I am experimenting with generative art – essentially creating computer generated art. Here is my first creation – I am calling it **StarCircle**. I love how it has a 3-D aspect to it – almost spherical.

This is created in R using the ggplot package. Code for creating this is simple enough. Caution – it does take a while to run and render even in my decently powerful home desktop.

suppressMessages(library(tidyverse)) seq(-10, 10, by = 0.01) %>% expand.grid(x=., y=.) %>% ggplot(aes(x=(x+9.5*sin(y)), y=(y+9.5*cos(x)))) + geom_point(alpha=.01, shape=20, #Shape 20 is essentially a filled circle color="blue", size=0)+theme_void()+ coord_polar()

I cannot claim any credits for originality here though. I am following the lead of Antonio Sánchez Chinchón.

The process for creating StarCircle was quite iterative – a lot of hit-and-miss, trial-and-error. The output is very sensitive to even small changes in code parameters. For example, let us try changing the ggplot command to the following:

seq(-10, 10, by = 0.05) %>% expand.grid(x=., y=.) %>% ggplot(aes(x=(x+3.1*sin(y)), y=(y+19.1*cos(x)))) + geom_point(alpha=.01, color="darkgreen", size=0)+theme_void()+ coord_polar()

The code above leads to this beautiful delicate Green Butterfly:I am teaching two courses in Data Visualization in Fall. This is part of my ongoing efforts to include more creative elements in those courses. Especially for the course TO404: Big Data Manipulation and Visualization as the course is based on R and this content will fit right in.

Here is a red version of StarCircle:

More generative art below the fold.

### Update: Experiments Continuing

#### Mountains Forming

seq(-10, 10, by = 0.05) %>% expand.grid(x=., y=.) %>% ggplot(aes(x=(x+3.1*sin(y)), y=(y+5.1*sin(x)))) + geom_point(alpha=.05, shape=20, color="magenta", size=0)+theme_void()+ coord_equal()

#### FlightPath

seq(-10, 10, by = 0.1) %>% expand.grid(x=., y=.) %>% ggplot(aes(x=(x+3.1*sin(y*y)), y=(y+15.1*sin(x)))) + geom_point(alpha=.05, shape=20, color="red", size=1)+theme_void()+ coord_polar()

#### NotKnots

seq(-8, 8, by = 0.05) %>% expand.grid(x=., y=.) %>% ggplot(aes(x=(x+sin(y+2*x)), y=(y+sin(x+2*y)))) + geom_point(alpha=.05, shape=20, color="blue", size=1)+theme_void()+ coord_fixed()

#### Tornado

seq(-12, 12, by = 0.1) %>% expand.grid(x=., y=.) %>% ggplot(aes(x=(cos(y+x)+1.3*y), y=(sin(x+y)+2.3*x))) + geom_point(alpha=.05, shape=20, color="red", size=1)+theme_void()+ coord_polar()

#### Dispersion

seq(-12, 12, by = 0.1) %>% expand.grid(x=., y=.) %>% ggplot(aes(x=(sin(y+x)+y*y), y=(sin(x+y)+2.3*x))) + geom_point(alpha=.05, color="orangered", size=1)+theme_void()+ coord_polar()

#### Sudarshan

This one is different as it is made with Purr. Have followed code example provided here: https://fronkonstin.com/2019/03/27/drrrawing-with-purrr/