Is there a name for the tetrahedron/pyramid (four vertices, four triangular faces, six edges) where three edges meet orthogonally at a point? Three of the faces are right triangles.
Another description: taking $\vec e_1,\vec e_2,\vec e_3$ as the standard basis vectors of $\mathbb{R}^3$, the vertices are $\vec 0,c_1\vec e_1,c_2\vec e_2,c_3\vec e_3$. The faces are composed of the coordinate planes with the plane $x/c_1 + y/c_2 + z/c_3 = 1$.