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词条 List of mathematical shapes
释义

  1. Algebraic curves

     Rational curves  Degree 2  Degree 3  Degree 4  Degree 5  Degree 6  Families of variable degree  Curves of genus one  Curves with genus greater than one  Curve families with variable genus 

  2. Transcendental curves

  3. Piecewise constructions

  4. Curves generated by other curves

  5. Space curves

  6. Surfaces in 3-space

  7. Minimal surfaces

  8. Non-orientable surfaces

  9. Quadrics

  10. Pseudospherical surfaces

  11. Algebraic surfaces

  12. Miscellaneous surfaces

  13. Fractals

     Random fractals 

  14. Regular Polytopes

     Polytope elements  Tessellations  Zero dimension  One-dimensional regular polytope   Two-dimensional regular polytopes   Convex   Degenerate (spherical)   Non-convex  Tessellation   Three-dimensional regular polytopes   Convex   Degenerate (spherical)   Non-convex  Tessellations   Euclidean tilings    Hyperbolic tilings    Hyperbolic star-tilings    Four-dimensional regular polytopes    Degenerate (spherical)   Non-convex  Tessellations of Euclidean 3-space  Degenerate tessellations of Euclidean 3-space  Tessellations of hyperbolic 3-space   Five-dimensional regular polytopes and higher   Tessellations of Euclidean 4-space  Tessellations of Euclidean 5-space and higher  Tessellations of hyperbolic 4-space  Tessellations of hyperbolic 5-space   Apeirotopes    Abstract polytopes  

  15. Non-regular polytopes

  16. 2D with 1D surface

     Tilings  Uniform polyhedra  Duals of uniform polyhedra  Johnson solids  Other nonuniform polyhedra  Spherical polyhedra  Honeycombs  Honeycombs  Other  Regular and uniform compound polyhedra  Honeycombs 

  17. 5D with 4D surfaces

     Honeycombs 

  18. Six dimensions

     Honeycombs 

  19. Seven dimensions

     Honeycombs 

  20. Eight dimension

     Honeycombs 

  21. Nine dimensions

     Hyperbolic honeycombs 

  22. Ten dimensions

  23. Dimensional families

  24. Geometry

  25. Geometry and other areas of mathematics

  26. Glyphs and symbols

  27. References

Following is a list of some mathematically well-defined shapes.

Algebraic curves

  • Cubic plane curve
  • Quartic plane curve

Rational curves

Degree 2

  • Conic sections
  • Unit circle
  • Unit hyperbola

Degree 3

{{div col|colwidth=22em}}
  • Folium of Descartes
  • Cissoid of Diocles
  • Conchoid of de Sluze
  • Right strophoid
  • Semicubical parabola
  • Serpentine curve
  • Trident curve
  • Trisectrix of Maclaurin
  • Tschirnhausen cubic
  • Witch of Agnesi
{{div col end}}

Degree 4

{{div col|colwidth=22em}}
  • Ampersand curve
  • Bean curve
  • Bicorn
  • Bow curve
  • Bullet-nose curve
  • Cruciform curve
  • Deltoid curve
  • Devil's curve
  • Hippopede
  • Kampyle of Eudoxus
  • Kappa curve
  • Lemniscate of Booth
  • Lemniscate of Gerono
  • Lemniscate of Bernoulli
  • Limaçon
    • Cardioid
    • Limaçon trisectrix
  • Trifolium curve{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
{{div col end}}

Degree 5

  • Quintic of l'Hospital[1]

Degree 6

  • Astroid
  • Atriphtaloid
  • Nephroid
  • Quadrifolium

Families of variable degree

  • Epicycloid
  • Epispiral
  • Epitrochoid
  • Hypocycloid
  • Lissajous curve
  • Poinsot's spirals
  • Rational normal curve
  • Rose curve

Curves of genus one

  • Bicuspid curve
  • Cassini oval
  • Cassinoide
  • Cubic curve
  • Elliptic curve
  • Watt's curve

Curves with genus greater than one

  • Butterfly curve
  • Elkies trinomial curves
  • Hyperelliptic curve
  • Klein quartic
  • Classical modular curve
  • Bolza surface
  • Macbeath surface

Curve families with variable genus

  • Polynomial lemniscate
  • Fermat curve
  • Sinusoidal spiral
  • Superellipse
  • Hurwitz surface

Transcendental curves

  • Bowditch curve
  • Brachistochrone
  • Butterfly curve
  • Catenary
  • Clélies
  • Cochleoid
  • Cycloid
  • Horopter
  • Isochrone
    • Isochrone of Huygens (Tautochrone)
    • Isochrone of Leibniz[2]
    • Isochrone of Varignon[3]
  • Lamé curve
  • Pursuit curve
  • Rhumb line
  • Spirals
    • Archimedean spiral
    • Cornu spiral
    • Cotes' spiral
    • Fermat's spiral
    • Galileo's spiral[4]
    • Hyperbolic spiral
    • Lituus
    • Logarithmic spiral
    • Nielsen's spiral
  • Syntractrix
  • Tractrix
  • Trochoid

Piecewise constructions

  • Bézier curve
  • Splines
    • B-spline
    • Nonuniform rational B-spline
  • Ogee
  • Loess curve
  • Lowess
  • Polygonal curve
    • Maurer rose
  • Reuleaux triangle
  • Bézier triangle

Curves generated by other curves

{{div col|colwidth=22em}}
  • Caustic including Catacaustic and Diacaustic
  • Cissoid
  • Conchoid
  • Evolute
  • Glissette
  • Inverse curve
  • Involute
  • Isoptic including Orthoptic
  • Orthotomic
  • Negative pedal curve
  • Pedal curve
  • Parallel curve
  • Radial curve
  • Roulette
  • Strophoid
{{div col end}}

Space curves

  • Conchospiral
  • Helix
    • Tendril perversion (a transition between back-to-back helices)
    • Hemihelix, a quasi-helical shape characterized by multiple tendril perversions
  • Seiffert's spiral[5]
  • Slinky spiral[6]
  • Twisted cubic
  • Viviani's curve

Surfaces in 3-space

{{main|List of surfaces}}
  • Plane
  • Quadric surfaces
    • Cone
    • Cylinder
    • Ellipsoid
    • Spheroid
    • Sphere
    • Hyperboloid
    • Paraboloid
  • Möbius strip
  • Torus

