Tromino Tiling Deficient Cubes of Any Side Length

Autor:	Starr, Norton
Rok vydání:	2008
Předmět:	Mathematics - Combinatorics Mathematics - General Mathematics 05B45 52C22
Zdroj:	"Tromino Tiling Deficient Cubes of Side Length 2n", Geombinatorics XVIII(2) (2008), 72-87
Druh dokumentu:	Working Paper
Popis:	We show that three dimensional cubes of any size can be tiled with trominoes and, when necessary, one or two singletons in any positions. Cubes of side length a multiple of three can always be tiled with trominoes (known), cubes of side length congruent to 1 mod 3 can always be tiled with an arbitrary single cube and trominoes, and cubes of side length congruent to 2 mod 3 can always be tiled with two single cubes in arbitrary locations and trominoes. Comment: 15 pages, 27 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0806.0524 Zobrazit plný text záznamu View this record from Arxiv