Category:Polyhedra
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English: A polyhedron is a geometric shape which in mathematics is defined by three related meanings. In the traditional meaning it is a 3-dimensional polytope, and in a newer meaning that exists alongside the older one it is a bounded or unbounded generalization of a polytope of any dimension. Further generalizing the latter, there are topological polyhedra.
Deutsch: Ein Polyeder, auch Vielflächner oder Ebenflächner genannt, ist ein Körper, der durch ebene Polygone begrenzt wird.
Français : Un polyèdre est un solide délimité par des faces polygonales. Chaque côté de chaque polygone constituant une face coïncide avec un côté d'une autre face et chaque sommet est relié à un autre par une suite d'arêtes dont deux arêtes consécutives sont reliées par un sommet.
Português: Um poliedro é uma forma geométrica definida por três significados relacionados. Em um sentido tradicional, é um polítopo de 3 dimensões. Em um significado mais novo, co-existindo com o anterior, ele é limitado por generalizações de um polítopo de qualquer dimensão.
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Subcategories
This category has the following 23 subcategories, out of 23 total.
C
D
- Degenerate polyhedra (6 F)
G
J
N
P
R
- Rectified antiprism (14 F)
- Rectified prisms (10 F)
S
- Schwarz lantern (4 F)
- Symmetrohedron tiling (5 F)
T
V
📚
Media in category "Polyhedra"
The following 200 files are in this category, out of 713 total.
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1,4-二側錐七角柱.svg 510 × 482; 5 KB
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1-4-二側錐八角柱.svg 567 × 482; 6 KB
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155 of 'A Treatise on Crystallography' (11015422335).jpg 1,389 × 2,303; 381 KB
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24-facce-d'inviluppo-ellissoide.jpg 662 × 908; 143 KB
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3-cube.png 1,910 × 1,664; 150 KB
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3D model of a Stellated Octahedron.stl 5,120 × 2,880; 484 bytes
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3DPiramides.png 367 × 208; 5 KB
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4-simplex honeycomb verf.png 212 × 209; 22 KB
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5 cubohemioctahedra neo filling.png 1,200 × 1,200; 420 KB
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5 great rhombihexahedra neo filling.png 1,200 × 1,200; 661 KB
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5 octahemioctahedra neo filling.png 1,200 × 1,200; 611 KB
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5 thah in icosidodecahedron.png 1,000 × 1,000; 320 KB
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5-трапецоедр..png 308 × 523; 67 KB
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A 3D Sphere.stl 5,120 × 2,880; 1.81 MB
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A convex monohedral polyhedron of type 4.jpg 4,500 × 2,532; 361 KB
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A monohedral polyhedron of type 3 with genus 1 with 28 vertices, 84 edges and 56 faces.jpg 4,500 × 2,532; 5.46 MB
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A nonconvex monohedral polyhedron of type 4 with 26 vertices, 24 faces and 48 edges.jpg 4,500 × 2,532; 1.94 MB
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A nonconvex monohedral polyhedron of type 4 with 74 vertices, 72 faces and 144 edges.jpg 9,000 × 5,064; 15.4 MB
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A solid collection (1392884075).jpg 800 × 600; 113 KB
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A3 polyhedra ortho.png 419 × 154; 26 KB
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Abbildung Prisma.jpg 1,451 × 1,451; 160 KB
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Abc - xyz.png 348 × 407; 63 KB
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Althalfcell-frame.png 626 × 472; 64 KB
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Alunite.png 284 × 200; 4 KB
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Ander piramides.png 624 × 169; 32 KB
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Ander prismas.png 596 × 196; 38 KB
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Anglesite.png 100 × 74; 5 KB
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Anim troncature icosaèdre.gif 748 × 778; 151 KB
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Annoviaivo 5 & 15 for annotations.png 1,280 × 800; 80 KB
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Annoviaivo 5 annotations.png 1,001 × 700; 36 KB
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Annular faces.png 801 × 1,341; 36 KB
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Antilogaritmico.jpg 1,133 × 931; 83 KB
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Augmented cube.stl 5,120 × 2,880; 1 KB
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Augmented octahedron.png 486 × 644; 55 KB
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Augmented triangular cupola.png 1,112 × 928; 193 KB
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Axinite 1.png 327 × 326; 3 KB
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Azurite 1.png 493 × 309; 4 KB
