the.com/icosahedron

twenty triangles conspiring to fake a sphere with perfect, suspicious symmetry

means A three-dimensional solid with twenty flat triangular faces, thirty edges, and twelve vertices — one of the five Platonic solids.

from From Greek 'eikosi' (twenty) plus 'hedra' (seat, base, or face), the same '-hedron' that seats every polyhedron. The Greeks were obsessed with these shapes — Plato linked the icosahedron to water, one of his four elements — and the word came into English through Latin in the 1500s, carrying its tidy Greek arithmetic intact: literally a 'twenty-faced thing.'

face count
twenty equilateral triangles, thirty edges, twelve vertices
dice life
the classic d20 ruling tabletop fates everywhere
virus shape
many viruses pack their genome in icosahedral shells
platonic club
one of only five perfect Platonic solids
dual partner
its dual is the twelve-faced dodecahedron
for instance

platonic solids collection — one of five regular polyhedra with 20 equilateral triangle faces, studied since ancient greece

icosahedral virus structure — poliovirus and many bacteriophages have icosahedral symmetry with 20-faced protein shells

d20 die — standard 20-sided die used in dungeons and dragons since 1974

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