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Trirectangular tetrahedron information


A trirectangular tetrahedron can be constructed by a coordinate octant and a plane crossing all 3 axes away from the origin, like:
x>0
y>0
z>0
and x/a+y/b+z/c<1

In geometry, a trirectangular tetrahedron is a tetrahedron where all three face angles at one vertex are right angles. That vertex is called the right angle of the trirectangular tetrahedron and the face opposite it is called the base. The three edges that meet at the right angle are called the legs and the perpendicular from the right angle to the base is called the altitude of the tetrahedron.

Only the bifurcating graph of the Affine Coxeter group has a Trirectangular tetrahedron fundamental domain.

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Trirectangular tetrahedron

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