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Polyform whose base form is an equilateral triangle
Wikimedia Commons has media related to Polyiamonds. A polyiamond (also polyamond or simply iamond, or sometimes triangular polyomino) is a polyform whose
Polyiamond
Polyform with a regular hexagon as the base form
polyiamonds. Also, as an equilateral triangle is a hexagon and three smaller equilateral triangles it is possible to superimpose a large polyiamond on
Polyhex
Constant used in a magic square
shapes on a triangular grid divided into equal polyiamond areas containing equal sums give polyiamond magic constant. The magic constant of an n-pointed
Magic_constant
Shape subdivided into copies of itself
shape and its mirror-image. Some rep-tiles are based on polyforms like polyiamonds and polyominoes, or shapes created by laying equilateral triangles and
Rep-tile
Natural number, composite number
lattice, 14 is also the number of fixed two-dimensional triangular-celled polyiamonds with four cells. 14 is the number of elements in a regular heptagon (where
14_(number)
Quadrilateral with sides of equal length
originally called carreaux (lit. "squares") in French. In the context of polyiamonds, shapes like polyominos but constructed from equilateral triangles, a
Rhombus
Geometric shape formed from squares
"Mathematical Games" column in Scientific American. Related to polyominoes are polyiamonds, formed from equilateral triangles; polyhexes, formed from regular hexagons;
Polyomino
Abstract strategy board game whose pieces are polyominoes
(Protect Yourself) Seal of Excellence". In Blokus Trigon, the pieces are polyiamonds: made up of equilateral triangles, and the board is hexagonal with a
Blokus
Geometric shape formed from five squares
1975). "More about tiling the plane: the possibilities of polyominoes, polyiamonds and polyhexes". Scientific American. 233 (2): 112–115. doi:10
Pentomino
Geometry puzzle
vertices are possible. Gardner offered a number of polyform (polyomino, polyiamond, and polyhex) solutions, with no holes. 11 squares 12 squares 10 triangles
Tetrad_(geometry_puzzle)
Mathematics book
polygon tilings, §9.3 anisohedral tiling, §9.4 polyomino, heptomino, polyiamond, polyhex, §9.5 Voderberg tiling, §9.6 Marjorie Rice 10 Aperiodic tilings
Tilings_and_patterns
Natural number
the 15th prime to divide any number in the sequence. There are 1987 polyiamonds with 12 cells that tile the plane isohedrally. There are 1987 ways to
1987_(number)
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
Covering by shapes without overlaps or gaps
more modern puzzles that often have a mathematical basis. For example, polyiamonds and polyominoes are figures of regular triangles and squares, often used
Tessellation
2D shape constructed by joining together identical basic polygons
Monohedral tessellation Polyform Applications 3 equilateral triangle Deltille Polyiamonds: moniamond, diamond, triamond, tetriamond, pentiamond, hexiamond Blokus
Polyform
Geometric shape formed of right triangles
variant in which the drafter cells cannot all conform to the triangle (polyiamond) grid. The cells are still joined at short legs, long legs, hypotenuses
Polydrafter
Geometric shape formed from eight squares
Rhoads, Glenn C. (2005). "Planar tilings by polyominoes, polyhexes, and polyiamonds". Journal of Computational and Applied Mathematics. 174 (2): 329–353
Octomino
puzzles involving infinite series and the concept of limit 1964 Dec On polyiamonds: shapes that are made out of equilateral triangles 1965 Jan Some comments
List of Martin Gardner Mathematical Games columns
List_of_Martin_Gardner_Mathematical_Games_columns
English mathematician (1937–2020)
Rhoads, Glenn C. (2005). "Planar tilings by polyominoes, polyhexes, and polyiamonds". Journal of Computational and Applied Mathematics. 174 (2): 329–353
John_Horton_Conway
Mathematical invariance under transformations
breaking Symmetry-breaking constraints Symmetric relation Symmetries of polyiamonds Symmetries of polyominoes Symmetry group Wallpaper group For example
Symmetry
Natural number
OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A070765 (Number of polyiamonds with n cells, without holes)". The On-Line Encyclopedia of Integer Sequences
400_(number)
Natural number
2-vertex-connected graphs on five labeled vertices, and 238 order-5 polydiamonds (polyiamonds that can partitioned into 5 diamonds). Out of the 720 permutations of
238_(number)
Geometric shape formed from seven squares
Rhoads, Glenn C. (2005). "Planar tilings by polyominoes, polyhexes, and polyiamonds". Journal of Computational and Applied Mathematics. 174 (2): 329–353
Heptomino
Rule from the theory of the tiling of the plane
Martin. More about tiling the plane: the possibilities of polyominoes, polyiamonds, and polyhexes “Mathematical Games” Scientific American, vol. 233, no
Conway_criterion
include algorithms for generating the following structures: Polyominos, polyiamond prototiles, and polyhex (mathematics) hydrocarbon molecules. Topological
Reverse-search_algorithm
Geometric shape formed from nine squares
Rhoads, Glenn C. (2005). "Planar tilings by polyominoes, polyhexes, and polyiamonds". Journal of Computational and Applied Mathematics. 174 (2): 329–353
Nonomino
Shuffling playing cards Pochhammer symbol Polyforms Polycubes Soma cube Polyiamonds Polyominoes Hexominoes Pentominoes Tetrominoes Polysquare puzzle Projective
Index of combinatorics articles
Index_of_combinatorics_articles
POLYIAMOND
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POLYIAMOND
Girl/Female
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Goddess Paravati
Male
Native American
Native American Hopi name CHOCHOKPI means "throne for the clouds."
Girl/Female
Australian, British, English
Estate on the Ledge
Boy/Male
Arabic
Innocence; Pure
Boy/Male
Muslim
Rest. Repose.
Female
Welsh
Welsh form of Greek Margarites, MARGED means "pearl."
Girl/Female
Arabic, Muslim
Firm of Flush; Sturdy of Body
Surname or Lastname
English (of Welsh origin)
English (of Welsh origin) : patronymic from the Welsh personal name Madog (see Maddock).
Girl/Female
Tamil
Immeasurable, Boundless
Boy/Male
Indian, Punjabi, Sikh
Love for Wind
POLYIAMOND
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POLYIAMOND
POLYIAMOND
POLYIAMOND