PARAMETRIC · 3D · STEP / STL / 3MF
Star PolyhedronSTAR POLYHEDRON
Generate the three Kepler–Poinsot star polyhedra of the dodecahedron as one solid. Download STEP, STL, 3MF.
- Shapes3 Kepler–Poinsot solids
- SolidSingle closed body
- OutputSTEP · STL · 3MF · DXF
LIVE · STAR POLYHEDRON
SSD · ⌀50
SCALE 1:1 · mm
Drag to rotate · scroll to zoom · right-drag to pan
CALCULATED · SPEC
AUTO-COMPUTED
n
12
Spikes / recesses
D
50.00mm
Circumscribed Ø
a
10.04mm
Core edge
V
17344.7mm³
Volume
A
4654.1mm²
Exposed surface
H
39.73mm
Print height
HOW-TO
How to generate a star polyhedron STEP / STL file
- 1Choose the star polyhedron.
- 2Enter the circumscribed (tip-to-tip) diameter.
- 3Check the spec cards and any warnings.
- 4Download STEP, STL or 3MF — or send it to Orinovate for a quote.
What are the star polyhedra?
The Kepler–Poinsot polyhedra are regular polyhedra with star-polygon faces or vertex figures. Three of the four are stellations of the dodecahedron: small stellated dodecahedron, great dodecahedron and great stellated dodecahedron. This tool builds the visible surface as one closed solid of 60 triangles — no booleans — ready for CAD and printing.
Geometry
All three share the 12 face planes of a dodecahedron. The 12 tips of the small stellated dodecahedron form an icosahedron and its pyramid edges are φ·a (golden ratio φ ≈ 1.618); the dents of the great dodecahedron bottom out at the dodecahedron's vertices; the 20 tips of the great stellated dodecahedron form a dodecahedron.
Specs at default parameters
| Parameter | Value | Range |
|---|---|---|
| Shape | Small stellated dodecahedron (12 spikes) | Small stellated dodecahedron (12 spikes) / Great stellated dodecahedron (20 spikes) / Great dodecahedron (20 recesses) |
| Circumscribed Ø (D) | 50 mm | 5–1000 |
| Spikes / recesses (n) | 12 | — |
| Circumscribed Ø (D) | 50.00 mm | — |
| Core edge (a) | 10.04 mm | — |
| Volume (V) | 17344.7 mm³ | — |
| Exposed surface (A) | 4654.1 mm² | — |
| Print height (H) | 39.73 mm | — |
FAQ
How are these three stars built?
All are stellations of the dodecahedron: small stellated = dodecahedron + a pentagonal pyramid on every face (12 spikes); great dodecahedron = icosahedron with a triangular dent in every face; great stellated = icosahedron + a tall triangular pyramid on every face (20 spikes). Every face lies on one of the dodecahedron's 12 planes.
How do I print all those spikes?
The model rests on a face of its convex hull, so 3 or 5 tips touch the bed. On FDM use tree supports and a brim, or blunt the tips slightly in CAD. Resin printing gives the sharpest points.
Can I use it as an ornament?
Sure — 50–80 mm makes a nice hanging ornament; add a loop or hole at one tip in CAD. The small stellated dodecahedron is a classic star-lamp shape.
Which software opens the star polyhedron STEP file?
STEP (AP214) opens in Fusion 360, SolidWorks, FreeCAD, Onshape and Rhino. STL / 3MF import directly into Bambu Studio, PrusaSlicer or Cura.
Is it free?
Yes — no sign-up, no fees. Need a physical part? Send it to Orinovate for an instant quote in FDM, SLA, SLS, MJF or CNC.
Related generators
Need a physical part?
Send the model straight to Orinovate's instant quote: FDM, SLA, SLS, MJF, metal printing and CNC, made in Hsinchu, Taiwan.
About STEP / STL / 3MF / DXF
- STEP (.step / .stp, AP214) keeps exact dimensions and surfaces for editing in Fusion 360, SolidWorks or FreeCAD.
- STL and 3MF are triangle meshes that import directly into Bambu Studio, PrusaSlicer or Cura.
- DXF is the top-view 2D outline, ready for laser cutting, waterjet or CNC routing.
- All models are in millimetres at true scale.