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Ori Gilboa

In my project I tried to develop a curved walk-able 3D path. At first, it sounds as an easy assignment to achieve. I was a bit surprised that for the right orientation of the surface and the railing it proved to be a mathematical challenge that required some thinking, as there is no specific tool in grasshopper that I could use.

At first I tried to use the command of create perpendicular frames – the result is a series of perpendicular frames to a 3D curve. Unfortunately, in this situation there is no way to orient up and down – which is essential for paths and railings. The result is more like a rollercoaster path rather than a walkable one. For this reason I rethought about how to generate it in a thorough way. Base Geometry: The path required a 3D curve. The curve splits into equal segments – and each is being assign with the railing profile – with changeable width and height. In the end – the loft and cap command makes it into a 3D object.

Orientation: In order to make the path walkable each part supposed to be horizontal to the ground plane. For that – the curve is projected into the XY plane. Afterwards, the XY curve is split and a profile is generated in each segment. This creates a horizontal path – but for a 3D curving and climbing-up path this won’t do. The next step is that every segment is moved-up into its appropriate point in the original curve. Only then the loft command is applied.

Grasshopper code and Diagram
First Path calculation
Second path calculation
First path view
second path view
Visualization 1
Visualization 2