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Geometric shape formed from squares
A polyomino is a plane geometric figure, connected, formed by joining a finite number of unit squares edge-to-edge. It is a polyform whose cells are squares
Polyomino
Geometric shapes formed from squares
A pseudo-polyomino, also called a polyking, polyplet or hinged polyomino, is a plane geometric figure formed by joining one or more equal squares edge-to-edge
Pseudo-polyomino
Geometric shape formed from nine squares
A nonomino (or enneomino or 9-omino) is a polyomino of order 9; that is, a polygon in the plane made of 9 equal-sized squares connected edge to edge.
Nonomino
Shape made from cubes joined together
distinguished, because one cannot turn a polycube over to reflect it as one can a polyomino given three dimensions. In particular, the Soma cube uses both forms of
Polycube
Four squares connected edge-to-edge
nomenclature related to polyominos. Polyominos are formed by joining unit squares along their edges. A free polyomino is a polyomino considered up to congruence
Tetromino
Geometric shape formed from five squares
A pentomino (or 5-omino) is a polyomino of order 5; that is, a polygon in the plane made of 5 equal-sized squares connected edge to edge. The term is
Pentomino
Logic puzzle typically played on a 10×10 board
four cells. The goal is to shade in a tetromino within each pre-printed polyomino in such a way that no two matching tetrominoes are orthogonally adjacent
LITS
Jigsaw shapes. Polyomino – A shape composed of equal sized, side-adjacent squares. Often used for Sudoku region variants. Polyominos are named by size:
Glossary_of_Sudoku
Geometric shape formed from six squares
A hexomino (or 6-omino) is a polyomino of order 6; that is, a polygon in the plane made of 6 equal-sized squares connected edge to edge. The name of this
Hexomino
Geometric shape formed from three squares
A tromino or triomino is a polyomino of size 3, that is, a polygon in the plane made of three equal-sized squares connected edge-to-edge. When rotations
Tromino
Grid-based logic puzzle
two givens with matching number to belong to the same polyomino in the solution, and for a polyomino to have no given at all. It is common practice in solving
Fillomino
Geometric shape formed from two squares
In mathematics, a domino is a polyomino of order 2, that is, a polygon in the plane made of two equal-sized squares connected edge-to-edge. When rotations
Domino_(mathematics)
Geometric shape formed from eight squares
An octomino (or 8-omino) is a polyomino of order 8; that is, a polygon in the plane made of 8 equal-sized squares connected edge to edge. When rotations
Octomino
Geometric shape formed from ten squares
A decomino, or 10-omino, is a polyomino of order 10; that is, a polygon in the plane made of 10 equal-sized squares connected edge to edge. When rotations
Decomino
Tiling puzzle
and adaptable for conversion to and from equivalent jigsaw puzzles and polyomino packing puzzle. The first edge-matching puzzles were patented in the U
Edge-matching_puzzle
Abstract strategy board game whose pieces are polyominoes
Family Games: The 100 Best Domino Four color theorem Pentomino Polyomino Pseudo-polyomino Tetromino Tromino Tetris Goodridge, Michelle; Rohweder, Matthew
Blokus
Mathematical game
game tic-tac-toe, defining the game as a race to complete a particular polyomino (Harary called them "animals") on a grid of squares. It was devised by
Harary's generalized tic-tac-toe
Harary's_generalized_tic-tac-toe
American mathematician (1932–2016)
previously hard-to-find works of Solomon Golomb. Golomb graph Golomb sequence Polyomino Solomon W. Golomb - 2016 Laureate of the Franklin Institute in Electrical
Solomon_W._Golomb
Type of tabletop game using tiles
Colored polyomino tiles in Blokus
Tile-based_game
Geometric shape formed from seven squares
A heptomino (or 7-omino or septomino) is a polyomino of order 7; that is, a polygon in the plane made of 7 equal-sized squares connected edge to edge
Heptomino
Abstract strategy game
first published throughout Europe in 1982. Players place multicoloured polyomino tiles on a game board and flip any of their opponent's pieces adjacent
Domain_(game)
Family of tile-based games
(🀹) tile looks like the domino mask. Despite the coinage of the word "polyomino" as a generalization, there is no connection between the word "domino"
Dominoes
Former time zone in Ireland (1880–1916)
Ireland "Statutes (Definition of Time) Act, 1880 (43 & 44 Vict. c. 9)". www.polyomino.org.uk. Retrieved 16 March 2024. Time (Ireland) Act, 1916 (6 & 7 Geo.
