Here's some art I've created relating to the Fibonacci sequence and Phi. "Fibonacci's Ladder": a Julia set wherein the number of components increases in the Fibonacci sequence. http://www.kerrymitchellart.com/gallery13/ladder.html "Signature of Phi": illustrating the signature sequence of Phi. http://www.kerrymitchellart.com/gallery13/sigphi.html "Geometric Love": nested Fibonacci spirals. http://www.kerrymitchellart.com/gallery16/geolove.html "Irrational Exuberance": coloring Gaussian integers by the fractional part after subtracting multiples of Phi. http://www.kerrymitchellart.com/gallery18/irrationalexuberance.html "2-3-5-8-13": a zoom into the Mandelbrot set showing a spiral with increasing numbers of arms. http://www.kerrymitchellart.com/gallery22/235813.html "Inspired": representing Phi with the Stern-Brocot tree. http://www.kerrymitchellart.com/gallery24/inspired.html "Fibonacci Word 1": a piecewise-linear curve based on the Fibonacci word. http://www.kerrymitchellart.com/gallery35/fibonacci-word1.html "Self Portrait in Phi": using the method from "Signature of Phi" to create a self portrait. http://www.kerrymitchellart.com/gallery61/self-portrait-in-phi.html "Differential Signatures 2": illustrates the differences between two signature sequences, one for a number slightly smaller than phi (phi = 1/Phi) and one for a number slightly larger than phi. http://www.kerrymitchellart.com/gallery90/differential-signatures2.html On Mon, Apr 27, 2020 at 8:27 AM James Buddenhagen <jbuddenh@gmail.com> wrote:
double oops!!!
Here is the link to history of life of Albrecht Dürer
http://mathshistory.st-andrews.ac.uk/Biographies/Durer.html
On Mon, Apr 27, 2020 at 10:25 AM James Buddenhagen <jbuddenh@gmail.com> wrote:
oops -- somehow I had a link to an Andy Goldsworthy spiral in my previous email. Well it was a nice spiral of white rocks, at least on topic -- mathematics in art.
It was supposed to be a link to history of the artist Albrecht Dürer who was quite interested in mathematics. The correct link for that is: https://live.staticflickr.com/65535/49825435268_652f6d12a3_b.jpg
James
On Mon, Apr 27, 2020 at 10:16 AM James Buddenhagen <jbuddenh@gmail.com> wrote:
On Mon, Apr 27, 2020 at 5:48 AM Brad Klee <bradklee@gmail.com> wrote:
For example:
https://www.zirckelvndrichtscheyt.com/e-n-g-l-i-s-h-1/geometricized-heads/
Yes, Albrecht Dürer was very interested in mathematics. See here: https://www.flickr.com/photos/jbuddenh/31131350214 for more history about this.
His famous image: Melencolia I, shows (among lots of other things) a polyhedron which appears to be a truncated rhombohedron (some say a truncated cube). See it here: https://live.staticflickr.com/65535/49825435268_652f6d12a3_b.jpg
James
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