- Polyhedra (all flat surfaces) - Platonic Solids, Pyramids and Prisms
- Non-polyhedra (not all flat surfaces)
Polyhedra: Has at least 1 face / side
Polyhedra: Cube, Cuboid, Pyramid, Prisms, Cylinder
Non-Polyhedra: Sphere, Cone, Torus
Geometrically Similar: Same shape, different size. Ratio of respective dimensions are the same. ie. vol1/vol2 = length1/length2
Types of geometry:
Euclidean geometry: the lines remain at a constant distance from each other even if extended to infinity, and are known as parallel
Hyperbolic geometry: lines "curve away" from each other, increasing in distance as one moves further from the points of intersection with the common perpendicular; these lines are often called ultraparallels.
Elliptic geometry: the lines "curve toward" each other and intersect.
Types of Solids:
Platonic Solids: Regular and convex polygon. Faces are congruent and meet each other at the same vertex.
Archimedian Solids: Distinct from platonic solids. They are symmetric, semi-regular and convex polyhedrons composed of two or more types of regular polyhedrons meeting in identical vertices
Johnson Solids: Strictly convex polyhedron. They are platonic solids as well.