|
In recreational mathematics, a polyhex is a polyform with a regular hexagon (or 'hex' for short) as the base form. As with polyominoes, polyhexes may be enumerated as ''free'' polyhexes (where rotations and reflections count as the same shape), ''fixed'' polyhexes (where different orientations count as distinct) and ''one-sided'' polyhexes (where mirror images count as distinct but rotations count as identical). They may also be distinguished according to whether they may contain holes. The number of free -hexes for = 1, 2, 3, … is 1, 1, 3, 7, 22, 82, 333, 1448, … ; the number of free polyhexes with holes is given by ; the number of free polyhexes without holes is given by ; the number of fixed polyhexes is given by ; the number of one-sided polyhexes is given by .〔(Wolfram Mathworld: Polyhex )〕〔Glenn C. Rhoads, Planar tilings by polyominoes, polyhexes, and polyiamonds, ''Journal of Computational and Applied Mathematics'' 174 (2005), No. 2, pp 329–353〕 ==See also== *Tessellation *Percolation theory *Polyiamond - tilings with equilateral triangles *Polyomino - tilings with squares *Polycyclic aromatic hydrocarbon - hydrocarbons whose structure is based on polyhexes 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Polyhex (mathematics)」の詳細全文を読む スポンサード リンク
|