Live briefing
Everything about Square tiling
Regular tiling of the Euclidean plane
In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane consisting of four squares around every vertex. John Horton Conway called it a quadrille. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Square tilingA 5-minute orientation
- Skim a recent paper: Properties of the Ammann–Beenker Tiling and its Square Periodic ApproximantsInfluential work since 2022
- Pick up a classic book: Goal PlannerThe most-reprinted book on the subject
- Read the landmark paper: Bethe ansatz solution of the square-triangle random tiling modelCited 82 times
- Go sideways: Hexagonal tilingA closely related topic
- Go sideways: Isogonal figureA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Bethe ansatz solution of the square-triangle random tiling model
The square Fibonacci tiling
An Irregular Two-Sizes Square Tiling Method for the Design of Isophoric Phased Arrays
The square-triangle random-tiling model in the thermodynamic limit
Transition between triangular and square tiling patterns in liquid-crystalline honeycombs formed by tetrathiophene-based bolaamphiphiles
Square beams for optimal tiling in transmission electron microscopy
Square Tiling by Square Macrocycles at the Liquid/Solid Interface: Co‐crystallisation with One‐ or Two‐Dimensional Order
The boundary of a square tiling of a graph coincides with the Poisson boundary
🆕 Influential since 2022
Properties of the Ammann–Beenker Tiling and its Square Periodic Approximants
A digital geometry on the tetrakis square tiling—Distance and coarsening
Dual-band topological Bott insulators in Ammann–Beenker-tiling square photonic quasicrystals
Square beams for optimal tiling in TEM
(t, r) broadcast domination numbers and densities of the truncated square tiling graph
📚 Books worth reading
- 📕Goal PlannerMaria Hughes · 2018
- 📕Password JournalMaria Hughes · 2018
- 📕2018-2019 Planner GeometricGeometric Planners · 2018
- 📕2019 Planner GeometricGeometric Planners · 2018
Mathematics for elementary teachersAlbert B. Bennett, L. Ted Nelson · 1992- 📕SketchbookStudio Papyrus · 2018
- 📕Quad Rule 5x5 Graph Paper Notebook. 8 X 10 . 120 Pages. Geometric Shapes CoverT. S. Publishing · 2018
- 📕Lined Journal GeometricGeometric Planners · 2018
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…
- Isogonal figure In geometry, a polytope (e.g. a polygon or polyhedron) or a tiling is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries…
- Triangular tiling 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…
- Uniform tiling In geometry, a uniform tiling is a tessellation of the plane by regular polygon faces with the restriction of being vertex-transitive. Uniform tilings…
- Uniform honeycomb In geometry, a uniform honeycomb or uniform tessellation or infinite uniform polytope, is a vertex-transitive honeycomb made from uniform polytope facets…
- Euclidean tilings by convex regular polygons Tilings of the Euclidean plane by convex regular polygons have been widely used since antiquity. The first systematic mathematical treatment was that of…
- List of k-uniform tilings A k-uniform tiling is a tiling of tilings of the plane by convex regular polygons, connected edge-to-edge, with k types of vertices. The 1-uniform tiling…
- 4-polytope In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope. It is a connected and closed figure…