What is the relationship between Math, Art, and Science?

Dear critical thinkers,

Visit these sites, explore, and generate two questions about math, art, and science:

http://www.mcescher.com/ click on ‘picture gallery’. What is the relationship between math and art?

http://www.goldennumber.net/ explore. What is the golden ratio and the Fibonacci Series? How might this mathematical insight be used to discuss elegance and beauty in mathematics?

http://classes.yale.edu/fractals/ What is significant about fractal geometry? What are the practical applications of fractal geometry? Generate a fractal here pattern here.

 

Questions due Thursday

Comment and respond to two classmates by Friday

Mathematics and the World

We can use mathematics successfully to model real-world processes. Is this because we create mathematics to mirror the world or because the world is intrinsically mathematical?

Using the links on the Mathematics sidebar, research Phi, the Fibonacci Series, and the Mandelbrot Set, and consider examples to include in your response. As is the case in most ToK prompts, the issue is not simple, so consider a variety of perspectives in your response.

In light of the questions above, is mathematics invented or discovered?