Minimal surfaces

  • Catalan's minimal surface
  • Costa's minimal surface
  • Catenoid
  • Enneper surface
  • Gyroid
  • Helicoid
  • Lidinoid
  • Riemann's minimal surface
  • Saddle tower
  • Scherk surface
  • Schwarz minimal surface
  • Triply periodic minimal surface

Non-orientable surfaces

  • Klein bottle
  • Real projective plane
    • Cross-cap
    • Roman surface
    • Boy's surface

Quadrics

  • Sphere
  • Spheroid
    • Oblate spheroid
  • Cone
  • Ellipsoid
  • Hyperboloid of one sheet
  • Hyperboloid of two sheets
  • Hyperbolic paraboloid (a ruled surface)
  • Paraboloid
  • Sphericon
  • Oloid

Pseudospherical surfaces

  • Dini's surface
  • Pseudosphere

Algebraic surfaces

See the list of algebraic surfaces.
  • Cayley cubic
  • Barth sextic
  • Clebsch cubic
  • Monkey saddle (saddle-like surface for 3 legs.)
  • Torus
  • Dupin cyclide (inversion of a torus)
  • Whitney umbrella

Miscellaneous surfaces

  • Right conoid (a ruled surface)

Fractals

{{main|List of fractals by Hausdorff dimension}}{{div col|colwidth=22em}}
  • Apollonian gasket
  • Apollonian sphere packing
  • Blancmange curve
  • Cantor dust
  • Cantor set
  • Cantor tesseract{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • Circle inversion fractal
  • De Rham curve
  • Douady rabbit
  • Dragon curve
  • Fibonacci word fractal
  • Flame fractal
  • Gosper curve
  • Gosper island
  • H-fractal
  • Hénon map
  • Hexaflake
  • Hilbert curve
  • Ikeda map attractor
  • Iterated function system
  • Jerusalem cube
  • Julia set
  • Koch curve
  • Koch snowflake
  • L-system
  • Lévy C curve
  • Feigenbaum attractor
  • Lorenz attractor
  • Lyapunov fractal
  • Mandelbrot set
  • Mandelbrot tree
  • Mandelbulb
  • Menger sponge
  • Monkeys tree[7]
  • Moore curve
  • N-flake
  • Pascal triangle
  • Peano curve
  • Penrose tiling
  • Pinwheel tiling
  • Pythagoras tree
  • Rauzy fractal
  • Rössler attractor
  • Sierpiński arrowhead curve
  • Sierpinski carpet
  • Sierpiński curve
  • Sierpinski triangle
  • Smith–Volterra–Cantor set
  • T-square
  • Takagi or Blancmange curve
  • Triflake{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • Vicsek fractal
  • von Koch curve
  • Weierstrass function
  • Z-order curve
{{div col end}}

Random fractals

{{Refimprove section|small=yes|talk=Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • von Koch curve with random interval
  • von Koch curve with random orientation
  • Boundary of Brownian motion{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • 2D polymer{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • Percolation front in 2D, Corrosion front in 2D{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • diffusion-limited aggregation
  • Random walk with no self-intersection{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • 3D polymer{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • 2D percolation cluster hull{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • 2D percolation cluster
  • Brownian motion
  • Lichtenberg figure
  • Brownian motion
  • Percolation theory
  • Multiplicative cascade

Regular Polytopes

This table shows a summary of regular polytope counts by dimension.

DimensionConvexNonconvexConvex
Euclidean
tessellations		Convex
hyperbolic
tessellations		Nonconvex
hyperbolic
tessellations		Hyperbolic Tessellations
with infinite cells
and/or vertex figures		Abstract
Polytopes
11 line segment010001
2∞ polygons∞ star polygons1100∞
35 Platonic solids4 Kepler–Poinsot solids3 tilings∞ ∞∞∞
46 convex polychora10 Schläfli–Hess polychora1 honeycomb4 011∞
5 3 convex 5-polytopes0 3 tetracombs 5 42∞
63 convex 6-polytopes01 pentacombs005∞
7+301000∞

There are no nonconvex Euclidean regular tessellations in any number of dimensions.

Polytope elements

The elements of a polytope can be considered according to either their own dimensionality or how many dimensions "down" they are from the body.

  • Vertex, a 0-dimensional element
  • Edge, a 1-dimensional element
  • Face, a 2-dimensional element
  • Cell, a 3-dimensional element
  • Hypercell or Teron, a 4-dimensional element
  • Facet, an (n-1)-dimensional element
  • Ridge, an (n-2)-dimensional element
  • Peak, an (n-3)-dimensional element

For example, in a polyhedron (3-dimensional polytope), a face is a facet, an edge is a ridge, and a vertex is a peak.

  • Vertex figure: not itself an element of a polytope, but a diagram showing how the elements meet.

Tessellations

The classical convex polytopes may be considered tessellations, or tilings, of spherical space. Tessellations of euclidean and hyperbolic space may also be considered regular polytopes. Note that an 'n'-dimensional polytope actually tessellates a space of one dimension less. For example, the (three-dimensional) platonic solids tessellate the 'two'-dimensional 'surface' of the sphere.

Zero dimension

  • Point

One-dimensional regular polytope

There is only one polytope in 1 dimension, whose boundaries are the two endpoints of a line segment, represented by the empty Schläfli symbol {}.

