Daftar bentuk matematika
 | Artikel ini perlu diterjemahkan ke bahasa Indonesia. |
Berikut ini adalah daftar dari beberapa bentuk matematis terdefinisi dengan baik .
Kurva rasional
[sunting | sunting sumber]Derajat 2
[sunting | sunting sumber]Derajat 3
[sunting | sunting sumber]- Folium dari Descartes
- Cissoid of Diocles
- Conchoid of de Sluze
- Strofoid siku-siku
- Parabola semikubis
- Kurva serpentin
- Kurva trisula
- Trisektriks Maclaurin
- Kubik Tschirnhausen
- Penyihir Agnesi
Derajat 4
[sunting | sunting sumber]- Kurva ampersand
- Kurva kacang
- Bicorn
- Kurva busur
- Kurva hidung peluru
- Kurva krukrivom
- Kurva deltoid
- Kurva devol
- Kampyle of Eudoxus
- Kurva Kappa
- Hippopede
- Lemniskat Gerono
- Leminskat Bernoulli
- Limaçon
- Kurva Trifolium[butuh rujukan]
Derajat 5
[sunting | sunting sumber]Derajat 6
[sunting | sunting sumber]Keluarga dengan derajat variabel
[sunting | sunting sumber]- Episikloid
- Epispiral
- Epitrokoid
- Hiposikloid
- Kurva Lissajous
- Spiral Poinsot: Sebenarnya bukan spiral
- Kurva biasa rasional
- Kurva Rose
Kurva dari genus satu
[sunting | sunting sumber]Kurva dengan genus lebih dari satu
[sunting | sunting sumber]- Kurva kupu-kupu
- Kurva trinomial Elkies
- Kurva hipereliptik
- Kuartik Klein
- Kurva modular klasik
- Permukaan Bolza
- Permukaan Macbeath
Keluarga kurva dengan genus variabel
[sunting | sunting sumber]- Lemniskat polinomial
- Kurva Fermat
- Spiral sinusoidal: Sebenarnya bukan spiral
- Superelips
- Permukaan Hurwitz
Kurva transendental
[sunting | sunting sumber]Konstruksi sesepenggal
[sunting | sunting sumber]Kurva yang dihasilkan oleh kurva lain
[sunting | sunting sumber]- Evolut
- Glissette
- Involut
- Isoptik memuat Ortoptik
- Caustic memuat Diakaustik dan Katakaustik
- Konkoid
- Kurva invers
- Kurva pedal negatif
- Kurva pedal
- Kurva ruji
- Kurva sejajar
- Ortotomik
- Roulette
- Sisoid
- Strofoid
Kurva ruang
[sunting | sunting sumber]Permukaan dalam ruang 3 dimensi
[sunting | sunting sumber]- 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
[sunting | sunting sumber]Kuadrik
[sunting | sunting sumber]- Bola (geometri)
- Sferoid
- Cone
- Ellipsoid
- Hyperboloid of one sheet
- Hyperboloid of two sheets
- Hyperbolic paraboloid (a ruled surface)
- Paraboloid
- Sphericon
- Oloid
Permukaan bola semu
[sunting | sunting sumber]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)
- Payung Whitney
Permukaan lainnya
[sunting | sunting sumber]Fraktal
[sunting | sunting sumber]- Apollonian gasket
- Apollonian sphere packing
- Blancmange curve
- Cantor dust
- Cantor set
- Cantor tesseract[butuh rujukan]
- Circle inversion fractal
- De Rham curve
- Douady rabbit
- Dragon curve
- Fibonacci word fractal
- Flame fractal
- Fractal curve
- 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[butuh rujukan]
- Vicsek fractal
- von Koch curve
- Weierstrass function
- Z-order curve
Fraktal acak
[sunting | sunting sumber] | Bagian ini membutuhkan rujukan tambahan agar kualitasnya dapat dipastikan. |
- von Koch curve with random interval
- von Koch curve with random orientation
- Boundary of Brownian motion[butuh rujukan]
- 2D polymer[butuh rujukan]
- Percolation front in 2D, Corrosion front in 2D[butuh rujukan]
- diffusion-limited aggregation
- Random walk with no self-intersection[8]
- 3D polymer[butuh rujukan]
- 2D percolation cluster hull[butuh rujukan]
- 2D percolation cluster
- Brownian motion
- Lichtenberg figure
- Brownian motion
- Percolation theory
- Multiplicative cascade
Politop beraturan
[sunting | sunting sumber]Berikut adalah tabel yang memperlihatkan ringkasan mengenai politop beraturan yang dihitung dengan dimensi.
