permutations (version 1.0-9)

megaminx_plotter: Plotting routine for megaminx sequences

Description

Plots a coloured diagram of a dodecahedron net representing a megaminx

Usage

megaminx_plotter(megperm=id,offset=c(0,0),M=diag(2),setup=TRUE,...)

Arguments

megperm

Permutation to be plotted

offset,M

Offset and transformation matrix, see details

setup

Boolean, with default TRUE meaning to set up the plot with a plot() statement, and FALSE meaning to plot the points on a pre-existing canvas

...

Further arguments passed to polygon()

Author

Robin K. S. Hankin

Details

Function megaminx_plotter() plots a coloured diagram of a dodecahedron net representing a megaminx. The argument may be specified as a sequence of turns that are applied to the megaminx from START.

The function uses rather complicated internal variables pentagons, triangles, and quads whose meaning and genesis is discussed in heavily-documented file inst/guide.R.

The diagram is centered so that the common vertex of triangles 28 and 82 is at \((0,0)\).

Examples

data("megaminx")

megaminx_plotter()  # START
megaminx_plotter(W) # after turning the White face one click
megaminx_plotter(superflip)

size <- 0.95
o <- 290

if (FALSE) {
pdf(file="fig1.pdf")
megaminx_plotter(M=size*diag(2),offset=c(-o,0),setup=TRUE)
megaminx_plotter(W,M=size*diag(2),offset=c(+o,0),setup=FALSE)
dev.off()

pdf(file="fig2.pdf")
p <- permprod(sample(megaminx,100,replace=TRUE))
megaminx_plotter(p,M=size*diag(2),offset=c(-o,0),setup=TRUE)
megaminx_plotter(superflip,M=size*diag(2),offset=c(+o,0),setup=FALSE)
dev.off()
}