YOUR ACCOUNT

Home > Forums > Comments on Filters > 

Puzzling Curve by Rachel Duim

Active Topics Search
Login or Register to post new topics or replies
SpaceRay
SpaceRay

Posts: 12298
Filters: 35
Puzzling Curve by Rachel Duim
http://www.filterforge.com/filters/15532.html
Posted: June 18, 2020 4:28 am   Details E-Mail
SpaceRay
SpaceRay

Posts: 12298
Filters: 35
This looks great and like much the idea of it and how it is overlays the source image, and how is made the fractal curve in such aMAZEing way
Posted: June 18, 2020 4:29 am   Details E-Mail
Rachel Duim
So Called Tortured Artist

Posts: 2498
Filters: 188
One persons puzzle is another persons maze smile;-) Thanks to Peano, Hilbert and Moore for figuring out these crazy things.
Math meets art meets psychedelia.
Posted: June 18, 2020 4:04 pm   Details E-Mail
SpaceRay
SpaceRay

Posts: 12298
Filters: 35
Quote
Rachel Duim wrote:
One persons puzzle is another persons maze


I know that it is not really a usual maze, but it looks like it from a distance, and I also wanted to use the word for showing how AMAZING and AWESOME this curves are done.

Quote
Rachel Duim wrote:
Thanks to Peano, Hilbert and Moore for figuring out these crazy things.


Is really excellent how you have been able to mix all these fractal curves into a single filter and do it well, great

Peano Curve Wikipedia

Quote
In geometry, the Peano curve is the first example of a space-filling curve to be discovered, by Giuseppe Peano in 1890.[1] Peano's curve is a surjective, continuous function from the unit interval onto the unit square, however it is not injective
Posted: June 21, 2020 11:37 pm   Details E-Mail
SpaceRay
SpaceRay

Posts: 12298
Filters: 35
Moore Curve

Quote
A Moore curve (after E. H. Moore) is a continuous fractal space-filling curve which is a variant of the Hilbert curve. Precisely, it is the loop version of the Hilbert curve, and it may be thought as the union of four copies of the Hilbert curves combined in such a way to make the endpoints coincide.

Because the Moore curve is plane-filling, its Hausdorff dimension is 2.

The following figure shows the initial stages of the Moore curve:
Posted: June 21, 2020 11:38 pm   Details E-Mail
SpaceRay
SpaceRay

Posts: 12298
Filters: 35
Hilbert Curve Wikipedia

Quote
A Hilbert curve (also known as a Hilbert space-filling curve) is a continuous fractal space-filling curve first described by the German mathematician David Hilbert in 1891,[1] as a variant of the space-filling Peano curves discovered by Giuseppe Peano in 1890.[2]

Because it is space-filling, its Hausdorff dimension is 2
Posted: June 21, 2020 11:45 pm   Details E-Mail
SpaceRay
SpaceRay

Posts: 12298
Filters: 35
sascha-kasper learning curve

Quote
A normal learning curve eventually leads to mastery. But the road is a bumpy one.


Your own learning curve is of course at the top as you are able to make such great, unique and original things.
Posted: June 21, 2020 11:57 pm   Details E-Mail
Rachel Duim
So Called Tortured Artist

Posts: 2498
Filters: 188
Thanks for the details SpaceRay! I did not do Peano, that one was a different seed shape. As for learning curves, I'm so old the curve is flat... or worse. For me the bumpy road is on days the coffee is not working. I never feel I've completely mastered anything, there is always something more to learn. Some stuff is like muscle memory, you just have to do it enough. I knew little about space filling curves until I saw this: Brainfilling Curves. Very educational and fun.
Math meets art meets psychedelia.
Posted: June 22, 2020 1:20 am   Details E-Mail

Join Our Community!

Filter Forge has a thriving, vibrant, knowledgeable user community. Feel free to join us and have fun!

33,712 Registered Users
+19 new in 30 days!

153,533 Posts
+31 new in 30 days!

15,348 Topics
+73 new in year!

Create an Account

Online Users Last minute:

36 unregistered users.

Recent Forum Posts:

Join our Forum Join our Forum
Over 30 000 members!
Join us on Facebook Join us on Facebook
Over 42 000 likes!
Follow us on Twitter Follow us on Twitter
Get updates quickly!
Follow us on Instagram Follow us on Instagram
Tag us #filterforge