Two-dimensional regular polytopes

  • Polygon
  • Equilateral
  • Cyclic polygon
  • Convex polygon
  • Star polygon
  • Pentagram

Convex

  • Regular polygon
  • Equilateral triangle
  • Simplex
  • Square
  • Cross-polytope
  • Hypercube
  • Pentagon
  • Hexagon
  • Heptagon
  • Octagon
  • Enneagon
  • Decagon
  • Hendecagon
  • Dodecagon
  • Tridecagon
  • Tetradecagon
  • Pentadecagon
  • Hexadecagon
  • Heptadecagon
  • Octadecagon
  • Enneadecagon
  • Icosagon
  • Hectogon
  • Chiliagon
  • Regular polygon
Degenerate (spherical)
  • Henagon
  • Digon

Non-convex

  • star polygon
  • Pentagram
  • Heptagram
  • Octagram
  • Enneagram
  • Decagram

Tessellation

  • Apeirogon

Three-dimensional regular polytopes

  • polyhedron

Convex

  • Platonic solid
    • Tetrahedron, the 3-space Simplex
    • Cube, the 3-space hypercube
    • Octahedron, the 3-space Cross-polytope
    • Dodecahedron
    • Icosahedron

Degenerate (spherical)

  • hosohedron
  • dihedron
  • Henagon#In spherical geometry

Non-convex

  • Kepler–Poinsot polyhedra
    • Small stellated dodecahedron
    • Great dodecahedron
    • Great stellated dodecahedron
    • Great icosahedron

Tessellations

Euclidean tilings
  • Square tiling
  • Triangular tiling
  • Hexagonal tiling
  • Apeirogon
  • Dihedron
Hyperbolic tilings
  • Lobachevski plane
  • Hyperbolic tiling
Hyperbolic star-tilings
  • Order-7 heptagrammic tiling
  • Heptagrammic-order heptagonal tiling
  • Order-9 enneagrammic tiling{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • Enneagrammic-order enneagonal tiling{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}

Four-dimensional regular polytopes

  • convex regular 4-polytope
    • 5-cell, the 4-space Simplex
    • 8-cell, the 4-space Hypercube
    • 16-cell, the 4-space Cross-polytope
    • 24-cell
    • 120-cell
    • 600-cell

Degenerate (spherical)

  • Ditope
  • Hosotope
  • 3-sphere

Non-convex

  • Star or (Schläfli–Hess) regular 4-polytope
    • Icosahedral 120-cell
    • Small stellated 120-cell
    • Great 120-cell
    • Grand 120-cell
    • Great stellated 120-cell
    • Grand stellated 120-cell
    • Great grand 120-cell
    • Great icosahedral 120-cell
    • Grand 600-cell
    • Great grand stellated 120-cell

Tessellations of Euclidean 3-space

  • Honeycomb
  • Cubic honeycomb

Degenerate tessellations of Euclidean 3-space

  • Hosohedron
  • Dihedron
  • Order-2 apeirogonal tiling
  • Apeirogonal hosohedron
  • Order-4 square hosohedral honeycomb
  • Order-6 triangular hosohedral honeycomb
  • Hexagonal hosohedral honeycomb{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • Order-2 square tiling honeycomb
  • Order-2 triangular tiling honeycomb
  • Order-2 hexagonal tiling honeycomb

Tessellations of hyperbolic 3-space

  • Order-4 dodecahedral honeycomb
  • Order-5 dodecahedral honeycomb
  • Order-5 cubic honeycomb
  • Icosahedral honeycomb
  • Order-3 icosahedral honeycomb
  • Order-4 octahedral honeycomb
  • Triangular tiling honeycomb
  • Square tiling honeycomb
  • Order-4 square tiling honeycomb
  • Order-6 tetrahedral honeycomb
  • Order-6 cubic honeycomb
  • Order-6 dodecahedral honeycomb
  • Hexagonal tiling honeycomb
  • Order-4 hexagonal tiling honeycomb
  • Order-5 hexagonal tiling honeycomb
  • Order-6 hexagonal tiling honeycomb

Five-dimensional regular polytopes and higher

  • 5-polytope
  • Honeycomb
  • Tetracomb
Simplex Hypercube Cross-polytope
5-simplex 5-cube 5-orthoplex
6-simplex 6-cube 6-orthoplex
7-simplex 7-cube 7-orthoplex
8-simplex 8-cube 8-orthoplex
9-simplex 9-cube 9-orthoplex
10-simplex 10-cube 10-orthoplex
11-simplex 11-cube 11-orthoplex

Tessellations of Euclidean 4-space

  • honeycombs
  • Tesseractic honeycomb
  • 16-cell honeycomb
  • 24-cell honeycomb

Tessellations of Euclidean 5-space and higher

  • Hypercubic honeycomb
  • Hypercube
  • Square tiling
  • Cubic honeycomb
  • Tesseractic honeycomb
  • 5-cube honeycomb
  • 6-cube honeycomb
  • 7-cube honeycomb
  • 8-cube honeycomb
  • Hypercubic honeycomb

Tessellations of hyperbolic 4-space

  • honeycombs
  • Order-5 5-cell honeycomb
  • 120-cell honeycomb
  • Order-5 tesseractic honeycomb
  • Order-4 120-cell honeycomb
  • Order-5 120-cell honeycomb
  • Order-4 24-cell honeycomb
  • Cubic honeycomb honeycomb
  • Small stellated 120-cell honeycomb
  • Pentagrammic-order 600-cell honeycomb
  • Order-5 icosahedral 120-cell honeycomb
  • Great 120-cell honeycomb

Tessellations of hyperbolic 5-space

  • 5-orthoplex honeycomb
  • 24-cell honeycomb honeycomb
  • 16-cell honeycomb honeycomb
  • Order-4 24-cell honeycomb honeycomb
  • Tesseractic honeycomb honeycomb

Apeirotopes

  • Apeirotope
    • Apeirogon
    • Apeirohedron
    • Regular skew polyhedron

Abstract polytopes

  • Abstract polytope
    • 11-cell
    • 57-cell

Non-regular polytopes

{{Empty section|date=November 2014}}

2D with 1D surface

  • Convex polygon
  • Concave polygon
  • Constructible polygon
  • Cyclic polygon
  • Equiangular polygon
  • Equilateral polygon
  • Regular polygon
  • Penrose tile
  • Polyform
  • Balbis
  • Gnomon
  • Golygon
  • Star without crossing lines
  • Star polygon
    • Hexagram
    • Star of David
    • Heptagram
    • Octagram
    • Star of Lakshmi
    • decagram
    • Pentagram