| Dimensi | Cembung | Takcembung | Teselasi cembung Euklides | Teselasi cembung hiperbolik | Teselasi takcembung hiperbolik | Teselasi Hiperbolik dengan sel takhingga dan/atau gambar verteks |
Politop abstrak |
|---|---|---|---|---|---|---|---|
| 1 | 1 ruas garis | 0 | 1 | 0 | 0 | 0 | 1 |
| 2 | ∞ polygons | ∞ star polygons | 1 | 1 | 0 | 0 | ∞ |
| 3 | 5 Platonic solids | 4 Kepler–Poinsot solids | 3 tilings | ∞ | ∞ | ∞ | ∞ |
| 4 | 6 convex polychora | 10 Schläfli–Hess polychora | 1 honeycomb | 4 | 0 | 11 | ∞ |
| 5 | 3 convex 5-polytopes | 0 | 3 tetracombs | 5 | 4 | 2 | ∞ |
| 6 | 3 convex 6-polytopes | 0 | 1 pentacombs | 0 | 0 | 5 | ∞ |
| 7+ | 3 | 0 | 1 | 0 | 0 | 0 | ∞ |
There are no nonconvex Euclidean regular tessellations in any number of dimensions.
Polytope elements
[sunting | sunting sumber]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 0
- Sisi, sebuah elemen dimensi 1
- Wajah, sebuah elemen dimensi 2
- Sel, sebuah elemen dimensi 3
- Hipersel, sebuah elemen dimensi 4
- Facet, 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
[sunting | sunting sumber]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
[sunting | sunting sumber]Politop regular satu dimensi
[sunting | sunting sumber]Terdapat hanya satu politop dalam 1 dimensi, yang batasnya terdapat dua titik akhir ruas garis, diwakili oleh simbol Schläfli kosong {}.
Politop regular dua dimensi
[sunting | sunting sumber]Cembung
[sunting | sunting sumber]Merosot (bola)
[sunting | sunting sumber]Takcembung
[sunting | sunting sumber]Teselasi
[sunting | sunting sumber]Politop regular tiga dimensi
[sunting | sunting sumber]Cembung
[sunting | sunting sumber]- Platonic solid
- Tetrahedron, the 3-space Simplex
- Cube, the 3-space hypercube
- Octahedron, the 3-space Cross-polytope
- Dodecahedron
- Icosahedron
Degenerate (spherical)
[sunting | sunting sumber]Takcembung
[sunting | sunting sumber]Tessellations
[sunting | sunting sumber]Euclidean tilings
[sunting | sunting sumber]Hyperbolic tilings
[sunting | sunting sumber]Hyperbolic star-tilings
[sunting | sunting sumber]- Order-7 heptagrammic tiling
- Heptagrammic-order heptagonal tiling
- Order-9 enneagrammic tiling[butuh rujukan]
- Enneagrammic-order enneagonal tiling[butuh rujukan]
Four-dimensional regular polytopes
[sunting | sunting sumber]- convex regular 4-polytope
Degenerate (spherical)
[sunting | sunting sumber]Non-convex
[sunting | sunting sumber]- Star or (Schläfli–Hess) regular 4-polytope
Tessellations of Euclidean 3-space
[sunting | sunting sumber]Degenerate tessellations of Euclidean 3-space
[sunting | sunting sumber]- Hosohedron
- Dihedron
- Order-2 apeirogonal tiling
- Apeirogonal hosohedron
- Order-4 square hosohedral honeycomb
- Order-6 triangular hosohedral honeycomb
- Hexagonal hosohedral honeycomb[butuh rujukan]
- Order-2 square tiling honeycomb
- Order-2 triangular tiling honeycomb
- Order-2 hexagonal tiling honeycomb
Tessellations of hyperbolic 3-space
[sunting | sunting sumber]- 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
[sunting | sunting sumber]Tessellations of Euclidean 4-space
[sunting | sunting sumber]Tessellations of Euclidean 5-space and higher
[sunting | sunting sumber]- 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
[sunting | sunting sumber]- 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
[sunting | sunting sumber]- 5-orthoplex honeycomb
- 24-cell honeycomb honeycomb
- 16-cell honeycomb honeycomb
- Order-4 24-cell honeycomb honeycomb
- Tesseractic honeycomb honeycomb
Apeirotopes
[sunting | sunting sumber]Abstract polytopes
[sunting | sunting sumber]Non-regular polytopes
[sunting | sunting sumber] | Bagian ini kosong. Anda bisa membantu dengan melengkapinya. (November 2014) |
2D with 1D surface
[sunting | sunting sumber]- 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
Polygons named for their number of sides
- Monogon — 1 sided
- Digon — 2 sided
- Triangle
- Quadrilateral
- Pentagon
- Hexagon
- Heptagon
- Octagon
- Nonagon
- 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
Tilings
[sunting | sunting sumber]Uniform polyhedra
[sunting | sunting sumber]- Regular polyhedron
- Platonic solid
- Kepler–Poinsot polyhedron (regular star polyhedra)
- Abstract regular polyhedra (Projective polyhedron)
- Archimedean solid
