Implementing the general chaos game

$1.$ As noted above, the chaos game generalizes the behavioral rules to use the vertices of

a regular n$-$gon as target points, and for each painter agent to move a fraction r of the

distance to the randomly selected vertex. Consider how we might modify the model

to support any n value in the set $\{3,4,...,12\},$ and any r value in the set

$\{0\mathrm{.}01,0\mathrm{.}02,...,0\mathrm{.}99\}?($Hint: Where in our code do we see the number $3,$ representing

the number of vertices? Can we replace that literal value with a variable that can be

controlled in the user interface? Similarly, where do we see the number $0\mathrm{.}5,$

representing the fraction of the distance to the target vertex that the painter turtle

moves? Can we replace that literal value with a variable controlled in the user

interface?$)$

$2.$ Add two sliders $($to control n and r$)$ and modify the code as necessary to change the

model into one that implements the general chaos game. Make sure you still get the

expected results with n $=3,$ r $=0\mathrm{.}5.$

$3.$ Experiment with different values of n and r$.$ Can you find other interesting

combinations of values?