Polygons named for their number of sides

{{div col|colwidth=18em}}
  • Monogon — 1 sided
  • Digon — 2 sided
  • Triangle
    • Acute triangle
    • Equilateral triangle
    • Isosceles triangle
    • Obtuse triangle
    • Rational triangle
    • Right triangle
    • 30-60-90 triangle
    • Isosceles right triangle
    • Kepler triangle
    • Scalene triangle
  • Quadrilateral
    • Cyclic quadrilateral
    • square
    • kite
    • Parallelogram
    • Rhombus (equilateral parallelogram)
    • Lozenge
    • Rhomboid
    • Rectangle
    • square (regular quadrilateral)
    • Tangential quadrilateral
    • Trapezoid or trapezium
    • Isosceles trapezoid
  • Pentagon
    • Regular pentagon
  • Hexagon
    • Lemoine hexagon
  • Heptagon
  • Octagon
    • Regular octagon
  • Nonagon
  • Decagon
    • Regular decagon
  • Hendecagon
  • Dodecagon
  • Triskaidecagon
  • Tetradecagon
  • Pentadecagon
  • Hexadecagon
  • Heptadecagon
  • Octadecagon
  • Enneadecagon
  • Icosagon
  • Triacontagon
  • Tetracontagon
  • Pentacontagon
  • Hexacontagon
  • Heptacontagon
  • Octacontagon
  • Enneacontagon
  • Hectogon
  • 257-gon
  • Chiliagon
  • Myriagon
  • 65537-gon
  • Megagon
  • Apeirogon
{{div col end}}

Tilings

  • List of uniform tilings
  • Uniform tilings in hyperbolic plane
  • Archimedean tiling
    • Square tiling
    • Triangular tiling
    • Hexagonal tiling
    • Truncated square tiling
    • Snub square tiling
    • Trihexagonal tiling
    • Truncated hexagonal tiling
    • Rhombitrihexagonal tiling
    • Truncated trihexagonal tiling
    • Snub hexagonal tiling
    • Elongated triangular tiling

Uniform polyhedra

{{main|Uniform polyhedron}}
  • Regular polyhedron
    • Platonic solid
    • Tetrahedron
    • Cube
    • Octahedron
    • Dodecahedron
    • Icosahedron
    • Kepler–Poinsot polyhedron (regular star polyhedra)
    • Great icosahedron
    • Small stellated dodecahedron
    • Great dodecahedron
    • Great stellated dodecahedron
    • Abstract regular polyhedra (Projective polyhedron)
    • Hemicube
    • Hemi-octahedron
    • Hemi-dodecahedron
    • Hemi-icosahedron
  • Archimedean solid
    • Truncated tetrahedron
    • Cuboctahedron
    • Truncated cube
    • Truncated octahedron
    • Rhombicuboctahedron
    • Truncated cuboctahedron
    • Snub cube
    • Icosidodecahedron
    • Truncated dodecahedron
    • Truncated icosahedron
    • Rhombicosidodecahedron
    • Truncated icosidodecahedron
    • Snub dodecahedron
  • Prismatic uniform polyhedron
    • Prism
    • Antiprism
  • Uniform star polyhedron
{{div col|colwidth=22em}}
  • Cubitruncated cuboctahedron
  • Cubohemioctahedron
  • Ditrigonal dodecadodecahedron
  • Dodecadodecahedron
  • Great cubicuboctahedron
  • Great dirhombicosidodecahedron
  • Great disnub dirhombidodecahedron
  • Great ditrigonal dodecicosidodecahedron
  • Great ditrigonal icosidodecahedron
  • Great dodecahemicosahedron
  • Great dodecahemidodecahedron
  • Great dodecicosahedron
  • Great dodecicosidodecahedron
  • Great icosicosidodecahedron
  • Great icosidodecahedron
  • Great icosihemidodecahedron
  • Great inverted snub icosidodecahedron
  • Great retrosnub icosidodecahedron
  • Great rhombidodecahedron
  • Great rhombihexahedron
  • Great snub dodecicosidodecahedron
  • Great snub icosidodecahedron
  • Great stellated truncated dodecahedron
  • Great truncated cuboctahedron
  • Great truncated icosidodecahedron
  • Icosidodecadodecahedron
  • Icositruncated dodecadodecahedron
  • Inverted snub dodecadodecahedron
  • Nonconvex great rhombicosidodecahedron
  • Nonconvex great rhombicuboctahedron
  • Octahemioctahedron
  • Rhombicosahedron
  • Rhombidodecadodecahedron
  • Small cubicuboctahedron
  • Small ditrigonal dodecicosidodecahedron
  • Small ditrigonal icosidodecahedron
  • Small dodecahemicosahedron
  • Small dodecahemidodecahedron
  • Small dodecicosahedron
  • Small dodecicosidodecahedron
  • Small icosicosidodecahedron
  • Small icosihemidodecahedron
  • Small retrosnub icosicosidodecahedron
  • Small rhombidodecahedron
  • Small rhombihexahedron
  • Small snub icosicosidodecahedron
  • Small stellated truncated dodecahedron
  • Snub dodecadodecahedron
  • Snub icosidodecadodecahedron
  • Stellated truncated hexahedron
  • Tetrahemihexahedron
  • Truncated dodecadodecahedron
  • Truncated great dodecahedron
  • Truncated great icosahedron
{{div col end}}

