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- Prof Erik Demaine and his father have found a novel way to flatten 4d objects to lower dimensions using infinite folds
B Flattening Object with Computational Geometry
- Thread starter jedishrfu
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- Computational Geometry
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A father-son team has made significant advancements in computational geometry by solving a complex problem involving the flattening of objects with infinite folds. Their work builds on principles of origami, showcasing the intersection of art and mathematics. The team’s findings have implications for various fields, including engineering and design. Their contributions highlight the innovative potential of combining mathematical theory with practical applications. This research exemplifies the ongoing relevance of mathematical exploration in solving real-world challenges.
Obviously, there is something elementary I am missing here.
To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix
in the real plane; taking the transpose we get
which then corresponds to a-bi...
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