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Berikut ini adalah daftar dari beberapa bentuk matematis terdefinisi dengan baik .
Kurva rasional
Derajat 2
Derajat 3
Derajat 4
Derajat 5
Derajat 6
Keluarga dengan derajat variabel
Kurva dari genus satu
Kurva dengan genus lebih dari satu
Keluarga kurva dengan genus variabel
Kurva transendental
Kurva yang dihasilkan oleh kurva lain
Kurva ruang
Permukaan dalam ruang 3 dimensi
Kuadrik
Permukaan bola semu
See the list of algebraic surfaces .
Permukaan lainnya
Fraktal
Fraktal acak
Politop beraturan
Berikut adalah tabel yang memperlihatkan ringkasan mengenai politop beraturan yang dihitung dengan dimensi.
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.
Puncak , sebuah elemen dimensi 0Sisi , sebuah elemen dimensi 1Wajah , sebuah elemen dimensi 2Sel , sebuah elemen dimensi 3Hipersel , sebuah elemen dimensi 4Facet , sebuah (n -1)Ridge , sebuah elemen dimensi (n -2)Peak , sebuah elemen dimensi (n -3)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.
Teselasi
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.
Dimensi nol
Politop regular satu dimensi
Terdapat hanya satu politop dalam 1 dimensi, yang batasnya terdapat dua titik akhir ruas garis , diwakili oleh simbol Schläfli kosong {}.
Politop regular dua dimensi
Cembung
Takcembung
Teselasi
Politop regular tiga dimensi
Cembung
Takcembung
Tessellations
Euclidean tilings
Hyperbolic tilings
Hyperbolic star-tilings
Four-dimensional regular polytopes
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
Non-regular polytopes
Bagian ini kosong. Anda bisa membantu dengan melengkapinya . (November 2014 )
2D with 1D surface
Polygons named for their number of sides
Tilings
Johnson solids
Spherical polyhedra
Honeycombs
Convex uniform honeycomb Dual uniform honeycomb Others Convex uniform honeycombs in hyperbolic space
Other
Polyhedral compound and Uniform polyhedron compound Convex regular 4-polytope Abstract regular polytope Schläfli–Hess 4-polytope (Regular star 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 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
5D with 4D surfaces
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 For each polytope of dimension n , there is a prism of dimension n +1.[butuh rujukan
Honeycombs
Six dimensions
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
Seven dimensions
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
Eight dimension
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 [butuh rujukan 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 [butuh rujukan 8-demicube , Truncated 8-demicube , Cantellated 8-demicube , Runcinated 8-demicube , Stericated 8-demicube , Pentellated 8-demicube , Hexicated 8-demicube [butuh rujukan 142 polytope , 241 polytope , 421 polytope , Truncated 421 polytope , Truncated 241 polytope , Truncated 142 polytope , Cantellated 421 polytope , Cantellated 241 polytope , Runcinated 421 polytope [butuh rujukan
Honeycombs
Nine dimensions
9-polytope
Hyperbolic honeycombs
Ten dimensions
10-polytope
Dimensional families
Regular polytope and List of regular polytopes Uniform polytope Honeycombs
Geometri
Geometry and other areas of mathematics
Ford circles
Glyphs and symbols
Referensi
