Domino tilings of three-dimensional regions:

Examples and Additional Material

This page contains additional material concerning domino tilings of three-dimensional regions for the following preprints:

• arXiv:1410.7693: Domino tilings of three-dimensional regions: flips, trits and twists
• arXiv:1404.6509: Flip invariance for domino tilings of three-dimensional regions with two floors
• arXiv:1411.1793: Twists for duplex regions (this short note contains an alternative proof of the fact that two constructions in the above papers actually yield the same result)

Examples

• The 4x4x4 box

Source code

Source code was programmed by the authors for personal use. Use at your own risk.

TilingsConsole source code

C# source that has methods for counting tilings and finding flip connected components of a region, along with other utilities. This has been tested in Windows 7 only, using Visual Studio Express 2012.