4D Polytope Pack: 15 Four-Dimensional Shapes

Shapes
15: six regular convex, two regular star and seven uniform polychora
Renders
4000 × 4000 px neon on black (JPEG) and black ink on transparent (PNG)
Wallpapers
Phone 1290 × 2796 px and 4K desktop 3840 × 2160 px
Vectors
SVG with graded stroke weights and DXF centerlines, 8 layers each
3D models
GLB and OBJ tube meshes (display models, not print-tuned)
Made with
The 4D Polytope Engine for Blender
License
Use in products you make and sell; no reselling the files
Delivery
One .zip (about 150 MB), emailed right after purchase

$15.00

Instant download by email · 120 files · commercial-use license.

Instant delivery · non-refundable once delivered

Fifteen shapes from the fourth dimension

Four-dimensional polytopes, the 4D cousins of the cube and the dodecahedron, projected into 3D and rendered as glowing tube structures. The tubes are thin at the centre and thick at the outside, so each shape reads as nested cells in depth rather than a tangle of lines.

The shapes

  • Regular convex: 5-cell, tesseract, 16-cell, 24-cell, 120-cell and 600-cell: the six 4D counterparts of the Platonic solids
  • Regular star: the great grand stellated 120-cell and the grand 600-cell, spiky 4D relatives of the Kepler–Poinsot star polyhedra
  • Uniform: the rectified, truncated and runcinated tesseracts, the bitruncated 24-cell, the snub 24-cell, the grand antiprism (found only in 1965) and the rectified 120-cell

Every shape in every format

Neon renders4000 × 4000 px on black, for prints, posters and covers
Ink renders4000 × 4000 px black on a transparent background, for light designs and shirts
Phone wallpapers1290 × 2796 px, fits current iPhone and Android screens
Desktop wallpapers3840 × 2160 px (4K), scales to any 16:9 screen
SVG + DXFEdge centerlines in 8 layers. The SVG strokes are graded like the tubes; the DXF suits laser, CNC and pen-plotter software
GLB + OBJ3D tube models for Blender, Cinema 4D, Unity, Unreal, three.js and AR viewers

120 files in one download, with a README listing every shape's vertices, edges and cells. The license covers products you make and sell; the files themselves may not be resold or shared.

Every file was made with the 4D Polytope Engine, our Blender add-on. Use it to rotate these shapes through the fourth dimension, animate them, or render any of the 70 curated polytopes in its library.

Common Questions

What's included?

15 four-dimensional polytopes, each as a 4000 × 4000 px neon render, a 4000 × 4000 px transparent ink PNG, a phone wallpaper (1290 × 2796 px), a 4K desktop wallpaper (3840 × 2160 px), an SVG and a DXF vector, and GLB and OBJ 3D models. 120 files in one zip (about 150 MB), with a README listing every shape's vertices, edges and cells.

Which shapes are in the pack?

The six regular convex polychora (5-cell, tesseract, 16-cell, 24-cell, 120-cell, 600-cell); two regular star polychora (the great grand stellated 120-cell and the grand 600-cell); and seven notable uniform polychora: the rectified, truncated and runcinated tesseracts, the bitruncated 24-cell, the snub 24-cell, the grand antiprism and the rectified 120-cell.

How do you show a 4D shape in 3D?

Each polytope is projected from four dimensions into three, the way a 3D object casts a 2D shadow. Most use a cell-first perspective projection (a Schlegel view: one cell faces the viewer and the rest nest inside it); the grand antiprism uses a stereographic projection, which curves its edges. The tubes are thin at the centre and thick at the outside, so you can read the depth.

Can I use the designs commercially?

Yes. Use them in personal projects and in products you make and sell: prints, apparel, stickers, album art, video, games and client work. You may not resell or share the files themselves, alone or inside another asset pack, template or bundle.

Can I 3D print the models?

The GLB and OBJ files are display models for rendering, games, AR and animation; their tube sizes are set for how they look, not tuned for printing. The SVG and DXF files work with laser, CNC and pen-plotter software.

How were they made?

With the 4D Polytope Engine, our Blender add-on: each shape is rotated in four dimensions, projected into 3D, built as tubes and rendered. Nothing is drawn by hand or generated by an AI image model, so every edge is where the geometry puts it.

How do I receive the files?

A secure download link is emailed right after purchase. It stays valid for 72 hours; if it expires before you download, email us and we will send a fresh one.

Digital download only · No physical items shipped · Files delivered by email immediately after purchase