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Everything about Triangular tiling
Regular tiling of the plane
In geometry, the triangular tiling or triangular tessellation is one of the three regular tilings of the Euclidean plane, and is the only such tiling where the constituent shapes are not parallelogons. Because the internal angle of the equilateral triangle is 60 degrees, six triangles at a point occupy a full 360 degrees. The triangular tiling has Schläfli symbol of {3,6}. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Triangular tilingA 5-minute orientation
- Skim a recent paper: Computing the minimal perimeter polygon for digital objects in the triangular tilingInfluential work since 2022
- Pick up a classic book: The architecture of Leon Batista Alberti. In ten books. Of painting. In three books. And of statuary. In one book. Translated into Italian by Cosimo Bartoli. And into English by James Leoni, ... Illustrated with seventy-five copper-plates, engraved by Mr. Picart. In one volumeThe most-reprinted book on the subject
- Read the landmark paper: Periodic tiling of triangular and square nanotubes in a cationic metal–organic framework for selective anion exchangeCited 76 times
- Go sideways: Hexagonal tilingA closely related topic
- Go sideways: List of Euclidean uniform tilingsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Periodic tiling of triangular and square nanotubes in a cationic metal–organic framework for selective anion exchange
Transition between triangular and square tiling patterns in liquid-crystalline honeycombs formed by tetrathiophene-based bolaamphiphiles
Dense Projection Tomography on the Triangular Tiling
Triangular-shaped molecular random tiling and molecular rotation in two-dimensional glassy networks
Tiling groups: New applications in the triangular lattice
Weighted distances and distance transforms on the triangular tiling
Planar Phased Arrays With Irregular Tiling Techniques on Triangular Grids
Properties of plane discrete Poisson-Voronoi tessellations on triangular tiling formed by the Kolmogorov-Johnson-Mehl-Avrami growth of triangular islands
🆕 Influential since 2022
📚 Books worth reading
The architecture of Leon Batista Alberti. In ten books. Of painting. In three books. And of statuary. In one book. Translated into Italian by Cosimo Bartoli. And into English by James Leoni, ... Illustrated with seventy-five copper-plates, engraved by Mr. Picart. In one volumeLeon Battista Alberti, Leone Battista Alberti · 1726
A treasury of knitting patternsBarbara G. Walker · 1968
The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditionsMihai Ciucu · 2009
Programming Game AI by ExampleMat Buckland · 2004- 📕Standard tess-tiles BGeoff Giles
- 📕SymmetryInternational Society for Interdisciplinary Studies of Symmetry. Interdisciplinary Symmetry Congress and Exhibition · 1995
GeonometryRobert Francis Hauck · 2015
Combinatorial Image AnalaysisReneta P. Barneva · 2012
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Hexagonal tiling In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex…
- List of Euclidean uniform tilings This table shows the 11 convex uniform tilings (regular and semiregular) of the Euclidean plane, and their dual tilings. There are three regular and eight…
- Rhombitrihexagonal tiling In geometry, the rhombitrihexagonal tiling is a semiregular tiling of the Euclidean plane. There are one triangle, two squares, and one hexagon on each…
- Truncated hexagonal tiling In geometry, the truncated hexagonal tiling is a semiregular tiling of the Euclidean plane. There are 2 dodecagons (12-sides) and one triangle on each…
- Truncated trihexagonal tiling In geometry, the truncated trihexagonal tiling is one of eight semiregular tilings of the Euclidean plane. There are one square, one hexagon, and one dodecagon…
- Truncated heptagonal tiling In geometry, the truncated heptagonal tiling is a semiregular tiling of the hyperbolic plane. There are one triangle and two tetradecagons on each vertex…
- Snub trihexagonal tiling In geometry, the snub hexagonal tiling (or snub trihexagonal tiling) is a semiregular tiling of the Euclidean plane. There are four triangles and one hexagon…
- Order-6 apeirogonal tiling In geometry, the order-6 apeirogonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {∞,6}. The dual to this tiling represents…