Talk:List of mathematical shapes

Other Shapes
. and it would be rather nice if pictures accompanied each shape, and the shapes were further classified, eg. for 2D shapes with 1 surface, perhaps classify the shapes against their number of straight sides, and number of curved sides.

This list seems incomplete. I'm interested in finding names for two simple shapes that don't appear to be listed currently:

Shape 1. A 2D shape, sector of an annulus, ie. a shape with two regular curves with the same origin as opposite sides, and where the remaining sides are straight, and if extended would pass through the same origin.

Shape 2. A 2D shape, the shape of a running track, including a 3D version being the shape of a chain link.

Thanks. Anonymous

Surfaces
So for an N dimension shape, the maximum number of surfaces can only be N-1? If this is correct is it worth noting? Hullo exclamation mark (talk) 11:10, 6 March 2010 (UTC)

Undefined
The article does not explain what is meant by MD with ND surface. For some entries the shape itself is an M-dimensional manifold, in other cases it is embedded in an M-dimensional manifold. Lines exist in any N-dimensional Euclidean space with N ≥ 1. Under the usual definition of surface, a surface is a 2-dimensional manifold, so what is an "1D surface" or a "3D surface"? Is the intention "boundary"? Then what we see also doesn't make much sense. To start with, it depends on the embedding; a line segment (I assume that is what is meant by "interval" here) embedded in one-dimensional space has a boundary consisting of its two end points, and in higher-dimensional spaces it is its own boundary. Clearly, 1D with 0D boundary is not correct except in a pathological case. --Lambiam 13:00, 24 August 2010 (UTC)


 * I just noticed this naming system which is a bit odd. I would propose something like

with a note after each section explaining that these are k-dimensional manifolds and that the shapes can exist in higher dimensions.--Salix (talk): 10:24, 4 October 2012 (UTC)
 * 1) Zero dimensional
 * 2) curves and polygons in the plane
 * 3) curves in 3D
 * 4) surfaces in 3D

Requested move

 * The following discussion is an archived discussion of a requested move. Please do not modify it. Subsequent comments should be made in a new section on the talk page. Editors desiring to contest the closing decision should consider a move review. No further edits should be made to this section. 

The result of the move request was: not moved, obviously, since the proposal doesn't make much sense, and no rationale was given. &mdash;innotata 20:39, 27 September 2014 (UTC)

List of mathematical shapes → List of shape topics in various fields. – Please place your rationale for the proposed move here. 108.65.82.238 (talk) 21:32, 19 September 2014 (UTC)


 * Oppose – No rationale stated; "and other topics" is not an appropriate or useful part of an article title. Dicklyon (talk) 03:12, 20 September 2014 (UTC)


 * Oppose. The present title is bad, but the proposed title is worse; "and other topics" has no place in a well-defined list. 209.211.131.181 (talk) 03:29, 20 September 2014 (UTC)
 * Support — Preceding unsigned comment added by 108.65.82.238 (talk) 19:00, 20 September 2014 (UTC)
 * The above !vote was lodged by the nominator
 * Comment you support your own proposition, so obviously, you are following this discussion. So why don't you actually provide a reasoning for your proposal? There are comments lodged on your inadequate formulation, which you should address. -- 70.51.46.146 (talk) 05:03, 21 September 2014 (UTC)


 * Oppose and revert to the 2.5kB version. This is a mathematics list, please STOP changing the topic of the list to suit your own agenda. Articles should not exceed 30kB in size, 300kB is far too large. Non-mathematics topics should not be listed on this page. Instead start a new article, if you don't know how, use the WP:Article wizard. Further, there should be subarticles for all the additional material that was added in the mathematics subject area, as this page is now greatly oversized, and will cause problems on all sort of platforms (such as mobile web browsers) -- 70.51.46.146 (talk) 05:23, 21 September 2014 (UTC)
 * The above discussion is preserved as an archive of a requested move. Please do not modify it. Subsequent comments should be made in a new section on this talk page or in a move review. No further edits should be made to this section.

bold amendment by chainsaw
I hacked out a bunch of kitchen sinks; more needs doing; maybe some bits ought to be restored. —Tamfang (talk) 09:38, 21 September 2014 (UTC)
 * I would go much further. Probably back to the shorter much shorter list with links to more detailed lists on other pages. is a reasonable base at 2,473 bytes. Algebraic curves and the more exotic polyhedra are such as List of polygons, polyhedra and polytopes.--Salix alba (talk): 13:16, 21 September 2014 (UTC)

I'm halfway through looking at the 1.8e3 links in the longest version. About two-thirds of them really are mathematical shapes; others are mathematical but not shapes (e.g. theorems; List of topics related to π) or not distinctive shapes (e.g. Tamfang's Circle) or shapes but not mathematical (e.g. I-beam) or … (e.g. List of traffic circles in New Jersey). I haven't yet tried counting those that can be collapsed to a list-link such as Johnson solid. —Tamfang (talk) 22:11, 29 September 2014 (UTC)

First pass done.