UTC−00:25:21
2007 Logic puzzle published by Nikoli
according to these rules: Every polyomino must contain the consecutive integers from 1 to the quantity of cells in that polyomino inclusive. If two identical
Ripple_Effect_(puzzle)
Fractal constructible with L-systems
following curve: A discrete dragon curve can be converted to a dragon polyomino as shown. Like discrete dragon curves, dragon polyominoes approach the
Dragon_curve
Mathematical problem set on a chessboard
generalized to rectangular m×n boards, or even to boards in the shape of any polyomino. A restricted form of the problem for m×n boards, where n≤8 and m might
Longest uncrossed knight's path
Longest_uncrossed_knight's_path
Japanese singer-songwriter (born 1987)
Festival Asia Singapore in November 2014. Yanagi's second solo album Polyomino (ポリオミノ) was released on December 10, 2014. Her ninth single "Sweet Track"
Nagi_Yanagi
Natural number
squares (not necessarily of unit size) can be found in a staircase-shaped polyomino formed by stacks of unit squares of heights ranging from 1 to 12. 203
203_(number)
Shapes made from regular line segments
the end of every line segment can be replaced with a single square of a polyomino. For example, the set of tristicks is equivalent to the set of Tetrominos
Polystick
Shape with four equal sides and angles
polygons, as does the Chinese tangram. Another set of puzzle pieces, the polyominos, are formed from squares glued edge-to-edge; in this context, a single
Square
Quadrilateral with sides of equal length
(lit. "squares") in French. In the context of polyiamonds, shapes like polyominos but constructed from equilateral triangles, a diamond is a rhombus with
Rhombus
Polyform whose base form is an equilateral triangle
polyiamond (also polyamond or simply iamond, or sometimes triangular polyomino) is a polyform whose base form is an equilateral triangle. The word polyiamond
Polyiamond
Problems which attempt to find the most efficient way to pack objects into containers
numbers p, q, r (i.e., the box is a multiple of the brick.) The study of polyomino tilings largely concerns two classes of problems: to tile a rectangle
Packing_problems
On surrounding polygons by layers of copies
The smallest polyomino (a nonomino) with Heesch number 2 (black) surrounded by its first (red) and second coronas (amber)
Heesch's_problem
Formula for area of a grid polygon
(by matching up pairs of squares along each edge of the polygon) into a polyomino with the same area. Pick's theorem may also be proved based on complex
Pick's_theorem
and capable of conversion to and from equivalent jigsaw puzzles and polyomino packing puzzle. Three-dimensional edge-matching puzzles are not currently
Three-dimensional edge-matching puzzle
Three-dimensional_edge-matching_puzzle
2008 video game
traditional 15-level game with larger blocks, a smaller playfield and new polyominos such as a three-block line, a two-block line and a small three-block L-shape
Tetris_Party
Edge-matching puzzle
Erik D. Demaine, Martin L. Demaine. "Jigsaw Puzzles, Edge Matching, and Polyomino Packing: Connections and Complexity" (PDF). Retrieved 12 August 2007.
