Function Reference: einstein

statistics: einstein ()
statistics: tiles = einstein (a, b)
statistics: [tiles, rhat] = einstein (a, b)
statistics: [tiles, rhat, that] = einstein (a, b)
statistics: [tiles, rhat, that, shat] = einstein (a, b)
statistics: [tiles, rhat, that, shat, phat] = einstein (a, b)
statistics: [tiles, rhat, that, shat, phat, fhat] = einstein (a, b)

Plots the tiling of the basic clusters of einstein tiles.

Scalars a and b define the shape of the einstein tile. See Smith et al (2023) for details: https://arxiv.org/abs/2303.10798

  • tiles is a structure containing the coordinates of the einstein tiles that are tiled on the plot. Each field contains the tile coordinates of the corresponding clusters.
    • tiles.rhat contains the reflected einstein tiles
    • tiles.that contains the three-hat shells
    • tiles.shat contains the single-hat clusters
    • tiles.phat contains the paired-hat clusters
    • tiles.fhat contains the fylfot clusters
  • rhat contains the coordinates of the first reflected tile
  • that contains the coordinates of the first three-hat shell
  • shat contains the coordinates of the first single-hat cluster
  • phat contains the coordinates of the first paired-hat cluster
  • fhat contains the coordinates of the first fylfot cluster

Source Code: einstein

Example: 1

 

 einstein (0.4, 0.6)

                    
plotted figure

Example: 2

 

 einstein (0.2, 0.5)

                    
plotted figure

Example: 3

 

 einstein (0.6, 0.1)

                    
plotted figure