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0D with no surface point 1D with 0D surface interval line 2D with 1D surface Main article: List of two-dimensional geometric shapes See also: list of curves 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 polygon apeirogon chiliagon decagon enneagon googolgon hectagon heptagon hendecagon hexagon megagon myriagon octagon pentagon quadrilateral triangle trapezium 3D with 1D surface Main article: list of curves #Curves in space helix: x = sin(z) ∧ y = cos(z) 3D with 2D surface Main article: list of surfaces 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 plane Platonic solid dodecahedron hexahedron (cube) icosahedron octahedron tetrahedron torus (doughnut) quadric cone cylinder ellipsoid spheroid sphere hyperboloid paraboloid sphere 4D with 3D surface polychoron hecatonicosachoron hexacosichoron hexadecachoron icositetrachoron pentachoron (simplex) tesseract spherical cone 5D with 4D surfaces regular 5-polytopes: 5-dimensional simplex 5-dimensional cross-polytope 5-dimensional hypercube (5-measure polytope) Fractals Main article: List of fractals by Hausdorff dimension 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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