"The cycles of the co-tree of a dual minimum spanning tree of a watertight triangle mesh cut that mesh into a topological disk.",
"Transition functions between charts of an integer grid map always contain a translation by an integral offset.",
"There are only five Platonic solids: Tetrahedron, hexahedron, octahedron, dodecahedron, icosahedron",
"The diameter of a circle always subtends a right angle to any point of the circle.",
"Filling a non-regular hole of valence <i>n</i> in a cubic manifold B-spline with <i>n</i> bicubic Bezier patches with <i>G<sup>1</sup></i> continuity is impossible in general if <i>n</i> is even.",
"A closed, regular quad mesh is a topological torus."
