the.com/tetrahedron

the simplest possible solid, four triangles refusing to be anything less than perfect

means A solid shape with four triangular faces, four vertices, and six edges — the simplest of the polyhedra.

from From Greek 'tetra-' (four) plus 'hedra' (seat or base), so literally 'four-seated' — a body that sits on four faces. The same '-hedron' anchors its larger cousins, the hexahedron and octahedron, all members of Euclid's family of solids.

minimum solid
Fewest faces any 3D shape can have
self-dual
Its dual is another tetrahedron
flame shape
Plato linked it to fire
strongest joint
Rigid frame engineers love for stability
every vertex
Touches all three other vertices directly
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