Assertion: tetrahedron's vertex | /r/HasProperty | equidistant
Facets:
value: from one
type: OTHER
value: from one another
type: OTHER
value: from all other vertices
type: OTHER
value: from each other
type: LOCATION
Source sentences:
text: Unlike the case of the other Platonic solids, all the vertices of a regular tetrahedron are equidistant from each other (they are the only possible arrangement of four equidistant points in 3-dimensional space).
text: the four vertices are equidistant from one another
text: Start out with a cube and take a subset of 4 vertices such that each vertex is equidistant from all other vertices:
text: Proof: The vertices of the tetrahedron are all equidistant from one another and this distance is the maximum distance between any two points in the tetrahedron.