@baabbaash

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

 Oberlin, Ohio USA
dominoartwork.com
Joined May 2013
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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/1… or amazon.com/Opt-Art-Mathemati…
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Robert (Bob) Bosch retweeted
José Ángel Iranzo@ja_iranzoSep 9
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 tandfonline.com/doi/full/10.… @tandfonline @Tetris_Official @Dimatematicas
Rostro de la Mona Lisa, de Leonardo da Vinci, representado en escala de grises mediante piezas de Tetris.

ALT Rostro de la Mona Lisa, de Leonardo da Vinci, representado en escala de grises mediante piezas de Tetris.

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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.
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And after swapping yellow and red. Note that the fourth 2-factor is a translation of the third one.
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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.
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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.
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The same decomposition after one additional color swap (yellow and black).
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And after swapping yellow and red.
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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.
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Here is the key for coding and decoding.
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"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.
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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.
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Robert (Bob) Bosch retweeted
RSonntag@RonaldSonntagJan 6
Replying to @pickover @baabbaash
Release the unredacted Epstein Files!
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Two knight's tours (32x32 and 64x64). Two terms of an infinite sequence of tours.
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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
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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
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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
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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
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