Duals of uniform polyhedra

  • Catalan solid
    • Triakis tetrahedron
    • Rhombic dodecahedron
    • Triakis octahedron
    • Tetrakis hexahedron
    • Deltoidal icositetrahedron
    • Disdyakis dodecahedron
    • Pentagonal icositetrahedron
    • Rhombic triacontahedron
    • Triakis icosahedron
    • Pentakis dodecahedron
    • Deltoidal hexecontahedron
    • Disdyakis triacontahedron
    • Pentagonal hexecontahedron
{{div col|colwidth=22em}}
  • non-convex
    • Great complex icosidodecahedron
    • Great deltoidal hexecontahedron
    • Great deltoidal icositetrahedron
    • Great dirhombicosidodecacron
    • Great dirhombicosidodecahedron
    • Great disdyakis dodecahedron
    • Great disdyakis triacontahedron
    • Great disnub dirhombidodecacron
    • Great ditrigonal dodecacronic hexecontahedron
    • Great dodecacronic hexecontahedron
    • Great dodecahemicosacron
    • Great dodecicosacron
    • Great hexacronic icositetrahedron
    • Great hexagonal hexecontahedron
    • Great icosacronic hexecontahedron
    • Great icosihemidodecacron
    • Great inverted pentagonal hexecontahedron
    • Great pentagonal hexecontahedron
    • Great pentagrammic hexecontahedron
    • Great pentakis dodecahedron
    • Great rhombic triacontahedron
    • Great rhombidodecacron
    • Great rhombihexacron
    • Great stellapentakis dodecahedron
    • Great triakis icosahedron
    • Great triakis octahedron
    • Great triambic icosahedron
    • Medial deltoidal hexecontahedron
    • Medial disdyakis triacontahedron
    • Medial hexagonal hexecontahedron
    • Medial icosacronic hexecontahedron
    • Medial inverted pentagonal hexecontahedron
    • Medial pentagonal hexecontahedron
    • Medial rhombic triacontahedron
    • Hexahemioctacron
    • Hemipolyhedron
    • Octahemioctacron
    • Rhombicosacron
    • Small complex icosidodecahedron
    • Small ditrigonal dodecacronic hexecontahedron
    • Small dodecacronic hexecontahedron
    • Small dodecahemicosacron
    • Small dodecahemidodecacron
    • Small dodecicosacron
    • Small hexacronic icositetrahedron
    • Small hexagonal hexecontahedron
    • Small hexagrammic hexecontahedron
    • Small icosacronic hexecontahedron
    • Small icosihemidodecacron
    • Small rhombidodecacron
    • Small rhombihexacron
    • Small stellapentakis dodecahedron
    • Small triambic icosahedron
    • Tetrahemihexacron
{{div col end}}

Johnson solids

{{main|Johnson solid}}{{div col|colwidth=22em}}
  • Augmented dodecahedron
  • Augmented hexagonal prism
  • Augmented pentagonal prism
  • Augmented sphenocorona
  • Augmented triangular prism
  • Augmented tridiminished icosahedron
  • Augmented truncated cube
  • Augmented truncated dodecahedron
  • Augmented truncated tetrahedron
  • Biaugmented pentagonal prism
  • Biaugmented triangular prism
  • Biaugmented truncated cube
  • Bigyrate diminished rhombicosidodecahedron
  • Bilunabirotunda
  • Diminished rhombicosidodecahedron
  • Disphenocingulum
  • Elongated pentagonal bipyramid
  • Elongated pentagonal cupola
  • Elongated pentagonal gyrobicupola
  • Elongated pentagonal gyrobirotunda
  • Elongated pentagonal gyrocupolarotunda
  • Elongated pentagonal orthobicupola
  • Elongated pentagonal orthobirotunda
  • Elongated pentagonal orthocupolarotunda
  • Elongated pentagonal pyramid
  • Elongated pentagonal rotunda
  • Elongated square bipyramid
  • Elongated square cupola
  • Elongated square gyrobicupola
  • Elongated square pyramid
  • Elongated triangular bipyramid
  • Elongated triangular cupola
  • Elongated triangular gyrobicupola
  • Elongated triangular orthobicupola
  • Elongated triangular pyramid
  • Gyrate bidiminished rhombicosidodecahedron
  • Gyrate rhombicosidodecahedron
  • Gyrobifastigium
  • Gyroelongated pentagonal bicupola
  • Gyroelongated pentagonal birotunda
  • Gyroelongated pentagonal cupola
  • Gyroelongated pentagonal cupolarotunda
  • Gyroelongated pentagonal pyramid
  • Gyroelongated pentagonal rotunda
  • Gyroelongated square bicupola
  • Gyroelongated square bipyramid
  • Gyroelongated square cupola
  • Gyroelongated square pyramid
  • Gyroelongated triangular bicupola
  • Gyroelongated triangular cupola
  • Hebesphenomegacorona
  • Metabiaugmented dodecahedron
  • Metabiaugmented hexagonal prism
  • Metabiaugmented truncated dodecahedron
  • Metabidiminished icosahedron
  • Metabidiminished rhombicosidodecahedron
  • Metabigyrate rhombicosidodecahedron
  • Metagyrate diminished rhombicosidodecahedron
  • Parabiaugmented dodecahedron
  • Parabiaugmented hexagonal prism
  • Parabiaugmented truncated dodecahedron
  • Parabidiminished rhombicosidodecahedron
  • Parabigyrate rhombicosidodecahedron
  • Paragyrate diminished rhombicosidodecahedron
  • Pentagonal bipyramid
  • Pentagonal cupola
  • Pentagonal gyrobicupola
  • Pentagonal gyrocupolarotunda
  • Pentagonal orthobicupola
  • Pentagonal orthobirotunda
  • Pentagonal orthocupolarotunda
  • Pentagonal pyramid
  • Pentagonal rotunda
  • Snub disphenoid
  • Snub square antiprism
  • Sphenocorona
  • Sphenomegacorona
  • Square cupola
  • Square gyrobicupola
  • Square orthobicupola
  • Square pyramid
  • Triangular bipyramid
  • Triangular cupola
  • Triangular hebesphenorotunda
  • Triangular orthobicupola
  • Triaugmented dodecahedron
  • Triaugmented hexagonal prism
  • Triaugmented triangular prism
  • Triaugmented truncated dodecahedron
  • Tridiminished icosahedron
  • Tridiminished rhombicosidodecahedron
  • Trigyrate rhombicosidodecahedron
{{div col end}}

Other nonuniform polyhedra

  • Pyramid
  • Bipyramid
  • Disphenoid
  • Parallelepiped
  • Cuboid
  • Rhombohedron
  • Trapezohedron
  • Frustum
  • Trapezo-rhombic dodecahedron
  • Rhombo-hexagonal dodecahedron
  • Truncated trapezohedron
  • Deltahedron
  • Zonohedron
  • Prismatoid
  • Cupola
  • Bicupola

