List of mathematical shapes
From Free net encyclopedia
Following is a list of some mathematically well-defined shapes. See also list of polygons, polyhedra and polytopes and list of geometric shapes.
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no D with no surface
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0D with no surface
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1D with 0D surface
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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)
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3D with 1D surface
- helix: x = sin(z) ∧ y = cos(z)
- lorenz attractor
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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
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4D with 2D surface
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4D with 3D surface
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5D with 4D surfaces
- regular 5-polytopes:
- 5-dimensional simplex
- 5-dimensional cross-polytope
- 5-dimensional measure polytope (5-hypercube)
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6D
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7D
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8+ D
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Fractals
- Apollonian gasket
- Cantor set
- Dragon curve
- Koch snowflake
- Lévy C curve
- Lyapunov fractal
- Mandelbrot set
- Sierpinski carpet
- Peano curve
- Sierpinski triangle
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Esoteric spaces
- <math>\int_{-\infin}^{\infin}f^{2}(x)\,dx=r^2</math>
- Wormhole
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