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Everything about Pentagonal tiling
Tiling of the plane by pentagons
In geometry, a pentagonal tiling is a tiling of the plane where each individual piece is in the shape of a pentagon. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Pentagonal tilingA 5-minute orientation
- Skim a recent paper: Type-1 Pentagonal Tiling Realized in 2D Penta-SrP2 SheetInfluential work since 2022
- Pick up a classic book: Operations ManagementThe most-reprinted book on the subject
- Read the landmark paper: Quasicrystal approximants in isoreticular metal-organic frameworks via Cairo pentagonal tilingCited 42 times
- Go sideways: Hexagonal tilingA closely related topic
- Go sideways: Isotoxal figureA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Quasicrystal approximants in isoreticular metal-organic frameworks via Cairo pentagonal tiling
Molecular pentagonal tiling: self-assemblies of pentagonal-shaped macrocycles at liquid/solid interfaces
A “regular” pentagonal tiling of the plane
A pentagonal quasiperiodic tiling with fractal acceptance domain
Gear-Meshed Tiling of Surfaces with Molecular Pentagonal Stars
Pentagonal tiling with buckybowls: pentamethylcorannulene on Cu(111)
Isoperimetric Pentagonal Tilings
Tangency properties of a pentagonal tiling generated by a piecewise isometry
🆕 Influential since 2022
Type-1 Pentagonal Tiling Realized in 2D Penta-SrP2 Sheet
Inflation rules for a chiral pentagonal quasiperiodic tiling of stars and hexes
A Pentagonal Number Theorem for Tribone Tilings
Proof Without Words: Hex and Nonagonal Numbers Relationship via the Floret Pentagonal Tiling
Integral Tiling Pentagons
📚 Books worth reading
Operations ManagementRoberta S. Russell, Bernard Taylor · 1998
Shaped beadwork & beyondDiane Fitzgerald · 2013
Alt.FractalsEric Baird · 2011
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…
- Isotoxal figure In geometry, a polytope (for example, a polygon or a polyhedron) or a tiling is isotoxal (from Greek τόξον 'arc') or edge-transitive if its symmetries…
- Elongated triangular tiling In geometry, the elongated triangular tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex.…
- Tessellation A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In…
- Cairo pentagonal tiling In geometry, a Cairo pentagonal tiling is a tessellation of the Euclidean plane by congruent convex pentagons, formed by overlaying two tessellations of…
- 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…
- Planigon In geometry, a planigon is a convex polygon that can fill the plane with only copies of itself (isotopic to the fundamental units of monohedral tessellations)…
- Anisohedral tiling In geometry, a shape is said to be anisohedral if it admits a tiling, but no such tiling is isohedral (tile-transitive); that is, in any tiling by that…