- Prismatic uniform polyhedron
- 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
Duals of uniform polyhedra
[sunting | sunting sumber]- 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
- 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
Johnson solids
[sunting | sunting sumber]- 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
Other nonuniform polyhedra
[sunting | sunting sumber]- Pyramid
- Bipyramid
- Disphenoid
- Parallelepiped
- Cuboid
- Rhombohedron
- Trapezohedron
- Frustum
- Trapezo-rhombic dodecahedron
- Rhombo-hexagonal dodecahedron
- Truncated trapezohedron
- Deltahedron
- Zonohedron
- Prismatoid
- Cupola
- Bicupola
Spherical polyhedra
[sunting | sunting sumber]Honeycombs
[sunting | sunting sumber]- 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
- Dual uniform honeycomb
- Others
- Order-4 dodecahedral honeycomb
- Order-5 cubic honeycomb
- Order-5 dodecahedral honeycomb
- Icosahedral honeycomb
Other
[sunting | sunting sumber]- 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
Regular and uniform compound polyhedra
[sunting | sunting sumber]- 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
- Convex 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
- 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
- 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
[sunting | sunting sumber]- 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
[sunting | sunting sumber]- regular 5-polytope
- 5-dimensional cross-polytope
- 5-dimensional hypercube
- 5-dimensional simplex
- 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
[sunting | sunting sumber]Six dimensions
[sunting | sunting sumber]- 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
[sunting | sunting sumber]Seven dimensions
[sunting | sunting sumber]- 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
[sunting | sunting sumber]Eight dimension
[sunting | sunting sumber]- 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
[sunting | sunting sumber]Nine dimensions
[sunting | sunting sumber]Hyperbolic honeycombs
[sunting | sunting sumber]Ten dimensions
[sunting | sunting sumber]Dimensional families
[sunting | sunting sumber]- Honeycombs
Geometri
[sunting | sunting sumber]- Segitiga
- Automedian triangle
- Delaunay triangulation
- Segitiga sama sisi
- Golden triangle
- Hyperbolic triangle (non-Euclidean geometry)
- Segitiga sama kaki
- Segitiga Kepler
- Segitiga Reuleaux
- Segitiga siku-siku
- Sierpinski triangle (fractal geometry)
- Special right triangles
- Spiral of Theodorus
- Thomson cubic
- Triangular bipyramid
- Triangular prism
- Triangular pyramid
- Triangular tiling
Geometry and other areas of mathematics
[sunting | sunting sumber]
- Annulus
- Apollonian circles
- Apollonian gasket
- Arbelos
- Borromean rings
- Circle
- Circular sector
- Circular segment
- Cyclic quadrilateral
- Cycloid
- Epitrochoid
- Ex-tangential quadrilateral
- Horocycle
- Hypotrochoid
- Lune
- Pappus chain
- Peaucellier–Lipkin linkage
- Robbins pentagon
- Salinon
- Semicircle
- Squircle
- Steiner chain
- Tangential quadrilateral
Glyphs and symbols
[sunting | sunting sumber]Referensi
[sunting | sunting sumber]- ^ "Courbe a Réaction Constante, Quintique De L'Hospital" [Kurva Reaksi Konstan, Quintic l'Hospital].
- ^ https://web.archive.org/web/20041114002246/http://www.mathcurve.com/courbes2d/isochron/isochrone%20leibniz. Diarsipkan dari versi asli tanggal 14 November 2004. Tidak memiliki atau tanpa
|title=(bantuan) - ^ https://web.archive.org/web/20041113201905/http://www.mathcurve.com/courbes2d/isochron/isochrone%20varignon. Diarsipkan dari versi asli tanggal 13 November 2004. Tidak memiliki atau tanpa
|title=(bantuan) - ^ Ferreol, Robert. "Spirale de Galilée". www.mathcurve.com.
- ^ Weisstein, Eric W. "Seiffert's Spherical Spiral". mathworld.wolfram.com.
- ^ Weisstein, Eric W. "Slinky". mathworld.wolfram.com.
- ^ "Monkeys tree fractal curve". Diarsipkan dari versi asli tanggal 21 September 2002.
- ^ WOLFRAM Demonstrations Project http://demonstrations.wolfram.com/SelfAvoidingRandomWalks/#more. Diakses tanggal 14 June 2019. Tidak memiliki atau tanpa
|title=(bantuan) - ^ Weisstein, Eric W. "Hedgehog". mathworld.wolfram.com.
- ^ "Courbe De Ribaucour" [Ribaucour curve]. mathworld.wolfram.com.