RecordNumber
1912
Author
Bosch, Robert
Crop_Body
Robert Bosch, Sarah Fries, M¨aneka Puligandla, and Karen Ressler
Title of Article
From Path-Segment Tiles to Loops and Labyrinths
Title Of Journal
Bridges
Publication Year
2013
Page
119-126
Notes
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture , براي دانلود و مشاهده مقاله به قسمت لينكهاي مرتبط مراجعه نماييد
Abstract
We explain how to use integer programs to assemble a collection of path-segment tiles—squares decorated with path segments—on a grid so that the path segments join together to form a single closed loop or a single open path through the centers of the squares of the grid. We describe how to optimize (maximize or minimize) the number of bends (90-degree turns) in the loop or path. We show how to force loops to be symmetric and to encourage paths to be as close to symmetric as possible. We conclude by displaying laser-cut and 3D-printed artwork designed with our integer programs.
URL
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