What is a hexahedron?
Q: What is a hexahedron?
A: A hexahedron is a polyhedron with six faces.
Q: Can a cube be considered a hexahedron?
A: Yes, a cube is an example of a regular hexahedron with all its faces being square and three squares around each vertex.
Q: How many topologically distinct convex hexahedra are there?
A: There are seven topologically distinct convex hexahedra.
Q: Is it possible for two polyhedra to be topologically distinct?
A: Yes, two polyhedra can be topologically distinct if they have different arrangements of faces and vertices that cannot be changed simply by changing the lengths of edges or the angles between edges or faces.
Q: How many mirror image forms exist for one of the seven topologically distinct convex hexahedra?
A: One of the seven topologically distinct convex hexahedra exists in two mirror image forms.
Q: Are there any topologically distinct hexahedra that can only be realised as concave figures?
A: Yes, there are three topologically distinct hexahedra that can only be realised as concave figures.
Q: Can one of the topologically distinct convex hexahedra be distorted into one of the topologically distinct concave hexahedra?
A: No, it is impossible to distort one of the topologically distinct convex hexahedra into one of the topologically distinct concave hexahedra without changing the fundamental nature of the polyhedra.
