Files
kennethreitz ce93f429a2 Add Knowledge: the vault's reference shelf, crosslinked across the site
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.
2026-10-18 20:08:46 -04:00

2.2 KiB

description, source
description source
The first solid — the least a shape can be and still enclose a world. obsidian-knowledge

Tetrahedron

The first solid — the least a shape can be and still enclose a world.


The Form

The tetrahedron is the simplest of the Platonic solids, four equilateral triangles joined into a pyramid with a triangular base. It is the minimum: no three-dimensional figure can be built from fewer faces, fewer edges, or fewer vertices. Four points suspended in space, each connected to the other three, define both the smallest volume and the sharpest, most self-contained of the perfect bodies. It is also the only Platonic solid that is its own dual — place a point at the center of each face and connect them, and another tetrahedron appears, nested and inverted within the first.

Because of its economy and its upward-pointing apex, the tetrahedron carries a quality of ignition. Its faces are all triangles, its angles keen, its form the least rounded and most piercing of the five. Where the cube feels stable and seated, the tetrahedron feels poised to move, a shape caught in the act of becoming.

Correspondences

Attribute Value
Faces 4
Face shape Equilateral triangle
Edges 6
Vertices 4
Element Fire
Dual Itself

Meaning

Plato assigned the tetrahedron to Fire, and the choice reads as inevitable. Fire is the sharpest and most penetrating of the elements, the one that transforms rather than rests, and the tetrahedron is the sharpest and most penetrating of the solids. In Alchemy Fire is the agent of change, the heat beneath every transmutation, the will that drives the work forward. The tetrahedron thus becomes the geometry of initiative and spark, the pointed origin from which all further building proceeds. To meditate on it is to contemplate the smallest possible completeness, the seed-form that already contains the logic of every solid to come.