 * 1 22 polytope
 * 1 32 polytope
 * 1 33 honeycomb
 * 1 42 polytope
 * 1 52 honeycomb
 * 10-cube
 * 10-demicube
 * 10-orthoplex
 * 10-simplex
 * 11-cell
 * 120-cell
 * 120-cell honeycomb
 * 16-cell
 * 16-cell honeycomb
 * 2 21 polytope
 * 2 22 honeycomb
 * 2 31 polytope
 * 2 41 polytope
 * 2 51 honeycomb
 * 24-cell
 * 24-cell honeycomb
 * 3 21 polytope
 * 3 31 honeycomb
 * 3-sphere
 * 4 21 polytope
 * 5 21 honeycomb
 * 5-cell
 * 5-cell honeycomb
 * 5-cube
 * 5-cubic honeycomb
 * 5-demicube
 * 5-demicubic honeycomb
 * 5-orthoplex
 * 5-polytope
 * 5-simplex
 * 5-simplex honeycomb
 * 57-cell
 * 6-cube
 * 6-cubic honeycomb
 * 6-demicube
 * 6-demicubic honeycomb
 * 6-orthoplex
 * 6-simplex
 * 6-simplex honeycomb
 * 600-cell
 * 7-cube
 * 7-cubic honeycomb
 * 7-demicube
 * 7-demicubic honeycomb
 * 7-orthoplex
 * 7-simplex
 * 8-cube
 * 8-cubic honeycomb
 * 8-demicube
 * 8-demicubic honeycomb
 * 8-orthoplex
 * 8-simplex
 * 9-cube
 * 9-demicube
 * 9-orthoplex
 * 9-simplex
 * Abstract polytope
 * Algebraic curve
 * Algebraic surface
 * Alternated hypercubic honeycomb
 * Annulus (mathematics)
 * Antiprism
 * Apeirogon
 * Apeirogonal hosohedron
 * Apeirogonal prism
 * Apeirohedron
 * Apollonian circles
 * Apollonian gasket
 * Apollonian sphere packing
 * Arbelos
 * Arc (geometry)
 * Archimedean solid
 * Archimedean spiral
 * Arnold tongue
 * Astroid
 * Atriphtaloid
 * 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
 * B-spline
 * Balbis
 * Biaugmented pentagonal prism
 * Biaugmented triangular prism
 * Biaugmented truncated cube
 * Bicentric quadrilateral
 * Bicorn
 * Bicupola (geometry)
 * Bifrustum
 * Bigyrate diminished rhombicosidodecahedron
 * Bilunabirotunda
 * Bipyramid
 * Bitruncated cubic honeycomb
 * Blancmange curve
 * Boerdijk–Coxeter helix
 * Bolza surface
 * Borromean rings
 * Boy's surface
 * Brachistochrone curve
 * Bullet-nose curve
 * Butterfly curve (algebraic)
 * Butterfly curve (transcendental)
 * Bézier curve
 * Bézier triangle
 * Cantellated 120-cell
 * Cantellated 24-cells
 * Cantellated 5-cell
 * Cantellated 5-cubes
 * Cantellated 5-orthoplexes
 * Cantellated 5-simplexes
 * Cantellated 6-cubes
 * Cantellated 6-orthoplexes
 * Cantellated 6-simplexes
 * Cantellated 7-cubes
 * Cantellated 7-demicubes
 * Cantellated 7-orthoplexes
 * Cantellated 7-simplexes
 * Cantellated 8-simplexes
 * Cantellated tesseract
 * Cantic 6-cube
 * Cantor set
 * Cardioid
 * Cassini oval
 * Catalan solid
 * Catalan's minimal surface
 * Catenary
 * Catenoid
 * Caustic (mathematics)
 * Centered trochoid
 * Chamfer (geometry)
 * Chiliagon
 * Circle
 * Circle packing
 * Circle packing in a circle
 * Circle packing in an equilateral triangle
 * Circle packing in an isosceles right triangle
 * Circular sector
 * Circular segment
 * Cissoid of Diocles
 * Clélie
 * Cochleoid
 * Complex polytope
 * 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 nonconvex great rhombicuboctahedra
 * Compound of five octahedra
 * Compound of five octahemioctahedra
 * Compound of five rhombicuboctahedra
 * Compound of five small cubicuboctahedra
 * Compound of five small rhombihexahedra
 * Compound of five small stellated dodecahedra
 * Compound of five stellated truncated hexahedra
 * Compound of five tetrahedra
 * Compound of five tetrahemihexahedra
 * Compound of five truncated cubes
 * Compound of five truncated tetrahedra
 * 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
 * Conchoid (mathematics)
 * Conchoid of de Sluze
 * Conchospiral
 * Cone
 * Conic section
 * Convex and concave polygons
 * Convex regular polychoron
 * Convex uniform honeycomb
 * Costa's minimal surface
 * Cotes's spiral
 * Coxeter's loxodromic sequence of tangent circles
 * Cross-cap
 * Cross-polytope
 * Császár polyhedron
 * Cube
 * Cubic Hermite spline
 * Cubic honeycomb
 * Cubic honeycomb honeycomb
 * Cubic plane curve
 * Cubitruncated cuboctahedron
 * Cuboctahedral prism
 * Cuboctahedron
 * Cubohemioctahedron
 * Cuboid
 * Cupola (geometry)
 * Curve
 * Curve of constant width
 * Cycloid
 * Cyclotruncated 5-simplex honeycomb
 * Cylinder (geometry)
 * De Rham curve
 * Decagon
 * Decagonal antiprism
 * Decagonal bipyramid
 * Decagonal prism
 * Decagram (geometry)
 * Decagrammic antiprism
 * Decagrammic prism
 * Decahedron
 * Delaunay triangulation
 * Deltahedron
