This is a 3D model of a Dini surface that is defined in mathematics as a surface with constant negative curvature.

Dini’s surface can be obtained similar as a helicoid, on condition that a tractrix is used instead of a straight line. It can be viewed as a variation of the pseudosphere since it can be obtained by its twisting. Like most visually interesting mathematical surfaces, this 3D model of Dini’s surface can also be used to obtain futuristic or 3D math-art models, i.e., models that do not have too much of a practical value but are visually interesting, and the modeling of which expresses imagination and creativity.


Dini 3D surface
3D CAD software used for modeling

K3DSurf (MathMod software)

Available NURBS and BREP file formats

Surface 3D models: .igs (Standardized 3D graphic exchange file format) and .3dm (Rhinoceros software native file format)

Available polygonal mesh file formats

.obj and .blend (Blender 3D graphics software native file format)

Mesh - Quads Only; Vertices: 2537; Edges: 4972; Faces: 2436; Mesh topology supports multiple subdivisions; 3D model without texture and materials


If you have a creative streak inside of you, and already use some 3D graphics software, we recommend that you download this 3D model. Try modeling some interesting sculpture using it - on the one hand, it is a highly entertaining process, and on the other hand, you will gain useful modeling practice in the above software (especially if you are beginners).


Submitted by Ceh Jan