Logo by Trifox - Contribute your own Logo!

END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

this forum will stay online for reference
News: Did you know ? you can use LaTex inside Postings on fractalforums.com!
 
*
Welcome, Guest. Please login or register. July 07, 2020, 03:15:17 PM


Login with username, password and session length


The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!


Pages: [1]   Go Down
  Print  
Share this topic on DiggShare this topic on FacebookShare this topic on GoogleShare this topic on RedditShare this topic on StumbleUponShare this topic on Twitter
Author Topic: Fractals Made from Shape Languages and Fancy Geometry  (Read 1156 times)
Description: A novel fractal tech with a nice tool and some docs
0 Members and 1 Guest are viewing this topic.
Hextakis_Lander
Forums Newbie
*
Posts: 7


« on: May 16, 2017, 08:44:45 PM »

The shape languages are called "Shape Grammars"
The fancy geometry is called "Kisrhombille Tessellation"

You make languages out of shapes and then the shapes interact to create complex shapes, the whole process guided by code.

They're fractals. Infinite. And as customizable as code. It's a geometry programming technology.

---

Here's an overview of the geometry.

https://github.com/johnalexandergreene/Geom_Kisrhombille/blob/master/README.md

---

Here's a tool for making your own custom grammars (it's easy) and looking at pretty pictures.

https://github.com/johnalexandergreene/Forsythia/tree/master/app/grammarEditor

There's a README there. It provides a little overview and explains the UI. There's also a video walkthrough that shows you how to make a simple grammar.

---

Here's the main project. Much pictures and videos. Fractal dive videos too.

http://www.fleen.org/

---

Peruse the github repo for various demos and stuff.
Logged
tit_toinou
Iterator
*
Posts: 192


« Reply #1 on: June 22, 2017, 03:33:57 PM »

I. LOVE. It.

Huge potential.

There's so much I want to do. Feels like the perfect tiling of the plane.

Any idea how to bring this to 3D ?

Cheers
Logged

claude
Fractal Bachius
*
Posts: 563



WWW
« Reply #2 on: June 23, 2017, 05:26:46 AM »

for 3D it would have to be based on cubes, I don't know if the cubes can be subdivided in a way to get a second cubic honeycomb in another orientation (to make it interesting):

https://en.wikipedia.org/wiki/List_of_regular_polytopes_and_compounds#Tessellations_of_Euclidean_3-space


the 2D concept is related to the (more general, but no nice GUI editor) subdivision tiling concept:
http://tilings.math.uni-bielefeld.de/

I used one such tiling (Amman A3 iirc) in my 'mandulia' project: https://mathr.co.uk/blog/mandulia.html
Logged
M Benesi
Fractal Schemer
****
Posts: 1075



WWW
« Reply #3 on: June 24, 2017, 05:22:43 PM »

That is cool! 
Logged

tit_toinou
Iterator
*
Posts: 192


« Reply #4 on: June 28, 2017, 06:10:37 PM »

So all theses fractals are based on the kisrhombille euclidian tiling. I looked into it, I actually liked it at first sight because it made me think of the Pinwheel tiling and its Pinwheel fractal.

Kisrhombille is a actually a rep-tile like thoses :


You take one right triangle with PI/3 and PI / 6 angles and divide into 3 others similar triangles and repeat at infinity to get the 3-6 kisrhombille tiling, no ?

What would be awesome is a way to represent points in a kishrombille tilings with p/q coordinates or something to avoid floating point, in order to create infinite precision zoomable vector art with it (maybe that's what you already did ! I don't understand everything yet smiley )
« Last Edit: June 28, 2017, 06:27:18 PM by tit_toinou » Logged

tit_toinou
Iterator
*
Posts: 192


« Reply #5 on: June 30, 2017, 04:30:45 AM »

I confirm the reptile aspect of the tiling !
Here's the shader : https://www.shadertoy.com/view/lsXfDl  afro
I don't know how to create the tiling from any point on the plane yet, I can only create the tiling from a triangle with this technique
Logged

Pages: [1]   Go Down
  Print  
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
How many fractals have you personally made? Meet & Greet « 1 2 3 4 » Fractal_Artist 47 5123 Last post April 01, 2009, 01:26:04 AM
by Fractal_Artist
shape folding fractals for architecture (TED talk/processing) Fractals Applied or in Nature kram1032 4 2072 Last post June 30, 2017, 07:16:00 AM
by 3dickulus
chaosTV News #4 - Director's Cut Versions - In all 3 Languages chaosTube - News cKleinhuis 0 1002 Last post November 17, 2012, 07:01:03 PM
by cKleinhuis
This is how fractals are REALLY made. Images Showcase (Rate My Fractal) thom 5 855 Last post January 04, 2013, 01:11:34 PM
by LMarkoya
Use svg-graphics as shape in flame fractals: JWildfire V0.71 release JWildfire thargor6 4 1196 Last post June 04, 2013, 01:08:51 PM
by thargor6

Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.126 seconds with 27 queries. (Pretty URLs adds 0.012s, 2q)