List of mathematical shapes
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Following is a list of some mathematically well-defined shapes. See also list of polygons, polyhedra and polytopes.
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no D with no surface
0D with no surface
1D with 0D surface
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
- y=f(x): y=f(x)
3D with 1D surface
- helix: x=sin(z) ∧ y=cos(z)
- lorenz 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
- torus
- quadric
4D with 2D surface
4D with 3D surface
5D
6D
7D
8+ D
Fractals
- Apollonian gasket
- Cantor set
- Dragon curve
- Koch snowflake
- Lévy C curve
- Lyapunov fractal
- Mandelbrot set
- Sierpinski carpet
- Peano curve
- Sierpinski triangle
Esoteric spaces
- Don't know if this has a name: <math>\int_{-\infin}^{\infin}f^{2}(x)dx=r^2<math>
- wormhole
See also: List of mathematical topics