 * Deltoid curve
 * Deltoidal hexecontahedron
 * Deltoidal icositetrahedron
 * Demihypercube
 * Devil's curve
 * Dihedron
 * Diminished rhombicosidodecahedron
 * Dini's surface
 * Disdyakis dodecahedron
 * Disdyakis triacontahedron
 * Disk (mathematics)
 * Disphenocingulum
 * Disphenoid
 * Ditrigonal dodecadodecahedron
 * Dodecadodecahedron
 * Dodecagon
 * Dodecagonal antiprism
 * Dodecagonal prism
 * Dodecahedron
 * Douady rabbit
 * Dragon curve
 * Duoprism
 * Dupin cyclide
 * E8 lattice
 * E9 honeycomb
 * Elkies trinomial curves
 * Ellipsoid
 * Elliptic curve
 * Elongated dodecahedron
 * 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
 * Elongated triangular tiling
 * Enneadecagon
 * Enneagonal antiprism
 * Enneagonal prism
 * Enneagram (geometry)
 * Enneagrammic antiprism
 * Enneagrammic crossed-antiprism
 * Enneagrammic prism
 * Enneahedron
 * Enneper surface
 * Epicycloid
 * Epispiral
 * Epitrochoid
 * Equiangular polygon
 * Equilateral polygon
 * Equilateral triangle
 * Euler spiral
 * Evolute
 * Ex-tangential quadrilateral
 * Fermat curve
 * Fermat's spiral
 * Fish curve
 * Flower of Life
 * Folium of Descartes
 * Fractal flame
 * Frustum
 * Golden triangle (mathematics)
 * Golygon
 * Gosper curve
 * Grand 120-cell
 * Grand 600-cell
 * Grand antiprism
 * Grand stellated 120-cell
 * Great 120-cell
 * Great 120-cell honeycomb
 * Great complex icosidodecahedron
 * Great cubicuboctahedron
 * Great deltoidal icositetrahedron
 * Great dirhombicosidodecacron
 * Great dirhombicosidodecahedron
 * Great disdyakis dodecahedron
 * Great disnub dirhombidodecahedron
 * Great ditrigonal dodecacronic hexecontahedron
 * Great ditrigonal dodecicosidodecahedron
 * Great ditrigonal icosidodecahedron
 * Great dodecacronic hexecontahedron
 * Great dodecahedron
 * Great dodecahemicosahedron
 * Great dodecahemidodecahedron
 * Great dodecicosacron
 * Great dodecicosahedron
 * Great dodecicosidodecahedron
 * Great grand 120-cell
 * Great grand stellated 120-cell
 * Great hexagonal hexecontahedron
 * Great icosacronic hexecontahedron
 * Great icosahedral 120-cell
 * Great icosahedron
 * Great icosicosidodecahedron
 * Great icosidodecahedron
 * Great icosihemidodecacron
 * Great icosihemidodecahedron
 * Great inverted snub icosidodecahedron
 * Great pentagrammic hexecontahedron
 * Great pentakis dodecahedron
 * Great retrosnub icosidodecahedron
 * Great rhombidodecacron
 * Great rhombidodecahedron
 * Great rhombihexahedron
 * Great snub dodecicosidodecahedron
 * Great snub icosidodecahedron
 * Great stellated 120-cell
 * Great stellated dodecahedron
 * Great stellated truncated dodecahedron
 * Great triakis icosahedron
 * Great triakis octahedron
 * Great triambic icosahedron
 * Great truncated cuboctahedron
 * Great truncated icosidodecahedron
 * 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
 * Gyroid
 * H tree
 * Harmonograph
 * Hawaiian earring
 * Hebesphenomegacorona
 * Helicoid
 * Helix
 * Hemi-dodecahedron
 * Hemi-icosahedron
 * Hemi-octahedron
 * Hemicube (geometry)
 * Hemihelix
 * Hemipolyhedron
 * Henagon
 * Hendecagon
 * Hendecagonal prism
 * Heptadecagon
 * Heptagon
 * Heptagonal antiprism
 * Heptagonal prism
 * Heptagonal tiling
 * Heptagonal tiling honeycomb
 * Heptagram
 * Heptagrammic antiprism (7/2)
 * Heptagrammic antiprism (7/3)
 * Heptagrammic-order heptagonal tiling
 * Heptahedron
 * Heptellated 8-simplexes
 * Heronian tetrahedron
 * Heronian triangle
 * Hexadecagon
 * Hexaflake
 * Hexagon
 * Hexagonal antiprism
 * Hexagonal bifrustum
 * Hexagonal bipyramid
 * Hexagonal prism
 * Hexagonal pyramid
 * Hexagonal tiling
 * Hexagonal tiling honeycomb
 * Hexagonal trapezohedron
 * Hexagram
 * Hexahedron
 * Hexicated 7-cubes
 * Hexicated 7-simplexes
 * Hexicated 8-simplexes
 * Hilbert curve
 * Hill tetrahedron
 * Hippopede
 * Holyhedron
 * Honeycomb (geometry)
 * Horocycle
 * Hosohedron
 * Hurwitz surface
 * Hyperbolic spiral
 * Hyperbolic triangle
 * Hyperboloid
 * Hypercone
 * Hypercube
 * Hypercubic honeycomb
 * Hyperelliptic curve
 * Hypocycloid
 * Hypotrochoid
 * Hénon map
 * Icosagon
 * Icosahedral 120-cell
 * Icosahedral honeycomb
 * Icosahedron
 * Icosidodecadodecahedron
 * Icosidodecahedral prism
 * Icosidodecahedron
 * Icositruncated dodecadodecahedron
 * Ikeda map
 * Infinite skew polyhedron
