Abstract
The Hopeless Love theme arose from observations about chess bishops and their walks on the chessboard. In chess, there are two types of bishops: one confined to the white squares and the other to the black squares. If two bishops of opposite type fall in love, then they can walk around each other, coming very close together, but they can never meet. Their love is hopeless. In this article, we explore the generalization of bishop walks to the 3D chessboard and define when their paths are considered a hopeless love. This has led to several mathematical sculptures. A fictitious 3D chess piece that walks in directions of the main diagonals of the cube we call a rhomber. Again, hopeless love is in the picture, and has resulted in a mathematical sculpture.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of Bridges 2017 |
| Subtitle of host publication | Mathematics, Art, Music, Architecture, Education, Culture |
| Editors | David Swart, Carlo H. Séquin, Kristóf Fenyvesi |
| Place of Publication | Phoenix, Arizona, USA |
| Publisher | Tessellations Publishing |
| Pages | 197-204 |
| Number of pages | 8 |
| ISBN (Print) | 978-1-938664-22-9 |
| Publication status | Published - Jul 2017 |
| Event | Bridges 2017 : Mathematics, Arts, Music, Architecture, Education, Culture - University of Waterloo, Waterloo, Canada Duration: 27 Jul 2017 → 31 Jul 2017 Conference number: 20 http://bridgesmathart.org/bridges-2017/ http://bridgesmathart.org/past-conferences/bridges-2017/ http://bridgesmathart.org/past-conferences/bridges-2017 |
Publication series
| Name | Bridges Conference Proceedings |
|---|---|
| Publisher | Tessellations Publishing |
| ISSN (Print) | 1099-6702 |
Conference
| Conference | Bridges 2017 : Mathematics, Arts, Music, Architecture, Education, Culture |
|---|---|
| Abbreviated title | Bridges Waterloo 2017 |
| Country/Territory | Canada |
| City | Waterloo |
| Period | 27/07/17 → 31/07/17 |
| Internet address |