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]

I love this!

[Tyler Foust @TylerFoust13]

Fun Fact - I know my drawing below does not look that crazy, but it was by far the most technically difficult drawing I have completed.

This is one non-intersecting line. I drew it with a pen. I wanted to share it.

#singlelineart #loop

[José Ángel Iranzo @ja_iranzo]

Último artículo publicado. Me hace especial ilusión porque trata de combinar Matemáticas y Arte. El objetivo era encajar piezas de Tetris para representar imágenes conocidas.

Making mosaics from Tetris® tiles https://t.co/HtJSt6dzKj

@tandfonline @Tetris_Official @Dimatematicas

[Robert (Bob) Bosch @baabbaash]

@WKCosmo I'm so sorry for your loss.

[Robert (Bob) Bosch @baabbaash]

@pickover Designed by John Edmark (as stated in the link you provided).

[Robert (Bob) Bosch @baabbaash]

An 24-frame animation of a traversal of a Hamiltonian cycle of the permutohedron (truncated octahedron). Each vertex is one of the 4! = 24 ways of assigning four colors (yellow, blue, black, red) to the four 2-factors.

[Robert (Bob) Bosch @baabbaash]

The large image on the right displays a 24x24 section of a decomposition of the infinite knight's graph into four 2-factors (i.e., 2-regular spanning subgraphs). The four smaller images on the left show the four 2-factors.

[Robert (Bob) Bosch @baabbaash]

And after swapping yellow and red. Note that the fourth 2-factor is a translation of the third one.

[Robert (Bob) Bosch @baabbaash]

And after swapping yellow and red.

[Robert (Bob) Bosch @baabbaash]

The large image on the right displays a 24x24 section of a decomposition of the infinite knight's graph into four 2-factors (i.e., 2-regular spanning subgraphs). The four smaller images on the left show the four 2-factors.

[Robert (Bob) Bosch @baabbaash]

The same decomposition after one additional color swap (yellow and black).

[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.