52 citations · 271 across the 48 of their papers we have counts for
3 papers · 1 filter
One Tile to Rule Them All: Simulating Any Turing Machine, Tile Assembly System, or Tiling System with a Single Puzzle Piece
Erik D. Demaine, Martin L. Demaine, Sándor P. Fekete +4
In this paper we explore the power of tile self-assembly models that extend the well-studied abstract Tile Assembly Model (aTAM) by permitting tiles of shapes beyond unit squares.…
Picture-Hanging Puzzles
Erik D. Demaine, Martin L. Demaine, Yair N. Minsky +3
We show how to hang a picture by wrapping rope around n nails, making a polynomial number of twists, such that the picture falls whenever any k out of the n nails get removed, and…
Algorithms for Solving Rubik's Cubes
Erik D. Demaine, Martin L. Demaine, Sarah Eisenstat +2
The Rubik's Cube is perhaps the world's most famous and iconic puzzle, well-known to have a rich underlying mathematical structure (group theory). In this paper, we show that the R…