Polyform whose base form is an equilateral triangle
"Triamond" redirects here. For the crystal structure, see Laves graph.
Wikimedia Commons has media related to Polyiamonds.
A polyiamond (also polyamond or simply iamond, or sometimes triangular polyomino[1]) is a polyform whose base form is an equilateral triangle. The word polyiamond is a back-formation from diamond, because this word is often used to describe the shape of a pair of equilateral triangles placed base to base, and the initial 'di-' looks like a Greek prefix meaning 'two-' (though diamond actually derives from Greek ἀδάμας - also the basis for the word "adamant"). The name was suggested by recreational mathematics writer Thomas H. O'Beirne in New Scientist 1961 number 1, page 164.
^Sloane, N.J.A. (July 9, 2021). "A000577". OEIS. The OEIS Foundation Inc. Retrieved July 9, 2021. triangular polyominoes (or triangular polyforms, or polyiamonds)
Wikimedia Commons has media related to Polyiamonds. A polyiamond (also polyamond or simply iamond, or sometimes triangular polyomino) is a polyform whose...
shapes on a triangular grid divided into equal polyiamond areas containing equal sums give polyiamond magic constant. The magic constant of an n-pointed...
angle (which some authors call a calisson after the French sweet—also see Polyiamond), and the latter sometimes refers specifically to a rhombus with a 45°...
of regular tetrahedra, the 3-dimensional analogue of a polyiamond. Polytetrahedra and polyiamonds are related as polycubes are related to polyominoes. In...
Blokus Trigon uses pieces made up of triangles rather than squares (polyiamonds) and is played on a hexagonal board. This particular variant is optimized...
trapezoidal, hexagonal, or other polygonal faces. Each face must be a convex polyiamond, such as , , , , , , , , ... Some small examples include: There are an...
Rhoads, Glenn C. (2005). "Planar tilings by polyominoes, polyhexes, and polyiamonds". Journal of Computational and Applied Mathematics. 174 (2): 329–353...
more modern puzzles that often have a mathematical basis. For example, polyiamonds and polyominoes are figures of regular triangles and squares, often used...
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...
breaking Symmetry-breaking constraints Symmetric relation Symmetries of polyiamonds Symmetries of polyominoes Symmetry group Wallpaper group For example...
"Mathematical Games" column in Scientific American. Related to polyominoes are polyiamonds, formed from equilateral triangles; polyhexes, formed from regular hexagons;...
Rhoads, Glenn C. (2005). "Planar tilings by polyominoes, polyhexes, and polyiamonds". Journal of Computational and Applied Mathematics. 174 (2): 329–353...
2007-09-09. John Berglund, Anisohedral Tilings Page Weisstein, Eric W. "Anisohedral Tiling". MathWorld. Joseph Myers, Polyomino, polyhex and polyiamond tiling...
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...
Rhoads, Glenn C. (2005). "Planar tilings by polyominoes, polyhexes, and polyiamonds". Journal of Computational and Applied Mathematics. 174 (2): 329–353...
Martin. More about tiling the plane: the possibilities of polyominoes, polyiamonds, and polyhexes “Mathematical Games” Scientific American, vol. 233, no...
Rhoads, Glenn C. (2005). "Planar tilings by polyominoes, polyhexes, and polyiamonds". Journal of Computational and Applied Mathematics. 174 (2): 329–353...
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