This is a simple 3D model of the surface of a nautilus shell, one of the most known examples of the appearance of mathematical curves in nature.

If you were to cut this 3D surface along the symmetry plane (cutaway), the curves obtained on the cross sections would be logarithmic spirals. The nautilus shell 3D surface that is available here has been modeled using the free K3D Surf  (now MathMod) software aimed at visualizing and manipulating mathematical models in 3, 4, 5 and 6 dimensions.

 

Nautilus shell 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 and triangles; Vertices: 1513; Edges: 3274; Faces: 1762; 3D model without texture and materials; Mesh has pairs of faces that intersect each other; Mesh has naked edges.

 

Basically, if you need a quality model of the nautilus shell surface, you can easily download it here by clicking one of the links below. The surface can be easily imported into one of the types of 3D graphics software and model some interesting math art 3D model in it. This is a low-poly 3D model, so that the mesh supports multiple subdivisions.