Term for Tetrahedron with Three Right Angles at a Point

Question

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 $x/c_1 + y/c_2 + z/c_3 = 1$.

Answer 1

According to Wolfram's Mathworld, it's called a trirectangular tetrahedron.

Answer 2

A common name is rectangular tetrahedron.

Answer 3

A right-cornered tetrahedron.

Answer 4

Any solid polytope of the form $\sum_{i = 1}^{n} \frac{x_i}{a_i} \leq 1$, where $a_i > 0$ is called a solid, orthotopal, simplicial $n$-polytope and can also be written as the convex hull $\mathbf{conv} \{ \mathbf{0}, a_1 \mathbf{e}_1, \dots, a_n \mathbf{e}_n \}$. For $n = 3$, it is called a solid trirectangular tetrahedron. If you mean the boundary complex, then simply trirectangular tetrahedron is fine.