The only irreducible spherical simplexes generated by reflection are 
(
), 
(
), 
(
), 
(
, 
, 
, 
, 
, 
, and 
. The only irreducible Euclidean simplexes generated by reflection
are 
,
(
),
(
),
(
),
(
),
,
,
,
,
and 
.
Spherical Simplex
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Cite this as:
Weisstein, Eric W. "Spherical Simplex." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SphericalSimplex.html