Upgrade to Pro — share decks privately, control downloads, hide ads and more …

fold paper scissors magmaconf 2017

fold paper scissors magmaconf 2017

This talk looks beyond origami as a childhood pastime and an art form and instead, explores origami as a source of many interesting mathematical problems, including one called the fold-and-cut problem. The fold and cut theorem states that it is possible, given a piece of paper and any polygonal shape, to find a series of folds of that paper such that the given shape can be generated with a single cut. This talk explores two ways to look at the theorem and a Ruby implementation of a solver that determines the correct series of folds given any input polygon. There will be a live demo of the program and paper cutting!

sailorhg

March 29, 2017
Tweet

More Decks by sailorhg

Other Decks in Technology

Transcript

  1. cat above
    cut line
    not cat
    below cut line

    View full-size slide

  2. cat outlines
    all on same line

    View full-size slide