Contents

• List of Figures
• List of Tables
• Overview
• Rule 110 as a consequence of triangular tiles
• The simplest mosaics according to Rule 110
  • T1 mosaic
  • T2 mosaic
  • T3 mosaic
  • crystallography of the ether tile
  • T4 mosaic
  • T5 mosaic
• General properties of Rule 110
  • interpretation of graphs
  • the de Bruijn diagrams
  • cycle, or basin, diagrams
  • ancestors and symbolic de Bruijn matrices
  • subset diagram
  • mean field probability
• Gliders not using the ether tile
  • two right in five generations
  • four left in six generations
  • one left in six generations
• Cook's A-gliders, with forward velocity 2/3 c
  • tiling approach
  • de Bruijn approach
  • non-existence of (4,6) A-bar gliders
• Cook's B-gliders, with backward velocity -c/2
  • tiling approach to the B gliders at -2 in 4 generations
  • de Bruijn approach to the B gliders
  • tiling by B-bar gliders at -6 in 12 generations
• Cook's C gliders, static with velocity 0
  • tiling approach
  • de Bruijn approach
• Cook's D-gliders, forward velocity c/5
• Cook's E-gliders, velocity -4/15 c ( -c/4)
  • tiling approach to -4/15 gliders
  • tiling approach to -8/30 gliders
• Cook's F-glider, backward velocity -c/9
• Cook's G-gliders, backward velocity -c/3
• Cook's H-glider, velocity -18/92 c ( -c/5)
• Cook's glider gun, velocity -20/77 ( -c/4).
• Glider collisions
  • the A - B collision vanishes
  • an A - C collision makes an F
• Acknowledgements
• References
• About this document ...