This shape made of 12 regular pentagons is possibly the least often see of the platonic solids and the most difficult to construct for me personally, but awesome software like Wings3D can make it possible to see what this looks like.

Dodecahedron

A meideval / fantasy pentagonal castle complex with 5 pentagonal towers and a central pentagonal tower. A castle wall with battlements surrounds the complex, and an archway leads into the interior. The model consists of several 10,000 individually shaped and textured stones.
If you have any ideas, hints, or questions, please leave a comment, thank you!

Medieval Pentagon Castle

Cabinet

Viśuddha (Throat Chakra) is Disc #05 of the PAPP Chakra Series: a Metatron-Loka style terraced ridge sculpture generated entirely by mathematics (line-distance Gaussian ridges → weighted heightfield → seam subtraction → 14-step terracing) and sealed as a watertight closed manifold (χ=2). 

The geometry encodes the classical yantra: a full-moon circle (“white like the full moon”) containing a sky-blue downward triangle, surrounded by a 16-petal lotus (16 vowels). Extra ether motifs include a Sadāśiva pentagon and 32 crescent segments, plus space-like ripple waves and Hopf shimmer from the full PAPP 6-stage pipeline (φ-RG κ=φ⁻⁴ → CF → Pythagorean triple → S³ → Hopf → stereographic).

Mesh: 57,170 verts / 114,336 faces; Z range −0.218 → 1.690; unique colors 28,986. 

Seed [64,16,8,16], β*≈135.448, triple (18221,540,18229). 

Element: Ākāśa (Aether/Space) · Bīja: Haṃ.

Generated by PAPP Framework

Chakra 05 — Viśuddha (Throat) | PAPP

04 — Desert Shield

Superellipse convex shield — round top, pointed bottom. Girih decagonal quasicrystal with 5 pentagon directions at power 22 producing blade-sharp ridges. 3 tectonic fault scarps cut across the surface. 4 temporal RG geological strata. Decagonal MIT subharmonic offset 18° from primary Girih. Solar desert palette — sand, amber, burnt sienna. 69,092 vertices, 138,180 faces, χ=2, closed manifold. Generated by PAPP — 4 integers through Pythagorean triples and Hopf fibration S³→S².

Generated by Papp Framework.

Prototype 04/12 Desert Shield | PAPP

pentagon slinky

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