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Posts by Robert (Bob) Bosch

So is Figure 7. Figure 6, Figure 7, 🤷🏼‍♂️.

4 days ago 0 0 0 0

It’s a beautiful article with lovely images. :)

4 days ago 1 0 1 0
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Cover art for the May 2026 issue of the Notices of the American Mathematical Society. Here's a link to the issue:

www.ams.org/notices

5 days ago 29 8 5 0
A open knight's tour of a 99x99 chessboard. The 99x99 tour is a tour of a 9x9 array of 11x11 tours. There are 9 different 11x11 tours: each one appearing in each row, each column, and each of the 3x3 sudoku blocks. To traverse the tour, the knight starts in the bottom left corner and after taking 99*99-1 knight's moves, finishes near the top right corner.

A open knight's tour of a 99x99 chessboard. The 99x99 tour is a tour of a 9x9 array of 11x11 tours. There are 9 different 11x11 tours: each one appearing in each row, each column, and each of the 3x3 sudoku blocks. To traverse the tour, the knight starts in the bottom left corner and after taking 99*99-1 knight's moves, finishes near the top right corner.

A knight's tour solution to a sudoku puzzle.

1 week ago 11 2 0 0

I don't know how to explain to the people who pop up when creatives complain about "AI" to say there are legit uses for it just how much they sound like someone saying "Well actually fire is used to make bread" when people are talking about an organized arson ring burning down their fucking houses

1 week ago 8567 2619 96 45
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Keep in mind that Trump's threats communicated in his tweets are themselves war crimes.

2 weeks ago 1301 423 24 14

“A whole civilization will die tonight, never to be brought back again.” -Trump
Article III
The following acts shall be punishable:
(a) Genocide;
(b) Conspiracy to commit genocide;
(c) Direct and public incitement to commit genocide;
(d) Attempt to commit genocide;
(e) Complicity in genocide.

1 week ago 5530 2234 156 136
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Never thought I’d see the President of the United States threatening to commit blatant war crimes on social media, but here we are.

3 weeks ago 17398 5868 1951 638
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This is the key for coding and decoding.

3 weeks ago 5 0 0 0
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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.

3 weeks ago 13 4 2 1
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This would be a war crime. Obviously. Collective punishment.

4 weeks ago 11963 3028 971 268

If every top Democrat doesn’t immediately condemn this threat of war crimes and collective punishment, without any ‘process’ BS complaints, then they should be primaried instantly. They’ll be complicit in this crime if they don’t speak out. Tainted forever.

4 weeks ago 3772 932 145 26

you say "i asked chatgpt"
i hear "i asked [an improv comedy group]"

an improv group wrote this report
instead of a therapist i use an improv comedy group

9 months ago 2233 730 41 50

Sounds interesting, but I received a "404 Not Found" message when I clicked the link.

1 month ago 1 0 1 0
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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.

1 month ago 11 0 0 0

Wow!

1 month ago 1 0 0 0

Gorgeous!

2 months ago 1 0 1 0

!wow!

2 months ago 2 0 0 0

Amazing!

2 months ago 1 0 1 0
Cellular automata: Vines on a Fence

Cellular automata: Vines on a Fence

Cellular automata: Vines on a Fence

Cellular automata: Vines on a Fence

Cellular automata: Vines on a Fence

Cellular automata: Vines on a Fence

Cellular automata: Vines on a Fence

Cellular automata: Vines on a Fence

This is cellular automata applied to a staggered grid, like in beaded peyote stitch. All of these images were created with the same algorithm, what I call “Vines on a Fence.” The only difference among them is how I started each patch. I give the recipe for Vines on a Fence on page 105 of my new book

2 months ago 40 9 1 0
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Look, it’s the sun!

2 months ago 3 0 0 0

Such sad news. So sorry for your loss, Mike.

2 months ago 0 0 0 0
Memorial University of Newfoundland (MUN) has announced a restructuring of its executive leadership team and the intention to sell multiple properties, as the university tries to address a shortfall of approximately $25 million. The changes are just two of several that are expected in the year ahead, as the university also contends with an upcoming tuition-fee freeze. 

In late January, MUN announced it will begin selling multiple properties in St. John’s that are “not closely aligned with its academic mission,” as well as its Harlow Campus in the United Kingdom. The announcement came just two weeks after the university announced executive restructuring, which saw it reduce the number of vice-presidents from seven to three.

Memorial University of Newfoundland (MUN) has announced a restructuring of its executive leadership team and the intention to sell multiple properties, as the university tries to address a shortfall of approximately $25 million. The changes are just two of several that are expected in the year ahead, as the university also contends with an upcoming tuition-fee freeze. In late January, MUN announced it will begin selling multiple properties in St. John’s that are “not closely aligned with its academic mission,” as well as its Harlow Campus in the United Kingdom. The announcement came just two weeks after the university announced executive restructuring, which saw it reduce the number of vice-presidents from seven to three.

PSA: it is in fact possible for universities to address financial challenges by slashing (incredibly expensive and largely useless) admin positions.

Memorial University just downsized VPs from 7 to 3.

Yes we can!

universityaffairs.ca/news/memoria...

2 months ago 220 58 5 14
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And the gold medal goes to Pierre Bézier.

#olympics #mathsky #iteachmath #desmos

2 months ago 14 5 1 0
Photo of a Book “Beading with Algorithms: Cellular Automata in Peyote Stitch” by Gwen Fisher and Roger Antonsen, World Scientific, with a QR code.

Photo of a Book “Beading with Algorithms: Cellular Automata in Peyote Stitch” by Gwen Fisher and Roger Antonsen, World Scientific, with a QR code.

Text about the book and information about the two authors.

Text about the book and information about the two authors.

I started this project twelve years ago, and today I hold the result in my hand. It’s a book that combines bead weaving with math called, “Beading with Algorithms: Cellular Automata in Peyote Stitch.”

This book is the first of its kind, a recipe book of algorithms for making pixel art.

2 months ago 38 12 2 1

The 99x99 tour visits the 11x11 chessboards in Peano-curve-like fashion.

2 months ago 0 0 1 0

I constructed this tour by selecting two "motif tours" of an 11x11 chessboard (one of them found by Éduoard Lucas), arranging them (or their rotations or reflections) into a 9x9 array of 11x11 tours, and then stitching together the 81 11x11 tours with 80 "connectors."

2 months ago 0 0 1 0
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A tour of tours, an open knight's tour of an 99x99 chessboard. The tour starts in the bottom left corner and ends near the top right corner.

2 months ago 28 7 2 0
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A single-line drawing that is simultaneously an open knight's tour of a 99x99 chessboard and a 3x3 Latin square.

2 months ago 67 20 1 0

If you're living somewhere outside the USA, one thing you can do is pressure your leaders to boycott World Cup and Olympic events here.

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