Spherical polyhedra

{{main|spherical polyhedron}}
  • Dihedron
  • Hosohedron

Honeycombs

Honeycombs

//Convex uniform honeycomb">Convex uniform honeycomb
{{div col|colwidth=22em}}
  • Cubic honeycomb
  • Truncated cubic honeycomb
  • Bitruncated cubic honeycomb
  • Cantellated cubic honeycomb
  • Cantitruncated cubic honeycomb
  • Rectified cubic honeycomb
  • Runcitruncated cubic honeycomb
  • Omnitruncated cubic honeycomb
  • Tetrahedral-octahedral honeycomb
  • Truncated alternated cubic honeycomb
  • Cantitruncated alternated cubic honeycomb
  • Runcinated alternated cubic honeycomb
  • Quarter cubic honeycomb
  • Gyrated tetrahedral-octahedral honeycomb
  • Gyrated triangular prismatic honeycomb
  • Gyroelongated alternated cubic honeycomb
  • Gyroelongated triangular prismatic honeycomb
  • Elongated triangular prismatic honeycomb
  • Elongated alternated cubic honeycomb
  • Hexagonal prismatic honeycomb
  • Triangular prismatic honeycomb
  • Triangular-hexagonal prismatic honeycomb
  • Truncated hexagonal prismatic honeycomb
  • Truncated square prismatic honeycomb
  • Rhombitriangular-hexagonal prismatic honeycomb
  • Omnitruncated triangular-hexagonal prismatic honeycomb
  • Snub triangular-hexagonal prismatic honeycomb
  • Snub square prismatic honeycomb
{{div col end}}
Dual uniform honeycomb
  • Disphenoid tetrahedral honeycomb
  • Rhombic dodecahedral honeycomb
Others
  • Trapezo-rhombic dodecahedral honeycomb
  • Weaire–Phelan structure
//Convex uniform honeycombs in hyperbolic space">Convex uniform honeycombs in hyperbolic space
  • Order-4 dodecahedral honeycomb
  • Order-5 cubic honeycomb
  • Order-5 dodecahedral honeycomb
  • Icosahedral honeycomb

Other

{{div col|colwidth=22em}}
  • Apeirogonal prism
  • Apeirohedron
  • Bicupola
  • Cupola
  • Bifrustum
  • Boerdijk–Coxeter helix
  • Császár polyhedron
  • Flexible polyhedron
  • Gyroelongated square dipyramid
  • Heronian tetrahedron
  • Hexagonal bifrustum
  • Hexagonal truncated trapezohedron
  • Hill tetrahedron
  • Holyhedron
  • Infinite skew polyhedron
  • Jessen's icosahedron
  • Near-miss Johnson solid
  • Parallelepiped
  • Pentagonal bifrustum
  • Polytetrahedron
  • Pyritohedron
  • Rhombic enneacontahedron
  • Rhombic icosahedron
  • Rhombo-hexagonal dodecahedron
  • Rhombohedron
  • Scalenohedron
  • Schönhardt polyhedron
  • Square bifrustum
  • Square truncated trapezohedron
  • Szilassi polyhedron
  • Tetradecahedron
  • Tetradyakis hexahedron
  • Tetrated dodecahedron
  • Triangular bifrustum
  • Triaugmented triangular prism
  • Truncated rhombic dodecahedron
  • Truncated trapezohedron
  • Truncated triakis tetrahedron
  • Tridyakis icosahedron
  • Trigonal trapezohedron
  • Regular skew polyhedron
  • Waterman polyhedron
  • Wedge
{{div col end}}

Regular and uniform compound polyhedra

//Polyhedral compound">Polyhedral compound and Uniform polyhedron compound
{{div col|colwidth=22em}}
  • Compound of cube and octahedron
  • Compound of dodecahedron and icosahedron
  • Compound of eight octahedra with rotational freedom
  • Compound of eight triangular prisms
  • Compound of five cubes
  • Compound of five cuboctahedra
  • Compound of five cubohemioctahedra
  • Compound of five great cubicuboctahedra
  • Compound of five great dodecahedra
  • Compound of five great icosahedra
  • Compound of five great rhombihexahedra
  • Compound of five icosahedra
  • Compound of five octahedra
  • Compound of five octahemioctahedra
  • Compound of five small cubicuboctahedra
  • Compound of five small rhombicuboctahedra
  • Compound of five small rhombihexahedra
  • Compound of five small stellated dodecahedra
  • Compound of five stellated truncated cubes
  • Compound of five tetrahedra
  • Compound of five tetrahemihexahedra
  • Compound of five truncated cubes
  • Compound of five truncated tetrahedra
  • Compound of five uniform great rhombicuboctahedra
  • Compound of four hexagonal prisms
  • Compound of four octahedra
  • Compound of four octahedra with rotational freedom
  • Compound of four tetrahedra
  • Compound of four triangular prisms
  • Compound of great icosahedron and great stellated dodecahedron
  • Compound of six cubes with rotational freedom
  • Compound of six decagonal prisms
  • Compound of six decagrammic prisms
  • Compound of six pentagonal antiprisms
  • Compound of six pentagonal prisms
  • Compound of six pentagrammic antiprisms
  • Compound of six pentagrammic crossed antiprisms
  • Compound of six pentagrammic prisms
  • Compound of six square antiprisms
  • Compound of six tetrahedra
  • Compound of six tetrahedra with rotational freedom
  • Compound of small stellated dodecahedron and great dodecahedron
  • Compound of ten hexagonal prisms
  • Compound of ten octahedra
  • Compound of ten tetrahedra
  • Compound of ten triangular prisms
  • Compound of ten truncated tetrahedra
  • Compound of three cubes
  • Compound of three square antiprisms
  • Compound of three tetrahedra
  • Compound of twelve pentagonal antiprisms with rotational freedom
  • Compound of twelve pentagonal prisms
  • Compound of twelve pentagrammic antiprisms
  • Compound of twelve pentagrammic crossed antiprisms with rotational freedom
  • Compound of twelve pentagrammic prisms
  • Compound of twelve tetrahedra with rotational freedom
  • Compound of twenty octahedra
  • Compound of twenty octahedra with rotational freedom
  • Compound of twenty tetrahemihexahedra
  • Compound of twenty triangular prisms
  • Compound of two great dodecahedra
  • Compound of two great icosahedra
  • Compound of two great inverted snub icosidodecahedra
  • Compound of two great retrosnub icosidodecahedra
  • Compound of two great snub icosidodecahedra
  • Compound of two icosahedra
  • Compound of two inverted snub dodecadodecahedra
  • Compound of two small stellated dodecahedra
  • Compound of two snub cubes
  • Compound of two snub dodecadodecahedra
  • Compound of two snub dodecahedra
  • Compound of two snub icosidodecadodecahedra
  • Compound of two truncated tetrahedra
  • Prismatic compound of antiprisms
  • Prismatic compound of antiprisms with rotational freedom
  • Prismatic compound of prisms
  • Prismatic compound of prisms with rotational freedom
{{div col end}}
  • 4-polytope
    • Hecatonicosachoron
    • Hexacosichoron
    • Hexadecachoron
    • Icositetrachoron
    • Pentachoron
    • Tesseract
  • Spherical cone
Convex
//regular 4-polytope">regular 4-polytope
  • 5-cell, Tesseract, 16-cell, 24-cell, 120-cell, 600-cell
//Abstract regular polytope">Abstract regular polytope
  • 11-cell, 57-cell
//regular 4-polytope">Schläfli–Hess 4-polytope (Regular star 4-polytope)
  • Icosahedral 120-cell, Small stellated 120-cell, Great 120-cell, Grand 120-cell, Great stellated 120-cell, Grand stellated 120-cell, Great grand 120-cell, Great icosahedral 120-cell, Grand 600-cell, Great grand stellated 120-cell
//Uniform 4-polytope">Uniform 4-polytope
  • Rectified 5-cell, Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell
  • Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract
  • Rectified 16-cell, Truncated 16-cell
  • Rectified 24-cell, Truncated 24-cell, Cantellated 24-cell, Runcinated 24-cell, Snub 24-cell
  • Rectified 120-cell, Truncated 120-cell, Cantellated 120-cell, Runcinated 120-cell
  • Rectified 600-cell, Truncated 600-cell, Cantellated 600-cell
//Prismatic uniform polychoron">Prismatic uniform polychoron
  • Grand antiprism
  • Duoprism
  • Tetrahedral prism, Truncated tetrahedral prism
  • Truncated cubic prism, Truncated octahedral prism, Cuboctahedral prism, Rhombicuboctahedral prism, Truncated cuboctahedral prism, Snub cubic prism
  • Truncated dodecahedral prism, Truncated icosahedral prism, Icosidodecahedral prism, Rhombicosidodecahedral prism, Truncated icosidodecahedral prism, Snub dodecahedral prism
  • Uniform antiprismatic prism

