All Videos Tagged Attractor (Grasshopper) - Grasshopper

C# - Edward Lorenz Strange Attractor - Chaos

2017-08-26T01:57:37.039Z

I decided to code Edward Lorenz Strange Attractor while my reading of Chaos, Making a New Science, by James Gleick. The code uses the standard constant variables defined by Lorenz on his 3 differencial equations that describe his attractor in a chaotic behavior when rho > 24.7. All the values of X =sigma(Y-X) *dt never repeat themselves through each moment in time making their distribution totaly random, we can see this at the end of the video with the linear graph. The beautiful thing is that even though the values of X are randomly distribuited over time, the result is a beautiful ordered shape, this in essence is the principal of chaotic systems. Or as James Gleick would say " chaotic systems embed hidden ordering principles"

X =sigma(Y-X)
Y= -X*Z+rho*X-Y
Z = X*Y-betta*Z

X = dx/dt -------> change of X over time
Y = dy/dt -------> change of Y over time
Z= dz/dt -------> change of z over time

rho = 28
betta = 3/8
sigma = 10

http://mathworld.wolfram.com/LorenzAttractor.html

Python Grasshopper Dynamic Attractor

2015-07-08T06:01:17.716Z

The video isn't played fast its the real time response to attractor

Distance Scaling Through Mesh

2015-04-04T11:49:34.264Z

Scaling the radius of mesh struts based on shifting attractor using exoskeleton and weaverbird. Colour representative of mesh thickness.

http://abstractmachine.co.uk/

Frame Distortion

2015-04-03T21:01:04.790Z

Swelling of framework and nodal connection point based on the distance from an attracting factor

http://abstractmachine.co.uk/

Scaling Without using attractors .

2014-12-28T13:28:10.208Z

Scaling without using Attractors in grasshopper .uses only one(main ) paneling component.