 * Infinite-order apeirogonal tiling
 * Infinite-order dodecahedral honeycomb
 * Infinite-order hexagonal tiling honeycomb
 * Infinite-order pentagonal tiling
 * Infinite-order square tiling
 * Infinite-order tetrahedral honeycomb
 * Infinite-order triangular tiling
 * Integer triangle
 * Inverted snub dodecadodecahedron
 * Isogonal figure
 * Isosceles trapezoid
 * Isosceles triangle
 * Jerusalem Cube
 * Jessen's icosahedron
 * Johnson solid
 * Julia set
 * Kampyle of Eudoxus
 * Kappa curve
 * Kepler triangle
 * Kepler–Poinsot polyhedron
 * Kite (geometry)
 * Kleetope
 * Klein bottle
 * Klein quartic
 * Koch snowflake
 * Lemniscate of Bernoulli
 * Lemniscate of Gerono
 * Lemoine hexagon
 * Lidinoid
 * Limaçon
 * Limaçon trisectrix
 * Line (geometry)
 * Line segment
 * Lissajous curve
 * List of complex and algebraic surfaces
 * List of convex uniform tilings
 * List of fractals by Hausdorff dimension
 * List of mathematical shapes
 * List of regular polytopes
 * List of spherical symmetry groups
 * List of surfaces
 * Lituus (mathematics)
 * Logarithmic spiral
 * Lorenz system
 * Lozenge
 * Lune (mathematics)
 * Lune of Hippocrates
 * Lyapunov fractal
 * Lévy C curve
 * Macbeath surface
 * Mandelbrot set
 * Mandelbulb
 * Manifold
 * Maurer rose
 * Medial hexagonal hexecontahedron
 * Medial icosacronic hexecontahedron
 * Megagon
 * Menger sponge
 * Metabiaugmented dodecahedron
 * Metabiaugmented hexagonal prism
 * Metabiaugmented truncated dodecahedron
 * Metabidiminished icosahedron
 * Metabidiminished rhombicosidodecahedron
 * Metabigyrate rhombicosidodecahedron
 * Metagyrate diminished rhombicosidodecahedron
 * Minimal surface
 * Monkey saddle
 * Monotone polygon
 * Moore curve
 * Möbius strip
 * Near-miss Johnson solid
 * Negative pedal curve
 * Nephroid
 * Non-uniform rational B-spline
 * Nonagon
 * Nonconvex great rhombicosidodecahedron
 * Nonconvex great rhombicuboctahedron
 * Oblate spheroid
 * Octadecagon
 * Octagon
 * Octagonal antiprism
 * Octagonal antiprismatic prism
 * Octagonal bipyramid
 * Octagonal prism
 * Octagonal tiling
 * Octagram
 * Octahedral prism
 * Octahedron
 * Octahemioctahedron
 * Oloid
 * Omnitruncated 5-simplex honeycomb
 * Order-2 apeirogonal tiling
 * Order-3 apeirogonal tiling
 * Order-4 120-cell honeycomb
 * Order-4 24-cell honeycomb
 * Order-4 apeirogonal tiling
 * Order-4 dodecahedral honeycomb
 * Order-4 heptagonal tiling
 * Order-4 hexagonal tiling
 * Order-4 hexagonal tiling honeycomb
 * Order-4 octagonal tiling
 * Order-4 octahedral honeycomb
 * Order-4 pentagonal tiling
 * Order-4 square hosohedral honeycomb
 * Order-4 square tiling honeycomb
 * Order-5 120-cell honeycomb
 * Order-5 5-cell honeycomb
 * Order-5 apeirogonal tiling
 * Order-5 cubic honeycomb
 * Order-5 dodecahedral honeycomb
 * Order-5 hexagonal tiling
 * Order-5 hexagonal tiling honeycomb
 * Order-5 icosahedral 120-cell honeycomb
 * Order-5 pentagonal tiling
 * Order-5 square tiling
 * Order-5 tesseractic honeycomb
 * Order-6 cubic honeycomb
 * Order-6 dodecahedral honeycomb
 * Order-6 hexagonal tiling
 * Order-6 hexagonal tiling honeycomb
 * Order-6 octagonal tiling
 * Order-6 pentagonal tiling
 * Order-6 square tiling
 * Order-6 tetrahedral honeycomb
 * Order-6 triangular hosohedral honeycomb
 * Order-7 heptagonal tiling
 * Order-7 heptagrammic tiling
 * Order-7 hexagonal tiling honeycomb
 * Order-7 square tiling
 * Order-7 tetrahedral honeycomb
 * Order-7 triangular tiling
 * Order-8 hexagonal tiling
 * Order-8 octagonal tiling
 * Order-8 square tiling
 * Order-8 triangular tiling
 * Oval
 * Pappus chain
 * Parabiaugmented dodecahedron
 * Parabiaugmented hexagonal prism
 * Parabiaugmented truncated dodecahedron
 * Parabidiminished rhombicosidodecahedron
 * Parabigyrate rhombicosidodecahedron
 * Paraboloid
 * Paragyrate diminished rhombicosidodecahedron
 * Parallel curve
 * Parallelepiped
 * Parallelogram
 * Peano curve
 * Pedal curve
 * Penrose tiling
 * Pentadecagon
 * Pentagon
 * Pentagonal antiprism
 * Pentagonal antiprismatic prism
 * Pentagonal bifrustum
 * Pentagonal bipyramid
 * Pentagonal cupola
 * Pentagonal gyrobicupola
 * Pentagonal gyrocupolarotunda
 * Pentagonal hexecontahedron
 * Pentagonal icositetrahedron
 * Pentagonal orthobicupola
 * Pentagonal orthobirotunda
 * Pentagonal orthocupolarotunda