Eternity_II_puzzle
Regular tiling of the Euclidean plane
OpenStructures, design pattern consisting of four squares around every vertex Polyomino Conway, John H.; Burgiel, Heidi; Goodman-Strauss, Chaim (2008). The Symmetries
Square_tiling
Aspect of mathematical group theory
Secret Blogging Seminar https://web.archive.org/web/20071227060045/http://polyomino.f2s.com/david/haskell/outers6.html Some Thoughts on the Number 6, by John
Automorphisms of the symmetric and alternating groups
Automorphisms_of_the_symmetric_and_alternating_groups
American puzzle maker
ISBN 9780966636123.{{cite book}}: CS1 maint: others (link) "What's New in Polyomino Puzzles and Their Design". Mathematical Properties of Sequences and Other
Stewart_Coffin
French mathematician (born 1967)
in 1991, with a dissertation on the enumeration of orthogonally convex polyominos supervised by Viennot. She joined CNRS as a junior researcher in 1990
Mireille_Bousquet-Mélou
Decomposition of an integer as a sum of positive integers
adjacent squares joined together, Young diagrams are a special kind of polyomino. The partition function p ( n ) {\displaystyle p(n)} counts the partitions
Integer_partition
Mathematical game
paper. For example, it can be played on a 6×6 square, a rectangle, a polyomino, or a combination of any number of such components. Two players have a
Domineering
2023 South Korean television program
main match is played on a 30x30 grid. Players play take turns selecting polyominos to add to their territory. Each piece must touch one of their existing
The_Devil's_Plan
Shape with the same area and perimeter
square and the 3 × 6 rectangle. An integer rectangle is a special type of polyomino, and more generally there exist polyominoes with equal area and perimeter
Equable_shape
Mathematics book
parallelogon, §9.2 non-convex polygon tilings, §9.3 anisohedral tiling, §9.4 polyomino, heptomino, polyiamond, polyhex, §9.5 Voderberg tiling, §9.6 Marjorie
Tilings_and_patterns
Covering by shapes without overlaps or gaps
to tile a plane. For results on tiling the plane with polyominoes, see Polyomino § Uses of polyominoes. Voronoi or Dirichlet tilings are tessellations
Tessellation
Partition of a polygon into triangles of equal area
to trapezoids, kites, regular polygons, centrally symmetric polygons, polyominos, and hypercubes. Equidissections do not have many direct applications
Equidissection
2006 children's book by Blue Balliett
original on July 8, 2011. Retrieved March 9, 2011. "Gamepuzzles Annual Polyomino Excellence Award for 2006 — to Blue Balliett". Kaden Enterprises. 2006
The_Wright_3
Shape formed from isosceles right triangles
56, 198, 624, 2182, 7448, … (sequence A151519 in the OEIS). As for a polyomino, a polyabolo that can be neither turned over nor rotated may be termed
Polyabolo
Defunct computer music hardware company
high and dry again... https://twitter.com/polyomino (david van brink) https://handmade.network/m/polyomino ,Hello! (Tiny intro -- I'm David Van Brink
Decillionix
P. Akrobotu, S. Kitaev, and Z. Masárová. On word-representability of polyomino triangulations. Siberian Adv. Math. 25 (2015), 1−10. B. Broere. Word representable
Word-representable_graph
Grid-based word puzzle
(that is, connected in one mass through shared sides, to form a single polyomino). Substantial variants from the usual forms exist. Two of the common ones
Crossword
Optimization problem in mathematics
Demaine, Martin L. (2007-06-01). "Jigsaw Puzzles, Edge Matching, and Polyomino Packing: Connections and Complexity". Graphs and Combinatorics. 23 (1):
Rectangle_packing
Shape subdivided into copies of itself
created by laying equilateral triangles and squares edge-to-edge. If a polyomino is rectifiable, that is, able to tile a rectangle, then it will also be
Rep-tile
Logic puzzle
diagonally). Rule 2: All white cells must be interconnected (form a single polyomino). Rule 3: A number indicates exactly how many painted cells there must
Heyawake
4180B, MR 2734180. Korn, M. (2004), Geometric and algebraic properties of polyomino tilings, Ph.D. thesis, Massachusetts Institute of Technology. Ackerman
Baxter_permutation
Polyform with a regular hexagon as the base form
Tessellation Percolation theory Polyiamond – tilings with equilateral triangles Polyomino – tilings with squares Polycyclic aromatic hydrocarbon – hydrocarbons
Polyhex
Geometry puzzle
whether fewer vertices are possible. Gardner offered a number of polyform (polyomino, polyiamond, and polyhex) solutions, with no holes. 11 squares 12 squares
Tetrad_(geometry_puzzle)
Book on shapes formed from squares