Honeycombs

  • Tesseractic honeycomb
  • 24-cell honeycomb
  • Snub 24-cell honeycomb
  • Rectified 24-cell honeycomb
  • Truncated 24-cell honeycomb
  • 16-cell honeycomb
  • 5-cell honeycomb
  • Omnitruncated 5-cell honeycomb
  • Truncated 5-cell honeycomb
  • Omnitruncated 5-simplex honeycomb

5D with 4D surfaces

  • regular 5-polytope
    • 5-dimensional cross-polytope
    • 5-dimensional hypercube
    • 5-dimensional simplex
//Five-dimensional space">Five-dimensional space, 5-polytope and uniform 5-polytope
  • 5-simplex, Rectified 5-simplex, Truncated 5-simplex, Cantellated 5-simplex, Runcinated 5-simplex, Stericated 5-simplex
  • 5-demicube, Truncated 5-demicube, Cantellated 5-demicube, Runcinated 5-demicube
  • 5-cube, Rectified 5-cube, 5-cube, Truncated 5-cube, Cantellated 5-cube, Runcinated 5-cube, Stericated 5-cube
  • 5-orthoplex, Rectified 5-orthoplex, Truncated 5-orthoplex, Cantellated 5-orthoplex, Runcinated 5-orthoplex
//Prismatic uniform 5-polytope">Prismatic uniform 5-polytope: For each polytope of dimension n, there is a prism of dimension n+1.{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}

Honeycombs

  • 5-cubic honeycomb
  • 5-simplex honeycomb
  • Truncated 5-simplex honeycomb
  • 5-demicubic honeycomb

Six dimensions

//Six-dimensional space">Six-dimensional space, 6-polytope and uniform 6-polytope
  • 6-simplex, Rectified 6-simplex, Truncated 6-simplex, Cantellated 6-simplex, Runcinated 6-simplex, Stericated 6-simplex, Pentellated 6-simplex
  • 6-demicube, Truncated 6-demicube, Cantellated 6-demicube, Runcinated 6-demicube, Stericated 6-demicube
  • 6-cube, Rectified 6-cube, 6-cube, Truncated 6-cube, Cantellated 6-cube, Runcinated 6-cube, Stericated 6-cube, Pentellated 6-cube
  • 6-orthoplex, Rectified 6-orthoplex, Truncated 6-orthoplex, Cantellated 6-orthoplex, Runcinated 6-orthoplex, Stericated 6-orthoplex
  • 122 polytope, 221 polytope

Honeycombs

  • 6-cubic honeycomb
  • 6-simplex honeycomb
  • 6-demicubic honeycomb
  • 222 honeycomb

Seven dimensions

//Seven-dimensional space">Seven-dimensional space, uniform 7-polytope
  • 7-simplex, Rectified 7-simplex, Truncated 7-simplex, Cantellated 7-simplex, Runcinated 7-simplex, Stericated 7-simplex, Pentellated 7-simplex, Hexicated 7-simplex
  • 7-demicube, Truncated 7-demicube, Cantellated 7-demicube, Runcinated 7-demicube, Stericated 7-demicube, Pentellated 7-demicube
  • 7-cube, Rectified 7-cube, 7-cube, Truncated 7-cube, Cantellated 7-cube, Runcinated 7-cube, Stericated 7-cube, Pentellated 7-cube, Hexicated 7-cube
  • 7-orthoplex, Rectified 7-orthoplex, Truncated 7-orthoplex, Cantellated 7-orthoplex, Runcinated 7-orthoplex, Stericated 7-orthoplex, Pentellated 7-orthoplex
  • 132 polytope, 231 polytope, 321 polytope

