Assertion: polyhedron's face | /r/HasProperty | flat
Facets:
value: because of inflation
type: CAUSE
value: in solid geometry
type: LOCATION
value: usually
type: DEGREE
Source sentences:
text: Similarly, a polyhedron is a solid that has only straight edges and flat faces (that is, faces that are polygons).
text: When we count the number of faces (the flat surfaces), vertices (corner points), and edges of a polyhedron we discover an interesting thing:
text: A face is bounded by a circuit of edges, and is usually a flat (plane) region called a polygon.
text: In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by faces is a polyhedron.
text: A prism is a polyhedron, which means all faces are flat!
text: We should already be familiar with hemispherical polygons in dihedra, and how else would you flatten out such a face when the polyhedron is realised with flat faces?
text: A football is a bit like a polyhedron, but all the faces of a polyhedron must be flat and, because of inflation, those of a football are not.
text: all the edges are tangent to the unit sphere, the origin is the center of gravity of the points at which the edges touch the sphere, the faces are flat (i.e. the vertices of each face lie in some plane), but are not necessarily regular.
text: A geodesic polyhedron has straight edges and flat faces that approximate a sphere, but it can also be made as a spherical polyhedron (a tessellation on a sphere) with true geodesic curved edges on the surface of a sphere. and spherical triangle faces.