Summary: This article is about the planar configurations of the toy called Rubik’s Snake (or Rubik’s Twist), where all Snake pieces have a triangular face lying in the same plane. Any such configuration with n corners can be obtained from the straight Snake with exactly n twists of the physical toy (in such a way that the Snake does not self-intersect during the construction). We also discuss a number of other interesting properties; in particular, we classify all convex subsets of the plane that can be precisely covered by such a planar configuration. The proofs only require high school mathematics.
Rubik’s Snakes on a Plane
Grotto F.;
2024-01-01
Abstract
Summary: This article is about the planar configurations of the toy called Rubik’s Snake (or Rubik’s Twist), where all Snake pieces have a triangular face lying in the same plane. Any such configuration with n corners can be obtained from the straight Snake with exactly n twists of the physical toy (in such a way that the Snake does not self-intersect during the construction). We also discuss a number of other interesting properties; in particular, we classify all convex subsets of the plane that can be precisely covered by such a planar configuration. The proofs only require high school mathematics.File in questo prodotto:
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