The butterfly curve

[This article was first published on » R, and kindly contributed to R-bloggers]. (You can report issue about the content on this page here)
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.

I came across the butterfly curve, which was discovered by Temple Fay. The butterfly curve is produced by a parametric equation where:
x = sin(t) * (e^cos(t)-2cos(λt)-sin(t/12)^5) and
y = cos(t) * (e^cos(t)-2cos(λt)-sin(t/12)^5).
Where t stands for time and λ for a user input variable.

I used ggplot to create a plot of the butterfly curve with a background of the same color pattern. After sourcing the function, the user can vary the number of background points, as well as the butterfly curves.

butterfly

library(ggplot2)
source("https://raw.githubusercontent.com/danielmarcelino/SciencesPo/master/R/butterfly.R")

> p1 = butterfly(10, 100, title="10 x 100")

Date of Analysis: Wed Oct 07 2015
Computation time: 0.009749889
-----------------------------------
> p2 = butterfly(10, 200, title="10 x 200")

Date of Analysis: Wed Oct 07 2015
Computation time: 0.01240611
-----------------------------------
> p3 = butterfly(10, 500, title="100 x 500")

Date of Analysis: Wed Oct 07 2015
Computation time: 0.02488399
-----------------------------------
> p4 = butterfly(100, 1000, title="100 x 1000")

Date of Analysis: Wed Oct 07 2015
Computation time: 0.01444697
-----------------------------------
 multiplot(p1,p2,p3,p4, ncols = 2)

To leave a comment for the author, please follow the link and comment on their blog: » R.

R-bloggers.com offers daily e-mail updates about R news and tutorials about learning R and many other topics. Click here if you're looking to post or find an R/data-science job.
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.

Never miss an update!
Subscribe to R-bloggers to receive
e-mails with the latest R posts.
(You will not see this message again.)

Click here to close (This popup will not appear again)