kennethreitz
ce93f429a2
Publish the Obsidian vault's Knowledge folder as /knowledge (881 notes, 67 folders), with a Knowledge item in the nav and footer. - scripts/import_knowledge.py regenerates data/knowledge from the vault: slugged paths, folder notes as index pages, wikilinks resolved to site links (or plain text), callouts, highlights, and Dataview tables rendered statically. Personal notes are withheld via an exclusion list plus a privacy guard. - tuftecms/core/knowledge.py builds a concept index from note titles and aliases. First mentions on ordinary pages link to their Knowledge note (capped, never in headings, code, links, or sidenotes); Knowledge pages list related notes and where they're mentioned across the site; other pages get a Related Knowledge block. - Knowledge URLs join sitemap.xml (so the sweep test covers them), never displace existing legacy slugs, list alphabetically, and mermaid diagrams render client-side only on pages that have them.
2.3 KiB
description, source
| description | source |
|---|---|
| Twelve pentagons for the twelve signs — the shape God kept back for the whole. | obsidian-knowledge |
Dodecahedron
Twelve pentagons for the twelve signs — the shape God kept back for the whole.
The Form
The dodecahedron is built from twelve regular pentagons, three meeting at each of its twenty vertices. It is the odd one among the Platonic solids, the only one whose faces are pentagons rather than triangles or squares, and with the pentagon it smuggles the golden ratio into its very construction, for phi is written into the proportions of every five-sided face. This gives the dodecahedron a subtle, irrational elegance the other solids lack, a beauty that cannot be reduced to whole numbers.
It is the dual of the icosahedron, its twelve face-centers marking that solid's twelve vertices. Plato treated the dodecahedron apart from the others, writing that the god used it for the whole, arranging the constellations upon it. Later tradition read its twelve faces as the twelve signs of the zodiac, making the solid a model of the heavens themselves, the container that holds the four elemental bodies as the cosmos holds the world.
Correspondences
| Attribute | Value |
|---|---|
| Faces | 12 |
| Face shape | Regular pentagon |
| Edges | 30 |
| Vertices | 20 |
| Element | Aether / the cosmos |
| Dual | Icosahedron |
Meaning
Where the other four solids are given to the elements of the sublunary world, the dodecahedron is reserved for Aether, the fifth essence, the quintessence that pervades and transcends the material. In Alchemy the quintessence is the refined spirit distilled out of the four elements, the subtle unity behind their multiplicity, the aim of the great work. The dodecahedron thus becomes the geometry of the whole and the heavenly, the vessel of the zodiac and the emblem of that which contains all else. Its pentagonal faces, laced with the golden proportion, tie it to the Golden Ratio and to the sense that the cosmos is ordered by a beauty just beyond the reach of counting.