Category:Uniform tilings
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In geometry, a uniform tiling is a tessellation of the plane (or n–dimensional space) by regular polygon faces (or n–polytopes) with the restriction of being vertex-uniform.
Tiling is vertex-uniform if, loosely speaking, all its vertices are the same. That implies that each vertex is surrounded by the same kinds of face in the same or reverse order, and with the same angles between corresponding faces.
Uniform tilings can exist in both the Euclidean space and hyperbolic space. Uniform tilings are related to the finite uniform polyhedra which can be considered uniform tilings of the sphere.
Subcategories
This category has the following 15 subcategories, out of 15 total.
Media in category "Uniform tilings"
The following 81 files are in this category, out of 81 total.
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1-Uniform 3.png 201 × 201; 5 KB
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11-Uniform Tiling OSTC.svg 400 × 400; 18 KB
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12-Uniform Tiling O3STD.svg 400 × 400; 18 KB
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2-Uniform Tiling 20 Colored by Regular Polygon Orbits.svg 831 × 831; 70 KB
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3 Inset to D.gif 201 × 201; 6 KB
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3 Inset to SH.gif 201 × 201; 6 KB
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3-uniform 26 with dodecagons.png 760 × 760; 56 KB
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3-uniform n57 dual.svg 1,000 × 992; 50 KB
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4-uniform n29.png 785 × 606; 36 KB
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7-Krotenheerdt Co-Uniform 3STIrCB Tiling (16px).png 1,180 × 664; 71 KB
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7-Krotenheerdt Co-Uniform 3STIrCB Tiling.svg 831 × 831; 86 KB
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All Good Regular Polygons and Vertex Regular Polygons (Dark).png 3,200 × 1,000; 91 KB
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Ambo of Fundamental Circle Packings.png 5,120 × 4,800; 850 KB
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Ambo Operation of 2-Uniform 3.3.4.3.4 and 3.3.3.4.4 II.png 2,560 × 2,560; 464 KB
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Ambo Operation on 2-Uniform 3.3.4.3.4 and 3.3.3.4.4.png 2,560 × 2,560; 393 KB
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Ambo Operation on 2-Uniform 3.4.6.12.png 2,560 × 2,560; 273 KB
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Ambo Operation on Uniform 7 Krotenheerdt 2 Tiling.png 2,560 × 2,560; 377 KB
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Asymptote Diagrams of Four Semiplanigons.png 10,000 × 2,240; 517 KB
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Cairo-Prismatic Towers Radial Ambo Polygons 1.png 5,120 × 5,120; 1.01 MB
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Circle Packing of 2-Uniform 3.3.4.3.4 and 3.3.3.4.4 II.png 2,560 × 2,560; 387 KB
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Circle Packing of 2-Uniform 3.3.4.3.4 and 3.3.3.4.4.png 2,560 × 2,560; 197 KB
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Circle Packing of 2-Uniform 3.4.6.12.png 2,560 × 2,560; 182 KB
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Circle Packing of Uniform 7 Krotenheerdt 2 Tiling.png 2,560 × 2,560; 202 KB
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Co-Uniform Correctly Colored.png 1,290 × 27,312; 12.89 MB
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Distorted truncated square tiling 3.svg 1,000 × 978; 19 KB
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Distorted truncated square tiling 4.svg 1,000 × 978; 19 KB
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Dual of Planar Tiling (Uniform Three 1) 3.426; 3.6.3.6; 4.6.12.png 2,560 × 2,560; 199 KB
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Dual of Planar Tiling (Uniform Three 13) Branched Island Pods.png 2,560 × 2,560; 265 KB
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Dual of Planar Tiling (Uniform Three 14) Alternating Petals.png 2,560 × 2,560; 247 KB
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Dual of Planar Tiling (Uniform Three 15) Expanded Snub Square with Hexagon.png 2,560 × 2,560; 386 KB
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Dual of Planar Tiling (Uniform Three 17) Snub Expanded 1 Square.png 2,560 × 2,560; 235 KB
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Dual of Planar Tiling (Uniform Three 18) Multi Square Slab Offset.png 2,560 × 2,560; 201 KB
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Dual of Planar Tiling (Uniform Three 19) Multi Square Slab Onset.png 2,560 × 2,560; 200 KB
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Dual of Planar Tiling (Uniform Three 20) Single Square Slab Offset.png 2,560 × 2,560; 221 KB
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Dual of Planar Tiling (Uniform Three 21) Single Square Slab Onset.png 2,560 × 2,560; 220 KB
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Dual of Planar Tiling (Uniform Three 22) Thin Filled Hexagon Slab.png 2,560 × 2,560; 304 KB
