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The regular icosahedron is connected to many exceptional objects inmathematics. Here we describe two constructions of the $\mathrm{E}_8$ latticefrom the icosahedron. One uses a subring of the quaternions called the"icosians", while the other uses du Val's work on the resolution of Kleiniansingularities. Together they link the golden ratio, the quaternions, thequintic equation, the 600-cell, and the Poincare homology 3-sphere. We leave itas a challenge to the reader to find the connection between these twoconstructions.

From the Icosahedron to E8