|
Craig S. Kaplan
@cs_kaplan
|
1. ruj |
|
New blog post: using complex numbers to draw spiral tilings. It's an old idea, but I've always wanted to explain it in full. Plus, this time I include an interactive tool for drawing your own tilings!
isohedral.ca/escher-like-sp…
|
||
|
|
||
|
Craig S. Kaplan
@cs_kaplan
|
1. ruj |
|
Fantastic! I’d love to know more.
|
||
|
|
||
|
Daniel Piker
@KangarooPhysics
|
1. ruj |
|
Thanks! It's a conformal mapping formed by superposition of shifted copies of +/- Ln(z)
Here's one with an Escher tessellation pic.twitter.com/cn8sOw4RF7
|
||
|
|
||
|
Akiva Weinberger
@akivaw
|
1. ruj |
|
Imagine a 3D shape of which this is a sequence of slices
|
||
|
|
||
|
Daniel Piker
@KangarooPhysics
|
2. ruj |
|
Funny you should say that!
As it happens, I am generating the 3d shape first, and these are the contours
spacesymmetrystructure.wordpress.com/rheotomic-surf…
|
||
|
|
||
|
ricvil
@ricvil3
|
2. ruj |
|
What is math behind this?
I would like to understand.
|
||
|
|
||
|
Daniel Piker
@KangarooPhysics
|
2. ruj |
|
One way of looking at it is as *potential flow* of an ideal fluid, adding together sources, sinks and vortices as functions of complex numbers. mathfaculty.fullerton.edu/mathews/c2003/…
A very nice book that covers this is 'Visual Complex Analysis' by Tristan Needham
|
||
|
|
||