Robert (Bob) Bosch

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 press.princeton.edu/titles/13702.h… or amazon.com/Opt-Art-Mathem…

"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.

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

@pickover @baabbaash You see those odd boxes in between? They look like the big dipper..

Mathematics. Beautiful Universe. Wow. An open knight’s tour of a 99x99 chessboard. By Robert (Bob) Bosch, @baabbaash, dominoartwork.com, Used with permission. "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."

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.

@pickover @baabbaash Release the unredacted Epstein Files!

@darthur @pickover I'm not seeing it.

@pickover @baabbaash slight rendering error in the code where it draws a line when the piece moves to the next board?

Chess. Mathematics. Two magnificent knight's tours (32x32 and 64x64). [Select to magnify.] By Robert (Bob) Bosch, @baabbaash, dominoartwork.com, Used with permission

@pluckyunderdog @pickover By design.

@pickover @baabbaash Vaguely reminiscent of a Hilbert Curve for some reason

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

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

@tara_taylor I hope you have a great time!

We are exhausted with jet lag but happy we made it to Eindhoven!

@Jarigusa Lovely!

@baabbaash The Knight's Tour Problem: #A_Geometric_Approach A vertical reflection of the upper half of the tour can do the trick, and we have a closed symmetric Quadrisection based on your wonderful tour. Then, by making only 3 additional connections we can produce a new symmetric solution.

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

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

@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.

Math, Chess, Symmetry. By Robert (Bob) Bosch, @baabbaash, dominoartwork.com, Used with permission. 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."

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

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

@timchartier @DavidsonCollege @baabbaash Wow that’s so awesome! I have a piece there too, Dan’s Prime Logs! #SUMM

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).

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

@rebeccayelin Thank you!

@baabbaash Thank you! BTW, I loved reading Opt Art in my undergrad!

prototyping