 * Pentagonal prism
 * Pentagonal pyramid
 * Pentagonal rotunda
 * Pentagram
 * Pentagrammic antiprism
 * Pentagrammic crossed-antiprism
 * Pentagrammic prism
 * Pentagrammic-order 600-cell honeycomb
 * Pentahedron
 * Pentakis dodecahedron
 * Pentakis icosidodecahedron
 * Pentellated 6-cubes
 * Pentellated 6-simplexes
 * Pentellated 7-cubes
 * Pentellated 7-demicubes
 * Pentellated 7-orthoplexes
 * Pentellated 7-simplexes
 * Pentellated 8-simplexes
 * Pentic 6-cubes
 * Pinwheel tiling
 * Plane (geometry)
 * Plane curve
 * Platonic solid
 * Poinsot's spirals
 * Point (geometry)
 * Polychoron
 * Polyform
 * Polygon
 * Polygonal chain
 * Polyhedral compound
 * Polyhedron
 * Polynomial lemniscate
 * Polytetrahedron
 * Prism (geometry)
 * Prismatic compound of antiprisms
 * Prismatic compound of antiprisms with rotational freedom
 * Prismatic compound of prisms
 * Prismatic compound of prisms with rotational freedom
 * Prismatic uniform polychoron
 * Prismatic uniform polyhedron
 * Prismatoid
 * Projective line
 * Projective polyhedron
 * Pseudosphere
 * Pursuit curve
 * Pyramid (geometry)
 * Pythagoras tree (fractal)
 * Quadric
 * Quadrifolium
 * Quadrilateral
 * Quarter cubic honeycomb
 * Quartic plane curve
 * Quasicircle
 * Rational normal curve
 * Rauzy fractal
 * Real projective plane
 * Rectangle
 * Rectified 120-cell
 * Rectified 24-cell
 * Rectified 24-cell honeycomb
 * Rectified 5-cell
 * Rectified 5-cubes
 * Rectified 5-orthoplexes
 * Rectified 5-simplexes
 * Rectified 6-cubes
 * Rectified 6-orthoplexes
 * Rectified 6-simplexes
 * Rectified 600-cell
 * Rectified 7-cubes
 * Rectified 7-orthoplexes
 * Rectified 7-simplexes
 * Rectified 8-cubes
 * Rectified 8-orthoplexes
 * Rectified 8-simplexes
 * Rectified tesseract
 * Rectilinear polygon
 * Regular polygon
 * Regular polyhedron
 * Regular polytope
 * Regular skew polyhedron
 * Rep-tile
 * Reuleaux triangle
 * Rhombic dodecahedral honeycomb
 * Rhombic dodecahedron
 * Rhombic enneacontahedron
 * Rhombic icosahedron
 * Rhombic triacontahedron
 * Rhombicosahedron
 * Rhombicosidodecahedral prism
 * Rhombicosidodecahedron
 * Rhombicuboctahedral prism
 * Rhombicuboctahedron
 * Rhombidodecadodecahedron
 * Rhombitrihexagonal tiling
 * Rhombohedron
 * Rhomboid
 * Rhombus
 * Rhumb line
 * Riemann surface
 * Riemann's minimal surface
 * Right conoid
 * Right triangle
 * Robbins pentagon
 * Roman surface
 * Rose (mathematics)
 * Roulette (curve)
 * Ruled surface
 * Runcic 5-cubes
 * Runcic 6-cubes
 * Runcinated 120-cell
 * Runcinated 24-cells
 * Runcinated 5-cell
 * Runcinated 5-cubes
 * Runcinated 5-orthoplexes
 * Runcinated 5-simplexes
 * Runcinated 6-cubes
 * Runcinated 6-orthoplexes
 * Runcinated 6-simplexes
 * Runcinated 7-cubes
 * Runcinated 7-demicubes
 * Runcinated 7-orthoplexes
 * Runcinated 7-simplexes
 * Runcinated 8-simplexes
 * Runcinated tesseracts
 * Rössler attractor
 * Saddle tower
 * Salinon
 * Scalenohedron
 * Scherk surface
 * Schläfli–Hess polychoron
 * Schwarz minimal surface
 * Schwarz triangle
 * Schönhardt polyhedron
 * Semicircle
 * Semicubical parabola
 * Semiregular polyhedron
 * Serpentine curve
 * Sierpinski carpet
 * Sierpinski triangle
 * Sierpiński arrowhead curve
 * Sierpiński curve
 * Simple polygon
 * Simplex
 * Sinusoidal spiral
 * Small complex icosidodecahedron
 * Small cubicuboctahedron
 * Small ditrigonal dodecacronic hexecontahedron
 * Small ditrigonal dodecicosidodecahedron
 * Small ditrigonal icosidodecahedron
 * Small dodecahemicosacron
 * Small dodecahemicosahedron
 * Small dodecahemidodecacron
 * Small dodecahemidodecahedron
 * Small dodecicosacron
 * Small dodecicosahedron
 * Small dodecicosidodecahedron
 * Small hexacronic icositetrahedron
 * Small hexagonal hexecontahedron
 * Small hexagrammic hexecontahedron
 * Small icosacronic hexecontahedron
 * Small icosicosidodecahedron
 * Small icosihemidodecacron
 * Small icosihemidodecahedron
 * Small retrosnub icosicosidodecahedron
 * Small rhombidodecahedron
 * Small rhombihexacron
 * Small rhombihexahedron
 * Small snub icosicosidodecahedron
 * Small stellated 120-cell
 * Small stellated 120-cell honeycomb
 * Small stellated dodecahedron
 * Small stellated truncated dodecahedron
 * Small triambic icosahedron
 * Smith–Volterra–Cantor set
 * Snub 24-cell
