Assertion: polyhedron's face | /r/HasProperty | equilateral triangles
Facets:
Source sentences:
text: Among them are five of the eight convex deltahedra, which have identical, regular faces (all equilateral triangles) but are not uniform.
text: If the vertices are not constrained to a sphere, the polyhedron can be constructed with all equilateral faces.
text: This definition rules out, for example, the square pyramid (since although all the faces are regular, the square base is not congruent to the triangular sides), or the shape formed by joining two tetrahedra together (since although all faces of that triangular bipyramid would be equilateral triangles, that is, congruent and regular, some vertices have 3 triangles and others have 4).
text: A deltahedron (plural deltahedra) is a polyhedron whose faces are all equilateral triangles.
text: Similarly, the tetrahedron is a pyramid with four faces that are equilateral triangles.
text: All faces are equilateral triangles
text: The five platonic solids, or regular polyhedra, are: the tetrahedron (consisting of four faces that are equilateral triangles), the hexahedron, also known as a cube (consisting of six square faces), the octahedron (consisting of eight faces that are equilateral triangles), the dodecahedron (12 pentagons), and the icosahedron (20 equilateral triangles).
text: The five platonic solids, or regular polyhedra, are: the tetrahedron (consisting of four faces that are equilateral triangles), the hexahedron, also known as a cube (consisting of six square faces), the octahedron (consisting of eight faces that are equilateral triangles), the dodecahedron (12 pentagons), and the icosahedron (20 equilateral triangles).
text: Two faces are equilateral, lie on parallel planes, and have a common axis of symmetry.
text: : Two faces are equilateral, lie on parallel planes, and have a common axis of symmetry.
text: It is not possible for all triangular faces to be equilateral.