Boids behaviour with Hoopsnake. Simply by double clicking on the Hoopsnake component in the definition and then adjust the preferable angles and click loop. If you have any questions on one of the images, please do not hesitate to ask. These very precise digital models allow students to implement what they learn from their physical models, to simulate even more design options and further understand the rules behind them. To do so, they used Grasshopper and its numerous plugins provided by generous developers. 
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The second video is a very simple example of recursion using Hoopsnake by Volatile Prototype grasshopoer Grasshopper: If you have any questions on one of the images, please do not hesitate to ask. The two examples are based on a cube and a tetrahedron. The growth is linear; expanding by one module with each step.
designcoding | Basics of Hoopsnake; Recursive Definitions
Grasshopper is a graphical algorithm editor integrated with Rhinoceros 3D modelling tool and a 18, strong community exchanging ideas and helping each other on the Grasshopper3d. Below is my favourite image: Physical reality is much more than surfaces on a screen therefore students created complex parametric models working as systems linked to many forces gravity, environment, structure…etc… and not just finished objects.
The first video shows the trail left by points constrained by springs, end points and gravity. Progression of a Koch snowflake as it is graashopper by a recursive definition I wrote in grasshopper Koch snowflake in Grasshopper Application of the same principle for a regular tetrahedron made through a recursive hrasshopper definition.
To do so, they used Grasshopper and its numerous plugins provided by generous developers.
A line rotates on another line and this new line becomes the currrent one on which the rotation is done and so one and so forth. Application of the same principle for a regular tetrahedron made through a recursive hrasshopper definition.
The video indicates how you do it. Simply noopsnake double clicking on the Hoopsnake component in the definition and then adjust the preferable angles and click loop.
Growth using Hoopsnake - Grasshopper (mirror with random surface) | P | Grasshopper rhino
Depending on the angle of the rotation and its location on the curve, these amazing patterns get created. One of our main ambitions was to link physical and digital experiments so that hooopsnake feeds the other. You can repeat the operation as many times as you want with different variation of angles and once the satisfied result is there you can bake the meshes into Rhino and then use them to render.
It was done with Grasshopper and the free Kangaroo plugin by Daniel Piker.
These very precise digital models allow students to implement what they learn from their physical models, hooopsnake simulate even more design options and further understand the rules behind them.
I hope that this will help others to design amazing things! The Arch moves up and to the side, leaving a beautiful trace which reminded me of the pictures of Edouard Muybridge.
Tag: hoopsnake
Below are most of the printscreens that I used to help the students with their journey into parametric modelling which is based on help that I also received previously.
Progression of a Koch snowflake as it hoopdnake described by a recursive definition I wrote in grasshopper. Boids behaviour with Hoopsnake.

Koch tetrahedron Paper model for Koch tetrahedron Paper model. The position of each new module is determined by a new randomly selected face of the preceding module.

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