 * Snub 24-cell honeycomb
 * Snub cube
 * Snub cubic prism
 * Snub disphenoid
 * Snub dodecadodecahedron
 * Snub dodecahedral prism
 * Snub dodecahedron
 * Snub icosidodecadodecahedron
 * Snub polyhedron
 * Snub square antiprism
 * Snub square tiling
 * Snub trihexagonal tiling
 * Special right triangles
 * Sphenocorona
 * Sphenomegacorona
 * Sphere
 * Spherical polyhedron
 * Sphericon
 * Spheroid
 * Spiral
 * Spiral of Theodorus
 * Spline (mathematics)
 * Square
 * Square antiprism
 * Square bifrustum
 * Square cupola
 * Square gyrobicupola
 * Square orthobicupola
 * Square pyramid
 * Square tiling
 * Square tiling honeycomb
 * Squircle
 * Stadium (geometry)
 * Star polygon
 * Star polyhedron
 * Star-shaped polygon
 * Steiner chain
 * Stellated truncated hexahedron
 * Steric 5-cubes
 * Steric 6-cubes
 * Stericated 5-cubes
 * Stericated 5-simplexes
 * Stericated 6-cubes
 * Stericated 6-orthoplexes
 * Stericated 6-simplexes
 * Stericated 7-cubes
 * Stericated 7-demicubes
 * Stericated 7-orthoplexes
 * Stericated 7-simplexes
 * Stericated 8-simplexes
 * Strophoid
 * Superellipse
 * Surface
 * Syntractrix
 * Szilassi polyhedron
 * T-square (fractal)
 * Taijitu
 * Tangential polygon
 * Tangential quadrilateral
 * Tautochrone curve
 * Tessellation
 * Tesseract
 * Tesseractic honeycomb
 * Tetradecagon
 * Tetradecahedron
 * Tetragonal disphenoid honeycomb
 * Tetragonal trapezohedron
 * Tetrahedral prism
 * Tetrahedral-octahedral honeycomb
 * Tetrahedron
 * Tetrahemihexahedron
 * Tetrakis hexahedron
 * Tetrated dodecahedron
 * Tomahawk (geometry)
 * Torus
 * Tractrix
 * Transcendental curve
 * Trapezo-rhombic dodecahedron
 * Trapezohedron
 * Trapezoid
 * Triacontagon
 * Triakis icosahedron
 * Triakis octahedron
 * Triakis tetrahedron
 * Triangle
 * Triangular bifrustum
 * Triangular bipyramid
 * Triangular cupola
 * Triangular hebesphenorotunda
 * Triangular orthobicupola
 * Triangular prism
 * Triangular prismatic honeycomb
 * Triangular tiling
 * Triangular tiling honeycomb
 * Triaugmented dodecahedron
 * Triaugmented hexagonal prism
 * Triaugmented triangular prism
 * Triaugmented truncated dodecahedron
 * Tridecagon
 * Trident curve
 * Tridiminished icosahedron
 * Tridiminished rhombicosidodecahedron
 * Trigyrate rhombicosidodecahedron
 * Trihexagonal tiling
 * Triply periodic minimal surface
 * Trisectrix of Maclaurin
 * Trochoid
 * Truncated 120-cell
 * Truncated 24-cell honeycomb
 * Truncated 24-cells
 * Truncated 5-cell
 * Truncated 5-cubes
 * Truncated 5-orthoplexes
 * Truncated 5-simplexes
 * Truncated 6-cubes
 * Truncated 6-orthoplexes
 * Truncated 6-simplexes
 * Truncated 7-cubes
 * Truncated 7-demicubes
 * Truncated 7-orthoplexes
 * Truncated 7-simplexes
 * Truncated 8-cubes
 * Truncated 8-demicubes
 * Truncated 8-orthoplexes
 * Truncated 8-simplexes
 * Truncated cube
 * Truncated cubic prism
 * Truncated cuboctahedral prism
 * Truncated cuboctahedron
 * Truncated dodecadodecahedron
 * Truncated dodecahedral prism
 * Truncated dodecahedron
 * Truncated great dodecahedron
 * Truncated great icosahedron
 * Truncated hexagonal tiling
 * Truncated hexagonal trapezohedron
 * Truncated icosahedral prism
 * Truncated icosahedron
 * Truncated icosidodecahedral prism
 * Truncated icosidodecahedron
 * Truncated octahedral prism
 * Truncated octahedron
 * Truncated square tiling
 * Truncated square trapezohedron
 * Truncated tesseract
 * Truncated tetrahedral prism
 * Truncated tetrahedron
 * Truncated trapezohedron
 * Truncated triakis tetrahedron
 * Truncated trihexagonal tiling
 * Tschirnhausen cubic
 * Twisted cubic
 * Uniform 10-polytope
 * Uniform 1 k2 polytope
 * Uniform 2 k1 polytope
 * Uniform 5-polytope
 * Uniform 6-polytope
 * Uniform 7-polytope
 * Uniform 8-polytope
 * Uniform 9-polytope
 * Uniform antiprismatic prism
 * Uniform honeycombs in hyperbolic space
 * Uniform k 21 polytope
 * Uniform polychoron
 * Uniform polyhedron compound
 * Uniform polytope
 * Uniform star polyhedron
 * Uniform tiling
 * Uniform tilings in hyperbolic plane
 * Unit hyperbola
 * Vesica piscis
 * Vicsek fractal
 * Viviani's curve
 * W-curve
 * Waterman polyhedron
 * Watt's curve
 * Weaire–Phelan structure
 * Wedge (geometry)
 * Weierstrass function
 * Whitney umbrella
 * Witch of Agnesi
 * Z-order curve
 * Zonohedron
 * n-flake

