![]() We include a self-contained account of prior research on Tchoukaillon, as well as a new description of all winning Tchoukaillon boards with a given length. In this work, we study a simple solitaire mancala game called Tchoukaillon that facilitates the analysis of “sweep” moves, in which all of the stones on a portion of the board can be collected into the store. There are many two-player mancala games in which a player may move again if their move ends in their own store. ![]() 8, 2013Ībstract: Mancala is a generic name for a family of sowing games that are popular all over the world. Solitaire Mancala games and the Chinese Remainder Theoremīrant Jones, Laura Taalman, and Anthony TongenĪmerican Mathematical Monthly, Vol.120, No. ![]() This work has application beyond mathematics as we also provide a useful patterning tool for knitting and fiber arts designers we introduce Symmetry Generator software created using Python/Processing and OpenSCAD which provides a method for exporting plane lattice symmetry designs as hand knitting patterns or as physical punch cards for use in knitting machines. In particular we enumerate all plane lattice symmetries that can be generated from square tiles using lattice translations and combinations of other lattice symmetries. This paper extends the existing library of these patterns to include orientation-based variations and four-fold rotations. ![]() Proceedings of Bridges 2020: Mathematics, Art, Music, Education, Culture, pages 223-230, 2020.Ībstract: Mathematicians have established that there are exactly seventeen plane symmetry groups, known as “wallpaper patterns.” Multiple mathematical fiber arts papers describe subsets of those patterns that are suitable for textile design with grid-based media such as knitting and cross-stitch. ![]()
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