Assertion: icosahedron's symmetry | /r/HasProperty | described using certain quaternions
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text: The symmetries of the icosahedron can be described using certain quaternions; the integer linear combinations of these form a subring of the quaternions called the ‘icosians’, but the icosians can be reinterpreted as a lattice in 8 dimensions, and this is the E 8 \mathrm{E}_8 lattice [