The corners in our Dynamic Foam are like gates in an electronic circuit or valves in a 'classical' flow system. When the angle is Acute, smaller then 90 degrees (< 90°), the flow is cut-off.
This is the main rule that regulates our system and generates structure (closed-knots) like Leonardo's bridge.
So in our Foam, Voronoi-mesh, we need to detect the Acute angles ...
... were the angles pass the 90° mark:
I have been investigating 3 methods to solve our Acute Angle Detection:
I. Geometric
There are 3 geometrical methods to calculate the angles when you have the 3 reference points, you can check it all here: https://www.wikihow.com/Calculate-Angles
II. Mechanical
The mechanical method uses a perpendicular placed marker with:
length = distance from pivot-point.
You can test it with the Shadertoy example:
Instead of a perpendicular-stripe you can also use a circle and do a boolean cut ...
... and for 3D use a Sphere with a plane to do the cut.
Technically in the program we can:
A. Implement the calculation at each edge-end.
B. Do the calculation once and use it as a stencil to 'print' it at each edge-end.
III. Kernel
A pixel 'kernel' that does a 'numbers' match-check.
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Although I haven't throught this through yet. 😁
To be continued ...
