3D model · 12 faces · 10 mm circumsphere
Twelve regular pentagons, meeting three at each of twenty vertices, dual to the icosahedron. Of the five solids it fills the most of its own circumsphere.
Instant download · Personal-use license · What is in the files · Open it in the Simulator
Drag to turn
Twelve regular pentagons, meeting three at each of twenty vertices, dual to the icosahedron. Of the five solids it fills the most of its own circumsphere.
No crystal grows in this shape, and no crystal can. A regular pentagon has fivefold symmetry, and no repeating crystal lattice allows it. People often mistake two minerals for it, but they are different. The pyritohedron of pyrite has twelve pentagonal faces, but they are irregular. The rhombic dodecahedron of garnet has twelve faces that are rhombi.
Taken from the delivered model. We check it against its mesh every time we build this page.
Six formats. STEP is the exact solid for CAD, and 3DM is for Rhino. STL and OBJ are meshes. FBX is for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal. GLB is for the web and AR. All are in millimeters at real-world scale, with 12 flat faces.
No. We sell the Platonic solids as 3D models only, with no faceting design, tier table or diagram.
Resting on a face, it measures 9.822 x 9.342 x 7.947 mm. Every vertex is on a sphere 10 mm across. All five Platonic solids share that sphere, so they nest and sit together at true relative size. You can scale it uniformly to any size: for a 10 mm edge, scale by 2.8025.
Y up, with one face resting on the ground plane and the centroid on the Y axis. The midpoint of one edge of the resting face lies on the +X axis. This keeps the cube square to the axes.
Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact solid in CAD.
The dodecahedron as exact geometry: 12 flat faces, real-world scale, ready for CAD, rendering, printing and casting. We sell the Platonic solids as 3D files only.
Save with a bundle: the dodecahedron 3D files are also in Platonic Solids Set, 5 solids for €7.49 until 1 December, then €9.99 (€19.95 as single files). Buy the bundle.
Not sure the files open in your software? Get the cube free: the same six formats, for your email address, used only to send them (privacy).
Questions before you buy? Email us.