Some hundreds of these can be omitted because they're listed in a page such as Johnson solid or Uniform polyhedron compound. —Tamfang (talk) 08:54, 2 October 2014 (UTC)


 * Does Lists of shapes make this page redundant? —Tamfang (talk) 16:16, 2 October 2014 (UTC)
 * That's a list of lists, so no. -- 67.70.35.44 (talk) 12:47, 11 October 2014 (UTC)

November 2
I cut the byte count in half, mainly by removing
 * tables of properties of fractals, pasted from another article
 * shapes that are not mathematically defined
 * mathematical entities that have no distinctive shape – Foo's Point, Bar's Line, Untel's Circle, Triangle of Quatloo
 * concepts that are not shapes at all
 * one or two endless lists of parallel items (e.g.: pentagonal prism, hexagonal prism, heptagonal prism, octagonal prism, enneagonal prism, decagonal prism, hendecagonal prism, dodecagonal prism) that no one is going to click separately

I moved the list of polytopes from the top of the article to be nearer the list of regular polytopes at the bottom of the article; still needs beating into shape but I'm tired of it for now.

I'd also cut the lists of Johnson solids, nonconvex uniform polyhedra, and uniform compounds: readers are far less likely, I think, to click on such entries on this page than on the respective list pages (which have pictures). But I won't do that before discussion. If they are cut, the number of entries should be noted. —Tamfang (talk) 20:55, 2 November 2014 (UTC)