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Dual of Planar Tiling (Uniform Three 23) Gryotrihexagonal Tiling Slab Offset.png 2,560 × 2,560; 99 KB
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Dual of Planar Tiling (Uniform Three 24) Gryotrihexagonal Tiling Slab Onset.png 2,560 × 2,560; 268 KB
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Dual of Planar Tiling (Uniform Three 25) One-Layer Hexagon Slab.png 2,560 × 2,560; 280 KB
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Dual of Planar Tiling (Uniform Three 26) Hexagon with Triangle Ribbon Frame.png 2,560 × 2,560; 413 KB
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Dual of Planar Tiling (Uniform Three 27) Encased Rhombi.png 2,560 × 2,560; 159 KB
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Dual of Planar Tiling (Uniform Three 3) Final Project 42.png 2,560 × 2,560; 182 KB
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Dual of Planar Tiling (Uniform Three 4) 3.4.3.12; 3.4.6.4; 3.122.png 2,560 × 2,560; 277 KB
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Dual of Planar Tiling (Uniform Three 5) 3342; 324.12; 3.4.6.4.png 2,560 × 2,560; 175 KB
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Dual of Planar Tiling (Uniform Three 8) Almost Popcorn.png 835 × 835; 46 KB
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Dual of Planar Tiling Final Project 33 (Uniform Four 211).png 2,560 × 2,560; 223 KB
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Dual of Planar Tiling Final Project 67.png 2,560 × 2,560; 333 KB
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Dual of Uniform 7 Krotenheerdt 2 Tiling.png 2,560 × 2,560; 322 KB
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Duaux-hexagonaladouci-fleurshexagonales.png 500 × 500; 69 KB
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Final Planar Tiling Project (30 Tiles).png 14,916 × 720; 10.1 MB
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Fundamental Circle Packings (Better).png 676 × 750; 40 KB
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Fundamental Circle Packings.png 5,120 × 4,800; 702 KB
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H2 tiling 23j-7 animation.gif 800 × 800; 523 KB
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Hexagonal hemiapeirogonal tesselation (three color).svg 600 × 600; 6 KB
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Hexagonal hemiapeirogonal tesselation with red apeirogon.svg 600 × 600; 9 KB
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Hexagonal tiling vertex arrangement 2-color.svg 220 × 220; 12 KB
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Hyper 4.4.4.3.3.3a.png 1,242 × 1,210; 78 KB
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Infinite prism alternating.svg 800 × 350; 797 bytes
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Infinite prism tiling2.png 1,520 × 783; 7 KB
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Infinite-order apeirogonal tiling and dual.png 2,525 × 2,525; 372 KB
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Order-6 hexagonal tiling and dual.png 2,533 × 2,533; 543 KB
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Order-7 triangular tiling petrie polygon.png 927 × 925; 101 KB
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Rectified square tiling.svg 283 × 283; 5 KB
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Square hemiapeirogonal tesselation (type 1).svg 283 × 283; 4 KB
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Square hemiapeirogonal tesselation (type 2).svg 283 × 283; 4 KB
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Trigonal hemiapeirogonal tesselation (two color).svg 600 × 600; 6 KB
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Trigonal hemiapeirogonal tesselation with red apeirogon.svg 600 × 600; 9 KB
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Trihexagonal tiling unequal2.svg 1,270 × 1,221; 1 KB
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Uniform 4 Jewelry Circle Packing.png 2,560 × 2,560; 207 KB
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Uniform 7 Krotenheerdt 2 Tiling.png 2,560 × 2,560; 265 KB
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Uniform Tiling Edge and Area Unit Density.png 607 × 301; 11 KB
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Uniform Tiling Unit Polygon Density.png 1,256 × 623; 35 KB
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Uniform-star-tiling-9393s.svg 1,000 × 883; 13 KB
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V3.12.12 Rotated.png 195 × 337; 2 KB
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V3.3.3.4.4 Planigon.png 105 × 113; 634 bytes
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V3.3.4.3.4 Rotated.png 124 × 113; 812 bytes
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V3.4.6.4 Rotated.png 143 × 124; 920 bytes
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V3.6.3.6 Rotated.png 105 × 181; 1 KB
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V4.6.12 Rotated.png 143 × 247; 1 KB
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V4.8.8 Rotated.png 179 × 179; 1 KB
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Vertex Regular Polygons in Ambo Circle Packings.png 4,800 × 2,400; 538 KB