Here you can download two similar 3D models called ‘Genus 3 Rind 3D shapes’.

As to the very term ‘genus’ - it is a mathematical term that, figuratively speaking, represents the number of ‘holes’ that an orientable surface has  (a sphere has genus 0 and a torus has genus 1). The real definition is a little more complex, but that is a field of mathematics that would be too expert to consider here. The 3D models were created in TopMod software, by first modeling the 3D models of Genus 3 surface, selecting specific series of faces, and applying the Rind modeling command. When models obtained like this are subdivided, the result is these two very interesting and unusual 3D models. It is simply fascinating that such seemingly complex 3D models can be obtained by following such a simple procedure.


Genus 3 rind 3D shapes
3D CAD software used for modeling


- Topmod for modeling

- Rhino 3D and T-splines plug-in for conversion to NURBS 3D surfaces

Available NURBS and BREP file formats

Surface 3D model - .igs (Initial Graphics Exchange Specification)

Available polygonal mesh file formats

.obj and .blend

Geometry: Mesh - Mesh topology supports multiple subdivisions; 3D model without texture and materials;  Mesh does not have any degenerate faces, non manifold edges, naked edges, duplicate faces...


You can use them as inspiration, try to draw them in TopMod or some other 3D graphics software, or you can use them to draw some futuristic desktop wallpaper if you like.


Download 3D model (BREP and NURBS)
Download 3D model (polygonal mesh)

Submitted by Ceh Jan