Main Page | See live article | Alphabetical index Following is a list of some mathematically well-defined shapes. Table of contents 1 no D with no surface 2 0D with no surface 3 1D with 0D surface 4 2D with 1D surface 5 3D with 1D surface 6 3D with 2D surface 7 4D with 2D surface 8 4D with 3D surface 9 5D 10 6D 11 7D 12 8+ D 13 Fractals 14 Esoteric spaces no D with no surface empty set 0D with no surface point 1D with 0D surface interval line 2D with 1D surface Bézier curve: (As+Bt)n | 0≤s≤1 ∧ 0≤t≤1 ∧ s+t=1, An, An-1B, ..., Bn are vectors circle: x²+y²=r² ellipse parabola hyperbola plane polygon decagon googolgon heptagon hexagon megagon nonagon octagon pentagon square triangle umdecagon y=f(x): y=f(x) 3D with 1D surface helix: x=sin(z) ∧ y=cos(z) lorentz attractor 3D with 2D surface Bézier triangle: (As+Bt+Cu)n | 0≤s≤1 ∧ 0≤t≤1 ∧ 0≤u≤1 ∧ s+t+u=1, ApBqCr vectors if p+q+r=n and p, q, r are nonnegative integers cylinder hyperplane möbius strip platonic solid dodecahedron hexahedron (cube) icosahedron octahedron tetrahedron torus quadric cone cylinder ellipsoid spheroid sphere hyperboloid paraboloid sphere 4D with 2D surface klein bottle 4D with 3D surface hypersphere polychoron hecatonicosachoron hexacosichoron hexadecachoron icositetrachoron pentachoron (simplex) tesseract 5D 6D 7D 8+ D Fractals Cantor set Dragon curve Koch snowflake Lyapunov fractal Mandelbrot set Sierpinski carpet Peano curve Sierpinski triangle Esoteric spaces Don't know if this has a name: wormhole See also: List of mathematical topics This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.