodecahedron (SSD). Removing of intersections of its faces clearly shows, that it consists of 12 identical pentagrams. The shape was inspired by M.C. Escher 1952 lithograph "Gravity".

Dr. Vladimir Bulatov, Independent Artist
Corvallis, Oregon, USA

"I am a physicist, mathematician and artist. My artistic passions are mathematical images and sculptures, which express a certain vision of forms and shapes, my interpretations of a distance, transformations and space. In my opinion, mathematics is not simply a profession, but rather a way of thinking, a way of life. My images and sculptures are like photographs of interesting mathematical ideas. I have always been intrigued by the possibility of showing to non-mathematicians the intrinsic richness of the mathematics, whose charm and harmony can really be appreciated by everyone. "