GrabCAD 模型信息
Parametric Regular Star Polyhedron Generator (STEP, Customizable, CNC & 3D Printing) · 模型 135266
This is a parametric regular star polyhedron model generated using an automated CAD system. Unlike fixed models, this shape is not a one-off design — it can be regenerated with different parameters. Specifications of this model: Shape: [X] (small stellated dodecahedron / great stellated dodecahedron / great dodecahedron) Core edge length: [X] mm (1–300) Outer size: 1.9 to 5.0 times the core edge length, depending on the shape Surface: 60 triangular faces, 32 vertices, 90 edges Specifications of this model: Shape: [X] (small stellated dodecahedron / great stellated dodecahedron / great dodecahedron) Core edge length: [X] mm (1–300) Outer size: 1.9 to 5.0 times the core edge length, depending on the shape Surface: 60 triangular faces, 32 vertices, 90 edges Standard: Based on the mathematical definition of the Kepler-Poinsot solids Use cases: Math and geometry teaching models Decorative objects, ornaments and lamp shades Reference solids for CAD and CAE practice 3D printing Mechanical design prototyping ⚙️ Generate your own regular star polyhedron (any parameters): https://meta-matic. com/en/3d/regular-star-polyhedron/ You can freely adjust: Shape (small stellated dodecahedron with 12 spikes, great stellated dodecahedron with 20 spikes, great dodecahedron with 20 dimples) Core edge length and instantly download a STEP file. Why this matters: Most models here are static. This system allows you to generate exactly what you need. Note: The outer shape matches the mathematical star polyhedron, but the defining self-intersecting pentagram faces cannot exist in a CAD solid, so only the visible outer surface is built. The result is a non-convex solid of 60 triangles rather than a body with 12 pentagram faces. For printing, CG and teaching models the outline is what matters, so this simplification is deliberate. The input is the edge length of the core polyhedron — the dodecahedron or icosahedron before the spikes are raised — because it is the only measurement that means the same thing in all three shapes. The overall size then comes out at roughly 1.9 x (great dodecahedron) to 5.0 x (small stellated dodecahedron) that value, so switching shapes at the same setting changes the finished size considerably. The great dodecahedron is the one shape where the core edge length also equals the mathematical edge length. Each model is checked against independently derived surface area and volume formulas and satisfies the Euler characteristic.
- 格式
- STEP / IGES、Rendering
- 分类
- Educational、Jewellery、Tools
- 标签
- step、stellated dodecahedron、star polyhedron、shape、polyhedron、parametric、mathematics、kepler-poinsot、great dodecahedron、geometry、generator、dodecahedron、decorative、customizable、3d printing
- 数据更新
- 2026-10-18T22:03:21Z
