Tiling with rectangles
Template:Short description A tiling with rectangles is a tiling which uses rectangles as its parts. The domino tilings are tilings with rectangles of 1 × 2 side ratio. The tilings with straight polyominoes of shapes such as 1 × 3, 1 × 4 and tilings with polyominoes of shapes such as 2 × 3 fall also into this category.
Congruent rectangles
Some tiling of rectangles include:
| File:Stacked bond.png Stacked bond |
File:Wallpaper group-cmm-1.jpg Running bond |
File:Wallpaper group-p4g-1.jpg Basket weave |
File:Basketweave bond.svg 3×3 Basket weave |
File:Herringbone bond.svg Herringbone pattern |
Tilings with non-congruent rectangles
The smallest square that can be cut into (m × n) rectangles, such that all m and n are different integers, is the 11 × 11 square, and the tiling uses five rectangles.[1]
The smallest rectangle that can be cut into (m × n) rectangles, such that all m and n are different integers, is the 9 × 13 rectangle, and the tiling uses five rectangles.[1][2]
See also
Notes
Page Template:Reflist/styles.css has no content.
- ^ a b Page Module:Citation/CS1/styles.css has no content.Madachy, Joseph S. (1998). "Solutions to Problems and Conjectures". Journal of Recreational Mathematics. 29 (1): 73. ISSN 0022-412X.
- ^ Herringbone Tiles on a Bathroom Wall
Lua error in package.lua at line 80: module 'Module:Navbox/configuration' not found.
