Robert (Bob) Bosch

The James F. Clark Professor of Mathematics at Oberlin College. Artist. Author of "Opt Art: From Mathematical Optimization to Visual Design." He/him.

[Robert (Bob) Bosch @baabbaash]

I'm so excited! My book "Opt Art: From Mathematical Optimization to Visual Design" is out today! If you want to order a copy or check out some endorsements, you can do so at

https://t.co/WuoHGMpA2b

or

https://t.co/DrWO2IilYp

[Robert (Bob) Bosch @baabbaash]

Here is the key for coding and decoding.

[Robert (Bob) Bosch @baabbaash]

I converted a text message into a knight's tour. To decode it, follow the knight's tour, starting in the top left corner. The knight will traverse a succession of 11x11 tours, and each of these 11x11 tours corresponds to a letter. The message is a quote from Ursula K. Le Guin.

[Robert (Bob) Bosch @baabbaash]

"Spiraling to keep myself from spiraling." An open knight's tour of a 99x99 chess board. The tour can be thought of as a tour of 11x11 tours, and it can be extended indefinitely to form an infinite Hamiltonian path through the infinite knight graph.

[Robert (Bob) Bosch @baabbaash]

@SARITA_K321 @pickover And each is a knight's move away from another.

[Robert (Bob) Bosch @baabbaash]

A tour of tours, an open knight’s tour of a 99x99 chessboard. The tour starts in the bottom left corner and ends near the top right after winding its way through a 9x9 array of 11x11 tours, visiting them in the same order as would a stage-3 Peano curve.

[RSonntag @RonaldSonntag]

@pickover @baabbaash Release the unredacted Epstein Files!

[Robert (Bob) Bosch @baabbaash]

@darthur @pickover I'm not seeing it.

[Robert (Bob) Bosch @baabbaash]

@pluckyunderdog @pickover By design.

[Robert (Bob) Bosch @baabbaash]

Two knight's tours (32x32 and 64x64). Two terms of an infinite sequence of tours.

[Robert (Bob) Bosch @baabbaash]

A knight's tour of a 32x32 chessboard. The knight's path is unicursal. If you start in the lower left corner and follow the path move by move, you will visit each square once and only once and end near the lower right corner. #mathart #mathsart #orms #chess

[Robert (Bob) Bosch @baabbaash]

@tara_taylor I hope you have a great time!

[Robert (Bob) Bosch @baabbaash]

@Jarigusa Lovely!

[Robert (Bob) Bosch @baabbaash]

A knight's tour of a 32x32 chessboard. The knight's path can be traced without lifting one's writing implement from the surface of the paper. This tour is close to having 180-degree rotational symmetry and vertical and horizontal mirror symmetries. #mathart #chess

[Robert (Bob) Bosch @baabbaash]

A knight's tour of a 32x32 chessboard. The knight's path can be traced without lifting one's writing implement from the surface of the paper. Inspiration: Szpakowski's linear ideas. #mathart #mathsart #orms #chess

[Robert (Bob) Bosch @baabbaash]

@irvyirv8 @pickover @grok If the start point is in a corner and the end point is in a square that's diagonally adjacent to a corner, then the tour can't be perfectly symmetric. But the "interior" can be.

[Robert (Bob) Bosch @baabbaash]

A knight's tour of a 32x32 chessboard. The knight's path can be traced without lifting one's writing implement from the surface of the paper. This tour is close to having 180-degree rotational symmetry and vertical and horizontal mirror symmetries. #mathart #mathsart #chess

[Robert (Bob) Bosch @baabbaash]

@dansmath @timchartier @DavidsonCollege That's lovely, Dan!

[Robert (Bob) Bosch @baabbaash]

@timchartier @DavidsonCollege Spectacular, Tim. Congratulations to you and Anna!

[Tim Chartier @timchartier]

Here's a preview of my @DavidsonCollege honors student's (inspired by @baabbaash work) lenticular dice mosaic of Katherine Johnson & Maryam Mirzakhani. Our piece will hang next month on Mercer Island in a math & art exhibit hosted by the Seattle Universal Math Museum (SUMM).