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Spiral Helix Structures
Explore helical structures.
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Recursive helical spirals
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Discussion
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I would describe these helix as recursive helical spirals of the second order.
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Recursive helical spirals
updated 3 years, 3 months ago
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Does POV-RAY tilt the helix angles a bit by default, or is that an option intentionally selected? Is this what you mean by saying “recursive”?
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What I mean by recursive, is that the base structure is a helix, (the wider red or blue windings) and that a second helix is wrapped around the first.
In a separate post, I have a third order helix where another helix is wrapped around the second one. I could do this recursively again and again, time permitting.
The tilting could be an artifact of my program, since I’m using XYZ coordinates. I’ll have to look into the spherical coordinate system that Joe referred.
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I happen to like this new use of the word “recursive”, thanks for your usage.
We may otherwise take the initial circle, (as the cycle of orbiting a path, while the helix makes it’s first full turn), as the original object to first recur, successionally adding cycles along a path. Convention taught us that the helix circles an axis and eventually technology taught to use words like turns or winds or coils. Nature shows us that orbits recur universally, perhaps in all matter, with cycles along paths of other orbits.
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I look forward to what you may find out about coordinate systems of POV-RAY. The progress is impressive.
In commercial geometry apps, I’ve not seen optional coordinate systems such as internal parts having coordinate systems of their own, or not until and unless the given object, be it simple or complex is subdivided. (After each subdivision an added coordinate set can be used but I find little use for that). All objects otherwise respond only to x,y,z for the given project.
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