Outstanding work and a delightful read.
Thanks Cliff, it means a ton coming from you! The videos from you and all the other folks on Numberphile always inspired me to see the beauty in math growing up :)
That fractal that's been up on my wall for years
21–30 of 46 posts
Re: That fractal that's been up on my wall for years
#22Nice writeup! I was hoping to see a photo of the fractal on your wall.. Nice link to Knuth video that I somehow have missed.
Re: That fractal that's been up on my wall for years
#23Nice writeup! I was hoping to see a photo of the fractal on your wall.. Nice link to Knuth video that I somehow have missed.
Isn’t that it on the left in the last image?
Re: That fractal that's been up on my wall for years
#24[dead]
Re: That fractal that's been up on my wall for years
#25Outstanding work and a delightful read.
Wow
Re: That fractal that's been up on my wall for years
#26Now make a tiling game engine that uses these!
Re: That fractal that's been up on my wall for years
#27Thought I'd check the arithmetic for 2 two-digit numbers, and it works!
I expect 41+14 to be 12 (two right plus two up equals two right and two up).
Long addition in long form below uses:
'=' to show equivalent lines (reordering of terms (1+2=2+1), spliting numbers (41=40+1), adding single digits (1+4=22))
'->' for when the algorithm gives a digit
'
41+14
= (40+1)+(10+4)
= 40 + 10 + (1+4)
= 40 + 10 + 22
-> 1s digit = 2
10s digit = 1
done
== 12
It still works in the alternative system (14+21 should equal 12)
14+21
=10+20+42
->2
1
Re: That fractal that's been up on my wall for years
#28Nice writeup! I was hoping to see a photo of the fractal on your wall.. Nice link to Knuth video that I somehow have missed.
Isn’t that it on the left in the last image?
Yeah, maybe it is. It would be cool to make it much bigger, frame it and put it on the wall. Or create a mosaic tiled artwork, similar to Knuth’s dragon curve wall.
Re: That fractal that's been up on my wall for years
#29I had this one up the wall (giant print) at a place I worked:
https://raw.githubusercontent.com/cies/haskell-fractal/refs/... [17MB, sorry Github]
It contains the Haskell code that produced it: https://github.com/cies/haskell-fractal
Especially the `sharpen` function was interesting to come up with (I used some now-offline tool to do curve fitting for me): https://github.com/cies/haskell-fractal/blob/master/fractal....
Fun little project. :)
Re: That fractal that's been up on my wall for years
#30This went much deeper and harder than expected. One has to admire the dedication.
Question to the author: what would you recommend to hang on my kid’s wall today?