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Ball-5.png 576 × 696; 142 KB
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Ball.png 576 × 696; 160 KB
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Biaugmented tetrahedron.png 725 × 670; 23 KB
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Bicube.svg 640 × 640; 13 KB
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Bilunabirotunda augmented cube.png 1,000 × 1,000; 78 KB
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Bisymmetric hendecahedron.stl 5,120 × 2,880; 984 bytes
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Bitruncated 5-simplex verf.png 585 × 642; 26 KB
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Brachydiagonales Doma.png 174 × 117; 13 KB
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Branch-and-bound-polytopes.png 844 × 699; 13 KB
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Britannica Diamond 1-4.jpg 519 × 132; 14 KB
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Britannica Diopside.jpg 169 × 302; 36 KB
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Burtyka sixteen polyhedron.png 467 × 725; 281 KB
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Burtyka twenty-faceted polyhedron.png 736 × 979; 204 KB
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Burtykon - the letter of the Genetic alphabet.png 1,243 × 524; 34 KB
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Cantellated great dodecahedron.png 833 × 818; 40 KB
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Cantellated great icosahedron vf.png 960 × 881; 32 KB
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Cantic cube.png 755 × 720; 18 KB
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Cantic snub hexagonal hosohedron.png 770 × 687; 17 KB
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Cantic snub hexagonal hosohedron2.png 612 × 542; 12 KB
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Cantic snub octagonal hosohedron.png 833 × 607; 21 KB
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Cantic snub octahedron(colorless).png 194 × 193; 44 KB
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Chamfered cube wood.jpg 301 × 303; 33 KB
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Clasificación de Poliedro.jpg 8,730 × 6,057; 2.52 MB
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Co3.png 339 × 290; 6 KB
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Complex rhombidodecadodecahedron.svg 500 × 500; 17 KB
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Compound of five hemi facetted cube and its dual.png 4,646 × 4,499; 1.71 MB
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Compound skew hexagon in hexagonal prism.png 807 × 726; 38 KB
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Compound skew hexagon in pentagonal crossed antiprism.png 1,878 × 1,571; 170 KB
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Compound skew square in cube.png 665 × 600; 22 KB
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Compound three digonal antiprisms.png 1,754 × 1,852; 493 KB
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Compound three triangular antiprisms.png 2,000 × 2,000; 515 KB
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Compound two hexagonal antiprisms.png 1,952 × 1,559; 467 KB
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Compound two square antiprisms.png 1,789 × 1,710; 478 KB
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Conjunto de Aristas Imaginarias del ultra Dodecaedro Leonardiano.jpg 2,896 × 1,944; 2.51 MB
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Conjuntos de Aristas Imaginarias del Pequeño Dodecaedro de Cayley.jpg 2,896 × 1,944; 2.5 MB
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Conjuntos de aristas imaginarias del Pequeño Dodecaedro de Kepler y Poinsot.jpg 2,896 × 1,944; 2.39 MB
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Conway dk6tO.png 3,000 × 3,000; 1.33 MB
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Conway k10tD.png 3,000 × 3,000; 1.47 MB
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Conway k6tO.png 3,000 × 3,000; 1.05 MB
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Conway k6tT.png 3,000 × 3,000; 1.22 MB
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Conway k8tC.png 2,913 × 2,904; 1.35 MB
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Coxeter helix.png 1,115 × 411; 16 KB
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Cristal de magnetita.png 166 × 154; 11 KB
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Cube 3x3x1+1.png 2,000 × 2,000; 53 KB
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Cube 3x3x2-1.png 2,000 × 2,000; 65 KB
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Cube Fundamental Domains01 RK01.svg 704 × 709; 3 KB
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Cubic elongated tetragonal disphenoid.png 822 × 868; 26 KB
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Cubic polyhedron with holed-faces.png 1,395 × 1,376; 85 KB
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Cubo Euler.svg 695 × 78; 14 KB
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Cubo Teorema Euler.svg 840 × 118; 59 KB
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Cuboedro de Joel Vertices Poliedricos.jpg 9,200 × 6,280; 2.01 MB
