Assertion: tetrahedron | /r/HasProperty | self-dual
Facets:
value: to the first
type: OTHER
Source sentences:
text: The tetrahedron is self-dual (i.e. its dual is another tetrahedron).
text: For the other tetrahedron (which is dual to the first), reverse all the signs.
text: It can be seen as the compound of two tetrahedra (one tetrahedron an its dual, a second tetrahedron).
text: The tetrahedron is its own dual, meaning that if the centers of the adjacent faces are connected with line segments, the resulting figure is another tetrahedron.
text: If you join the centers of the faces that share a common edge (mathematically, that's called creating the dual polyhedron), you get another tetrahedron, and the faces of the dual have the same shape as the faces of the original; the tetrahedron is therefore called self-dual.
text: The tetrahedron is its own dual polyhedron, and therefore the centers of the faces of a tetrahedron form another tetrahedron (Steinhaus 1999, p. 201).
text: We say that the tetrahedron is self-dual.