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Old November 26th, 2015, 05:45 AM
niculaegeorge niculaegeorge is offline
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Lightbulb Create torus with ALL surface polygons squares.

1. In 3dsmax when I choose the correct configuration of sides/segments to make the torus inner hole surface polygons, squares, the polygons on the outer circumference of the torus, are now rectangles. Or vice versa. I want all the surface polygons squares, or ALL polygons on the torus surface, are a rectangle that is ALWAYS deformed everywhere on the surface with aspect ratio!!

2. Second approach I've tried, is by using a plane and bend it twice to make it a torus. However, the polygons of the plane must be unevenly distributed on the plane surface, following an exponential formula. More squeezed towards the center or towards the sides of the plane, depending on how the two bend modifiers are applied. How can I split this plane in uneven segments the right way? I don't want to calculate anything. Can't there be an easier solution to my problem?

3. Third approach is to make a circle with uneven segments (more segments towards a side of the circle), and lathe the entire circle around a distant pivot point to make it a torus. Right... How on earth can I split the circle in uneven segments? Obviously, I donít want to do it manually by hand, calculating all the segments for a particular torus. To make perfect squares on the torus surface, the circle segments size depends on the lathe pivot point distanceÖrightÖ. but I donít want to manually calculate anything. The software is supposed to do that all for meÖor not?

These words keep ringing into my ear: "Mesh", "Wave" and "bias"(like in a helix), but I can't seem to make the head and tails of things. My intuition tells me that there must be a RIGHT configuration of modifiers applied to standard primitives or splines to get what I want. Which basically put in 6 simple words is this: "TORUS WITH ALL SURFACE POLYGONS SQUARES".
If there isnít a straight forward solution to this problem, I will be satisfied with approximations. Something like a setting I manually adjust to visually approximate ALL the surface polygons of the torus to a square or a certain rectangle (aspect ratio). I can go with that. But how can it be done?

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Old November 26th, 2015, 08:42 AM
niculaegeorge niculaegeorge is offline
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Arrow Workaround

Iíve kind of manage a workaround, without avoiding manual calculation in excel of the poloidal angles required, calculated obviously based on circle arc length formula. It turns out that only a few toroids get close to what I want. Made a pie slice arc for each poloidal angle calculated in excel. Refined a spline-circle with points aligned to the vertexes of these arcs. And then lathe the resulted spline. Hope the pictures are explanatory. But damn, itís hard and complex! Maybe someone can enlighten me with a simpler more straight forward methodÖ

Torus with all surface polygons squares.jpg

Angles.jpg

Angles.xlsx

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