Honeycombs

  • 7-cubic honeycomb
  • 7-demicubic honeycomb
  • 331 honeycomb, 133 honeycomb

Eight dimension

//Eight-dimensional space">Eight-dimensional space, uniform 8-polytope
  • 8-simplex, Rectified 8-simplex, Truncated 8-simplex, Cantellated 8-simplex, Runcinated 8-simplex, Stericated 8-simplex, Pentellated 8-simplex, Hexicated 8-simplex, Heptellated 8-simplex
  • 8-orthoplex, Rectified 8-orthoplex, Truncated 8-orthoplex, Cantellated 8-orthoplex, Runcinated 8-orthoplex, Stericated 8-orthoplex, Pentellated 8-orthoplex, Hexicated 8-orthoplex{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • 8-cube, Rectified 8-cube, Truncated 8-cube, Cantellated 8-cube, Runcinated 8-cube, Stericated 8-cube, Pentellated 8-cube, Hexicated 8-cube, Heptellated 8-cube{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • 8-demicube, Truncated 8-demicube, Cantellated 8-demicube, Runcinated 8-demicube, Stericated 8-demicube, Pentellated 8-demicube, Hexicated 8-demicube{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
  • 142 polytope, 241 polytope, 421 polytope, Truncated 421 polytope, Truncated 241 polytope, Truncated 142 polytope, Cantellated 421 polytope, Cantellated 241 polytope, Runcinated 421 polytope{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}

Honeycombs

  • 8-cubic honeycomb
  • 8-demicubic honeycomb
  • 521 honeycomb, 251 honeycomb, 152 honeycomb

Nine dimensions

//9-polytope">9-polytope
  • 9-cube
  • 9-demicube
  • 9-orthoplex
  • 9-simplex

Hyperbolic honeycombs

  • E9 honeycomb

Ten dimensions

//10-polytope">10-polytope
  • 10-cube
  • 10-demicube
  • 10-orthoplex
  • 10-simplex

Dimensional families

//Regular polytope">Regular polytope and List of regular polytopes
  • Simplex
  • Hypercube
  • Cross-polytope
//Uniform polytope">Uniform polytope
  • Demihypercube
  • Uniform 1k2 polytope
  • Uniform 2k1 polytope
  • Uniform k21 polytope
Honeycombs
  • Hypercubic honeycomb
  • Alternated hypercubic honeycomb

Geometry

{{div col|colwidth=22em}}
  • Triangle
  • Automedian triangle
  • Delaunay triangulation
  • Equilateral triangle
  • Golden triangle
  • Hyperbolic triangle (non-Euclidean geometry)
  • Isosceles triangle
  • Kepler triangle
  • Reuleaux triangle
  • Right triangle
  • Sierpinski triangle (fractal geometry)
  • Special right triangles
  • Spiral of Theodorus
  • Thomson cubic
  • Triangular bipyramid
  • Triangular prism
  • Triangular pyramid
  • Triangular tiling
{{div col end}}

Geometry and other areas of mathematics

{{div col|colwidth=30em}}
  • Annulus
  • Apollonian circles
  • Apollonian gasket
  • Arbelos
  • Borromean rings
  • Circle
  • Circular sector
  • Circular segment
  • Cyclic quadrilateral
  • Cycloid
  • Epitrochoid
    • Epicycloid
    • Cardioid
    • Nephroid
    • Deferent and epicycle
  • Ex-tangential quadrilateral
  • Horocycle
  • Hypotrochoid
    • Hypocycloid
    • Astroid
    • Deltoid curve
  • Lune
  • Pappus chain
  • Peaucellier–Lipkin linkage
  • Robbins pentagon
  • Salinon
  • Semicircle
  • Squircle
  • Steiner chain
  • Tangential quadrilateral
    • Bicentric quadrilateral
{{div col end}}

Glyphs and symbols

{{div col|colwidth=22em}}
  • Borromean rings
  • Crescent
  • Vesica piscis
  • Arc
  • Caustic
  • Cissoid
  • Conchoid
  • Cubic Hermite curve
  • Curve of constant width
  • hedgehog[8]
  • Parametric curve
    • Bézier curve
    • Spline
    • Hermite spline
    • Beta spline{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
    • B-spline
    • Higher-order spline{{Citation needed|reason=See Talk: Placing 'mathematical shapes' that do not have a wikipedia article|date=April 2018}}
    • NURBS
  • Ray
  • Reuleaux triangle
  • Ribaucour curve[9]
{{div col end}}

References

1. ^{{Cite web |url=http://www.mathcurve.com/courbes2d/quintique%20de%20l'hospital/quintique%20de%20l'hospital.shtml |title=Courbe a Réaction Constante, Quintique De L'Hospital |trans-title=Constant Reaction Curve, Quintic of l'Hospital}}
2. ^{{Cite web |archive-url=https://web.archive.org/web/20041114002246/http://www.mathcurve.com/courbes2d/isochron/isochrone%20leibniz |url=http://www.mathcurve.com/courbes2d/isochron/isochrone%20leibniz |dead-url=yes|archivedate=14 November 2004}}
3. ^{{Cite web |archive-url=https://web.archive.org/web/20041113201905/http://www.mathcurve.com/courbes2d/isochron/isochrone%20varignon |url=http://www.mathcurve.com/courbes2d/isochron/isochrone%20varignon |dead-url=yes|archivedate=13 November 2004}}
4. ^{{cite web|url=http://www.mathcurve.com/courbes2d/galilee/galilee.shtml|title=Spirale de Galilée|first=Robert|last=Ferreol|website=www.mathcurve.com}}
5. ^{{cite web|url=http://mathworld.wolfram.com/SeiffertsSphericalSpiral.html|title=Seiffert's Spherical Spiral|first=Eric W. |last=Weisstein|website=mathworld.wolfram.com}}
6. ^{{cite web|url=http://mathworld.wolfram.com/Slinky.html|title=Slinky|first=Eric W. |last=Weisstein|website=mathworld.wolfram.com}}
7. ^{{Cite web |url=http://www.coaauw.org/boulder-eyh/eyh_fractal.html |title=Monkeys tree fractal curve |archive-url=https://archive.is/20020921135308/http://www.coaauw.org/boulder-eyh/eyh_fractal.html |archive-date=21 September 2002 }}
8. ^{{Cite web |url=http://mathworld.wolfram.com/Hedgehog.html |title=Hedgehog |last=Weisstein |first=Eric W. |website=mathworld.wolfram.com}}
9. ^{{Cite web |url=http://www.mathcurve.com/courbes2d/ribaucour/ribaucour.shtml |title=Courbe De Ribaucour |trans-title=Ribaucour curve |website=mathworld.wolfram.com}}
{{DEFAULTSORT:Mathematical shapes}}

1 : Mathematics-related lists
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