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Cuboid skew-orthogonal-frame.png 1,225 × 798; 31 KB
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Cuboid skew-orthogonal-solid.png 1,199 × 810; 29 KB
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Cuthalf-ten-of-diamonds-frame.png 881 × 665; 99 KB
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Cuthalf-ten-of-diamonds-net.png 863 × 654; 19 KB
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Cuthalf-ten-of-diamonds-solid.png 782 × 614; 67 KB
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Cuthalf-ten-of-diamonds-solid1.png 883 × 665; 81 KB
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Cuthalf-ten-of-diamonds-solid2.png 884 × 664; 62 KB
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Cutting plane algorithm.png 844 × 699; 15 KB
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Deformed small hexagonal hexecontahedron.png 846 × 862; 156 KB
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Deltoid-rhombic enneacontahedron constructed by dodecahedron.svg 400 × 400; 18 KB
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Deltoid-rhombic enneacontahedron.svg 415 × 415; 17 KB
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Deltoidal Hexacontahedron Hulls.svg 496 × 817; 523 KB
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Deltoidal tetracontaoctahedron.png 413 × 405; 13 KB
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Digonal anticupola-trans.png 1,203 × 1,000; 143 KB
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Digonal anticupola.png 686 × 632; 138 KB
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Digonal disphenoid diagram2.png 158 × 127; 7 KB
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Digonal gyrobianticupola.png 1,200 × 1,200; 35 KB
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Diminished quasirhombicosidodecahedron.png 1,200 × 1,200; 525 KB
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Disdyakis enneacontahexahedron.png 418 × 414; 17 KB
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DNA chain from Burtyka polyhedra.png 746 × 925; 226 KB
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Dodecadodecahedron equator.png 1,200 × 1,200; 489 KB
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Dodecaedro Ultra Estrellado Leonardiano.jpg 2,896 × 1,944; 2.59 MB
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Dodecahedral prism net.png 1,200 × 1,200; 230 KB
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DodekaF4Subdiv.png 1,135 × 1,005; 28 KB
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Doicosahedron from icosahedron.svg 482 × 454; 6 KB
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DormanLuke.png 682 × 324; 14 KB
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Double diminished icosahedron.png 973 × 917; 159 KB
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Double wrapped octagonal prism.png 893 × 668; 149 KB
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Double-ten-of-diamonds-frame.png 649 × 666; 113 KB
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Double-ten-of-diamonds-frame1.png 637 × 669; 94 KB
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Double-ten-of-diamonds-frame2.png 698 × 668; 43 KB
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Double-ten-of-diamonds-frame3.png 665 × 666; 41 KB
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Double-ten-of-diamonds-frame4.png 603 × 668; 88 KB
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Double-ten-of-diamonds-net.png 697 × 668; 25 KB
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Double-ten-of-diamonds-solid.png 638 × 666; 79 KB
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Dr Fleuron T133639-58.png 2,034 × 931; 146 KB
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Dual crossed pentagrammic cupola.png 1,200 × 850; 197 KB
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Dual diminished rhombic dodecahedron net.png 1,199 × 1,023; 40 KB
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Dual diminished rhombic dodecahedron.png 1,100 × 1,186; 252 KB
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Dual hexagonal gyrobianticupola.png 1,200 × 1,200; 39 KB
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Dual of augmented sphenocorona.svg 737 × 680; 5 KB
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Dual of biaugmented triangular prism.svg 380 × 350; 3 KB
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Dual of bilunabirotunda.svg 567 × 510; 5 KB
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Dual of disphenocingulum.svg 624 × 624; 7 KB
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Dual of Gyrate rhombicosidodecahedron.png 705 × 690; 26 KB
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Dual of hebesphenomegacorona.svg 652 × 567; 6 KB
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Dual of hemi facetted cube.svg 460 × 460; 14 KB
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Dual of heptagonal gyrobirotunda.svg 425 × 539; 13 KB
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Dual of heptagonal orthobirotunda.svg 425 × 539; 14 KB
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Dual of hexagonal gyrobirotunda.svg 454 × 539; 12 KB
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Dual of hexagonal orthobirotunda.svg 425 × 510; 12 KB
