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Top N Facts about the Klein Bottle

In honour of Felix Klein’s birthday, Matt Parker and Katie Steckles investigate the amazing surface which bears his name.

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Using a zero-knowledge protocol to prove you can solve a sudoku

I’ve just uploaded to youtube a video I made with Katie Steckles to demonstrate why zero-knowledge protocols exist and how one works.

Katie is a habitual liar, so we followed the zero-knowledge protocol described in the paper, “Cryptographic and Physical Zero-Knowledge Proof Systems for Solutions of Sudoku Puzzles” which you can download from

By following this protocol, Katie can prove that she isn’t lying to me about being able to solve the puzzle, without revealing anything about how she solved it.

The paper I mentioned, “How to explain zero-knowledge protocols to your children” is an excellent explanation of the ideas behind zero-knowledge proof.

Click here to continue reading Using a zero-knowledge protocol to prove you can solve a sudoku on cp’s mathem-o-blog

Inspirations by Cristóbal Vila

Inspirations is a short movie by Cristóbal Vila, inspired by the work of MC Escher. While it isn’t particularly great considered purely as a work of art, it could be considered as an excellent advertisement for maths. It’s jam-packed with references not just to Escher pieces but to all sorts of famous mathematical art and ideas. I think it would take a lot of careful pausing and looking to find all the references.

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