"surface"
In the heading "1D with 0D surface", the word "surface" is wrong. A surface is a 2-dimensional manifold. Michael Hardy (talk) 15:55, 23 September 2014 (UTC)


 * We can make it "boundary" – if indeed that classification is deemed useful. —Tamfang (talk) 20:40, 2 November 2014 (UTC)

Shape
This page went from over 99kb to the 2.1kb.

Articles should not exceed 30kb, 90kb is way too large. — Preceding unsigned comment added by 108.65.82.27 (talk • contribs)
 * There's no size-cap for articles, articles can be as long as they need to be.  George.Edward.C –  Talk  –  Contributions  13:11, 2 November 2014 (UTC)
 * Reported. --Rsrikanth05 (talk) 13:16, 2 November 2014 (UTC)

External links modified
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 * Added archive https://web.archive.org/web/20041113201905/http://www.mathcurve.com/courbes2d/isochron/isochrone%20varignon to http://www.mathcurve.com/courbes2d/isochron/isochrone%20varignon

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Placing 'mathematical shapes' that do not have a wikipedia article
If a shape does not have a wikipedia article attached to it, when adding the shape you must prove that it: A: Exists B: It is allowed on this list (i.e. they need to be 'mathematically well-defined shapes')

Please use tags to ensure that bots can tell they are references (so that they can add archive URLs etc.).

Thanks Dreamy Jazz (talk) 19:31, 23 April 2018 (UTC)

Scutoid
The popular news is enjoying a "new shape" called a Scutoid. See, for example: https://www.popsci.com/new-shape-scutoid It would be helpful for Wikipedia to have some place to address this. Perhaps a list of new names for old shapes, or alternative names etc. In any case, as search for "scutoid" throughout the full scope of Wikipedia should have some informative result. Thanks! --Lbeaumont (talk) 14:45, 3 August 2018 (UTC)
 * I am pleased to see an excellent new Wikipedia article on the Scutoid. How can it best be listed in this article? Thanks! --Lbeaumont (talk) 20:40, 6 August 2018 (UTC)

Knots and links
A knot is an embedding of a topological circle S1 in 3-dimensional Euclidean space, R3 (also known as E3), considered up to continuous deformations and a link is a collection non-intersecting knots.

Should Knots and links be included?

Plesiohedron
”Plesiohedron” has a mathematical definition and is not included. It seems that “plesiohedron” is a group of polyhedra, so should it still be added? Existent human being (talk) 09:38, 27 August 2021 (UTC)