Robert (Bob) Bosch
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baabbbaash.bsky.social
Robert (Bob) Bosch
@baabbbaash.bsky.social
I have two wolves inside me—a mathematician and an artist—and I feed them equally well.

All of my art is made without AI. I find generative AI repulsive. I have no desire to use it, nor do I wish to collaborate with anyone who uses it.
Two knight's tour (32x32 and 64x64). Two terms of an infinite sequence of tours.
November 12, 2025 at 4:18 AM
An open knight's tour of a 128x128 chessboard. The knight starts in the lower left corner, finishes near the lower right corner, and visits each of the sixteen 32x32 regions in the same order that they'd be visited by a second-stage Hilbert curve. #mathart
August 17, 2025 at 3:48 AM
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. Inspiration: Szpakowski's linear ideas. #mathart #mathsart #orms #chess
July 17, 2025 at 11:45 PM
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. Inspiration: Szpakowski's linear ideas. #mathart #mathsart #orms #chess
July 15, 2025 at 12:52 PM
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. Inspiration: Szpakowski's linear ideas. #mathart #mathsart #orms #chess
July 14, 2025 at 1:16 PM
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. Inspiration: Szpakowski's linear ideas. #mathart #mathsart #orms #chess
July 13, 2025 at 1:02 PM
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. Inspiration: Szpakowski's linear ideas. #mathart #mathsart #orms #chess
July 12, 2025 at 12:38 PM
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. Inspiration: Szpakowski's linear ideas. #mathart #mathsart #orms #chess
July 11, 2025 at 2:55 PM
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
July 10, 2025 at 3:46 PM
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
July 9, 2025 at 4:27 PM
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
July 8, 2025 at 7:17 PM
Three knight's tours of a 32x32 chessboard. Each contains the set of edges (knight's moves) shown in the top left. Each is a single unicursal path that can be traced without lifting one's writing implement from the paper. #mathart
July 4, 2025 at 4:01 PM
Three knight's tours of a 32x32 chessboard. Each contains the set of edges (knight's moves) shown in the top left. Each is a single unicursal path that can be traced without lifting one's writing implement from the paper. #mathart
July 3, 2025 at 3:41 AM
Three knight's tours of a 32x32 chessboard. Each contains the set of edges (knight's moves) shown in the top left. Each is a single unicursal path that can be traced without lifting one's writing implement from the paper. #mathart
July 1, 2025 at 4:29 PM
Three knight's tours of a 32x32 chessboard. Each contains the set of edges (knight's moves) shown in the top left. Each is a single unicursal path that can be traced without lifting one's writing implement from the paper. #mathart
July 1, 2025 at 3:32 AM
Surfing the wave burl.
June 17, 2025 at 6:44 PM
I found some graphs at the Murakami exhibition at the Cleveland Museum of Art.
June 7, 2025 at 4:54 PM
May 8, 2025 at 7:54 PM
A partial open knight's tour of a 21x21 board. Done in collaboration with my amazing research student Duy Le.
May 1, 2025 at 1:26 PM
A partial open knight's tour of a 21x21 board. Done in collaboration with my amazing research student Duy Le.
April 30, 2025 at 8:08 PM
A partial open knight's tour of a 21x21 board. Done in collaboration with my amazing research student Duy Le.
April 30, 2025 at 3:15 AM
Ayliean MacDonald's #MathArtMarch Day 31: Change

I had some change in the form of pennies from Barbados, so I arranged them into what I think is the smallest 3-regular penny graph.

Each penny touches exactly three others.
March 31, 2025 at 4:10 AM
It's a great question! Is Conway's CA art? I have used it to make images like the one I've shared, and some might call these images art (but others might not). By the way, most of my shared pattern is a stable pattern, a "still Life." But the glider lurking in the bottom right corner will spoil it.
March 30, 2025 at 8:52 PM
Ayliean MacDonald's #MathArtMarch Day 30: Game

"Still Life with Glider"

A Conway Game-of-Life still life (stable pattern) that's about to be demolished by the glider lurking in the bottom right corner.

From my book Opt Art: From Mathematical Optimization to Visual Design (PUP, 2019).
March 30, 2025 at 2:39 PM
Ayliean MacDonald's #MathArtMarch Day 30: Game

Is this how you play Go?
March 30, 2025 at 4:12 AM