EDIT: As I finally managed to get my hands on the handle "@nicogs" I have had some trouble with creating issues. Only through the github app on my phone, issues were created without errors.
Apparently the transition from my old handle is done, might have created 2 separate issues.
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Chaos Theory is the idea that tiny changes in initial conditions will escalate into much bigger differences in the future.
The first part of my submission showcases this theory displaying several double pendulums with very small differences in length, mass or both.
👉 Chaos
Another variable that defines a double pendulum are the angels made by both pendulums. While the mass and length of the pendulums will stay the same over time, the angles will evolve over time and rarely stay constant.
In the second part of my submission I explore the change of initial angles and how they evolve over time. On one axis we’ll change the first angle and in the second the second angle. Notice how the initial harmony turns into chaos towards the edges while the centre stays harmonious for a longer time.
👉 Matrix
Now we could visualise how these angles evolve, building upon the matrix of the previous part by giving each cell a color. Now both angles are mapped to an rgb value.
This is how we get to the third part of this submission. The double pendulum fractal. Where every pixel is coloured based on the angles of a double pendulum.
👉 Fractal
EDIT: As I finally managed to get my hands on the handle "@nicogs" I have had some trouble with creating issues. Only through the github app on my phone, issues were created without errors.
Apparently the transition from my old handle is done, might have created 2 separate issues.
--
Chaos Theory is the idea that tiny changes in initial conditions will escalate into much bigger differences in the future.
The first part of my submission showcases this theory displaying several double pendulums with very small differences in length, mass or both. 👉 Chaos
Another variable that defines a double pendulum are the angels made by both pendulums. While the mass and length of the pendulums will stay the same over time, the angles will evolve over time and rarely stay constant.
In the second part of my submission I explore the change of initial angles and how they evolve over time. On one axis we’ll change the first angle and in the second the second angle. Notice how the initial harmony turns into chaos towards the edges while the centre stays harmonious for a longer time. 👉 Matrix
Now we could visualise how these angles evolve, building upon the matrix of the previous part by giving each cell a color. Now both angles are mapped to an rgb value.
This is how we get to the third part of this submission. The double pendulum fractal. Where every pixel is coloured based on the angles of a double pendulum. 👉 Fractal