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| Title | Rhombic Triacontahedron IV, by Vladimir Bulatov |
| Artist | Bulatov, Vladimir |
| Description | The sculpture is based on rhombic triacontahedron (RTC), which is a convex polyhedron with 30 rhombic faces. It has full symmetry of an icosahedron. One of the stellations of RTC consists of 30 intersecting rhombic faces. Each of the 30 rhombi in that stellation is replaced with a modified loxodrome. A Standard Loxodrome is the trace of a plane, which is flying around the globe with constant rhumb-angle between the meridian and the direction of travel. It looks like a logarithmic spiral near the south and north poles – the fixed points of the loxodrome. Our loxodrome was made from the standard one by a conformal transformation of the sphere to shift the fixed points to the vertices of RTC and by bending in the middle to avoid intersections of different loxodromes. |
| Medium | Steel and bronze, 4" diameter |
| About the Artist | My artistic passions are purely mathematical images and sculptures, which express a certain vision of forms and shapes, my interpretations of 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 the intrinsic richness of the mathematical world, whose charm and harmony can really be appreciated by everyone. The process of making my sculptures starts from mathematical idea. I build a computer model to represent this mathematical idea in the 3D world. To make the metal sculpture, the model is saved in 3D file format as hundreds of thousands of tiny triangles representing the surface of the object and sent to a 3D printing device, which composes the piece from stainless steel powder and infiltrates it with molten bronze. Final sculptures are hand polished and burnished with steel shot. |
| Date | DateofExhibition:March3-30,2009 |
| Contributors | Van Wagoner, Kathryn, exhibit curator; |
| Subject | Metal sculpture; Geometry in art; |
| Type | Image;Stillimage |
| Format | image/jpg |
| Relation (isPartOf) | Infinite Beauty: An Art Exhibit Inspired by Mathematics. Held March 3 - 30, 2009 Utah Valley University Library |
| Rights | All rights held by artist. |
| Publisher | Published digitally by Utah Valley University Library |
| Identifier | Rhombic Triacontahedron IV |
