
integration - Is there formula for the volume of a hexahedron ...
Feb 11, 2015 · Is there formula for the volume of a hexahedron? Ask Question Asked 10 years, 10 months ago Modified 8 years, 5 months ago
solution verification - If seven vertices of a hexahedron lie on a ...
Mar 14, 2024 · If seven vertices of a (quadrilaterally-faced) hexahedron lie on a sphere, then so does the eighth vertex. Is it suffice to prove: If seven vertices of a (quadrilaterally-faced) …
Is the diagonal of a tilted hexahedron longer? [closed]
May 29, 2025 · 1 Yes, generally, the longest diagonal of a tilted hexahedron (like a tilted cube) will be longer than the longest diagonal of a regular hexahedron (a cube) with the same side …
Find side lengths in a hexahedron given dihedral angles
Mar 21, 2024 · Find side lengths in a hexahedron given dihedral angles Ask Question Asked 1 year, 6 months ago Modified 1 year, 5 months ago
Computing the volume of intersection between a tetrahedron and …
Sep 16, 2015 · I have a hexahedron and a tetrahedron. I know they intersect but am trying to compute the volume of the hexahedron that is in the tetrahedron. I represent both objects with …
Mapping a 3D point inside a hexahedron to a unit cube
May 4, 2017 · Let A4x8 be a hexahedron defined by 8 points in 3D homogeneous coordinates. M8x8 is a map that transforms the hexahedron to a unit cube, B4x8. If A = B . M, then M = B-1 …
Naming a polyhedron with 6 faces and 7 vertices
May 24, 2022 · As somebody who has to interpret different types of polyhedra in his research it is sometimes difficult to find a good name for a polyhedron that describes the coordination in a …
Polyhedra having equal quadrilateral faces are cubes?
While discussing with my 11 y.o. daughter about the definition of a cube as regular hexahedron, I observed that actually we can let drop the assumption that the faces are squares, and require …
Hexahedron made with similar polygons - Mathematics Stack …
May 15, 2019 · A similar 2D hexahedron can be made with a piece of my rho-quad tiling, where $\rho$ = plastic constant One goal is to find a polyhedron that sorta splits into 2 or more …
Maximal volume for given surface area of an $n$-hedron
Apr 20, 2013 · The 5-vertex optimum is a hexahedron, and is in fact dual to the triangular-based prism that I suspect might be the optimal pentahedron, which has an isoperimetric ratio of …