fourth chapter discusses brute-force search methods for searching for polyomino tilings or proving their nonexistence, and the fifth introduces techniques
Polyominoes: Puzzles, Patterns, Problems, and Packings
Polyominoes:_Puzzles,_Patterns,_Problems,_and_Packings
Strongly NP-complete problem in computer science
Demaine, Martin L. (2007-06-01). "Jigsaw Puzzles, Edge Matching, and Polyomino Packing: Connections and Complexity". Graphs and Combinatorics. 23 (S1):
3-partition_problem
2D shape constructed by joining together identical basic polygons
function of n, the number of basic polygons in the polyform. Polycube Polyomino Polyominoid Weisstein, Eric W. "Polyplet". MathWorld. "The Poly Pages"
Polyform
Two-player board game
take turns moving around a time-track board, about which are dispersed polyomino tiles representing fabric. During their turn, they may choose one of three
Patchwork_(board_game)
Number of ways to pair up n objects
shape formed by a collection of n squares in the plane, grouped into a polyomino with a horizontal top edge, a vertical left edge, and a single monotonic
Telephone number (mathematics)
Telephone_number_(mathematics)
American mathematician
Olympiad 1977 (Belgrade, Yugoslavia) Individual Scores, Joseph Myers, polyomino.org.uk, retrieved 2012-08-16. The Mathematical Association of America's
Michael_J._Larsen
Topics referred to by the same term
brand of cookies similar to Oreo or Hydrox Domino (mathematics), the polyomino of order two Domino computer, a computer based on sequences of falling
Domino_(disambiguation)
Tiling forced to use inequivalent tile placements
2007-09-09. John Berglund, Anisohedral Tilings Page Weisstein, Eric W. "Anisohedral Tiling". MathWorld. Joseph Myers, Polyomino, polyhex and polyiamond tiling
Anisohedral_tiling
Ability of artificial intelligence to play different games
Programming Languages and General Players for Abstract Games and Puzzles". www.polyomino.com. Archived from the original on 2002-09-23. Retrieved 2017-11-16. Kowalski
General_game_playing
applications include algorithms for generating the following structures: Polyominos, polyiamond prototiles, and polyhex (mathematics) hydrocarbon molecules
Reverse-search_algorithm
American computer scientist
2001, Moore and John M. Robson showed that the problem of tiling one polyomino with copies of another is NP-complete. Moore has also been active in the
Cristopher_Moore
One can't dissect a square into an odd number of triangles of equal area
symmetric polygons, more generally, do not have odd equidissections, nor do polyominos. The theorem can be generalized to higher dimensions: an n-dimensional
Monsky's_theorem
Logic problem, AND of pairwise ORs
problem that has been frequently studied, the shape to be recovered is a polyomino (a subset of the squares in the two-dimensional square lattice), and the
2-satisfiability
1999 book in ethnomathematics
connect to the theory of Euler tours, fractals, arithmetic series, and polyominos. The book is aimed at primary and secondary school mathematics teachers
Geometry_From_Africa
Value determined from a polyhedron
aspect ratios are rational multiples of each other. It follows that a polyomino formed from a union of n {\displaystyle n} squares can only be dissected
Dehn_invariant
Graph with a median for each three vertices
or more incident edges, are another subclass of the median graphs. A polyomino is a special case of a squaregraph and therefore also forms a median graph
Median_graph
Planar graph with quadrilateral faces
include as special cases trees, grid graphs, gear graphs, and the graphs of polyominos. As well as being planar graphs, squaregraphs are median graphs, meaning
Squaregraph
POLYOMINO
POLYOMINO
POLYOMINO
POLYOMINO
Boy/Male
Australian, Hebrew, Swedish
Like the Lord; Who Like a God
Boy/Male
Hindu, Indian
True Soul
Boy/Male
Hindu, Indian
Goddess Parvathi
Female
English
Variant spelling of English Edith, EDITHE means "rich battle."
Boy/Male
Indian
The God of Seasons (Rithu)
Surname or Lastname
English
English : variant of Merrill.
Girl/Female
Anglo, British, English, German
Brilliant Sword
Surname or Lastname
English
English : habitational name from a place in Cheshire named Bosley, from the Old English personal name BÅsa or BÅt + lÄ“ah ‘woodland clearing’.Americanized spelling of French Beausoleil, especially in New England.Altered spelling of German Bosler.
Surname or Lastname
English
English : occupational name from the Old English root dÅma, dÄ“ma ‘judge’, ‘arbiter’. Compare Dempster.French : habitational name from Dome in Saône-et-Loire.Hungarian (Döme) : from a pet form of the personal name Demeter.
Male
Basque
, star.
POLYOMINO
POLYOMINO
POLYOMINO
POLYOMINO
POLYOMINO