This is the smallest of the 12 possible tetrahedra with
vertices in the binary tetrahedral group. Its volume, 1/96, is
just more than 1/50 the volume of a hemisphere.
In this conformal image, it is shown
with vertices i,j,d,-a^2 inside the hemisphere centered
at 1. (i is on the bottom, j on top, d in front and
-a^2 in back).
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