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Dual of Icosihedral dXddelta.png 500 × 500; 102 KB
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Dual of metabigyrate rhombicosidodecahedron.png 620 × 615; 20 KB
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Dual of parabigyrate rhombicosidodecahedron.png 615 × 619; 20 KB
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Dual of pentagonal gyrobicupola.svg 510 × 340; 7 KB
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Dual of pentagonal orthobirotunda.svg 482 × 510; 10 KB
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Dual of pentahexagonal pyritoheptacontatetrahedron.svg 510 × 510; 19 KB
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Dual of rhombic icosahedron.svg 539 × 425; 7 KB
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Dual of snub disphenoid.png 1,218 × 838; 32 KB
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Dual of sphenocorona.svg 680 × 709; 4 KB
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Dual of sphenomegacorona.svg 765 × 624; 5 KB
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Dual of square gyrobirotunda.svg 425 × 482; 8 KB
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Dual of square orthobirotunda.svg 454 × 482; 8 KB
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Dual of triangular hebesphenorotunda.svg 652 × 680; 7 KB
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Dual of trigyrate rhombicosidodecahedron.png 616 × 635; 21 KB
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Dual pentagonal gyrobianticupola.png 1,200 × 1,200; 38 KB
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Dual pentakis truncated icosahedron.png 1,200 × 1,200; 119 KB
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Dual square gyrobianticupola.png 1,200 × 1,200; 45 KB
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Dual Symmetrohedron I(*;2;3;e).svg 503 × 511; 5 KB
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Dual triangular gyrobianticupola.png 1,200 × 1,200; 31 KB
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Dual-ten-of-diamonds-frame.png 678 × 669; 59 KB
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Dual-ten-of-diamonds-solid.png 668 × 669; 50 KB
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Dualidad.jpg 378 × 432; 43 KB
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Dyakis dodecahedron beside its dual.png 896 × 467; 87 KB
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Düzgün ve Yarı Düzgün Çok Yüzlüler Tablosu.jpg 2,953 × 4,134; 2.07 MB
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E-dodecahedron.png 736 × 1,052; 109 KB
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ECA Degree Show (18294190216).jpg 2,259 × 3,388; 597 KB
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Echidnahedron with enneagram face.png 798 × 799; 291 KB
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Edges-and-vertices-in-the-solid-figure jp.svg 750 × 800; 43 KB
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Eight-cube-nonoriented polyhedron.gif 720 × 720; 3.46 MB
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El dodecaedro Alicber.jpg 2,896 × 1,944; 2.11 MB
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El Dodecaedro Leonardiano Especial.jpg 2,896 × 1,944; 2.44 MB
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El gran tetraedro Leonardiano hueco.jpg 791 × 618; 59 KB
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Ellipsoid-method.png 830 × 496; 11 KB
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Elonagated decagonal trapezohedron net.png 2,000 × 2,000; 73 KB
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Elonagated decagonal trapezohedron.png 2,000 × 2,000; 190 KB
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Elonagated dodecagonal trapezohedron net.png 2,000 × 2,000; 72 KB
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Elonagated dodecagonal trapezohedron.png 2,000 × 2,000; 188 KB
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Elonagated hexagonal trapezohedron net.png 2,000 × 2,000; 34 KB
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Elonagated hexagonal trapezohedron.png 2,000 × 2,000; 377 KB
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Elonagated octagonal trapezohedron net.png 2,000 × 2,000; 39 KB
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Elonagated octagonal trapezohedron.png 2,000 × 2,000; 301 KB
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Elonagated pentagonal trapezohedron net.png 2,000 × 2,000; 40 KB
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Elonagated pentagonal trapezohedron.png 1,339 × 1,865; 326 KB
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Elonagated square trapezohedron.png 2,000 × 2,000; 562 KB
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Elongated digonal cupola.png 954 × 1,174; 103 KB
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Elongated digonal gyrobicupola.png 678 × 1,191; 51 KB
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Elongated digonal gyrobicupola2.png 829 × 1,337; 43 KB
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Elongated digonal gyrobicupola3.png 639 × 665; 24 KB
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Elongated digonal orthobicupola.png 675 × 1,124; 49 KB