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- 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!!
- 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?
- 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 don’t 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 distance…right…. but I don’t want to manually calculate anything. The software is supposed to do that all for me…or 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 isn’t 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?
- 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!!
- 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?
- 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 don’t 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 distance…right…. but I don’t want to manually calculate anything. The software is supposed to do that all for me…or 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 isn’t 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?
Accepted solution
I’ve 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 ****, it’s hard and complex! Maybe someone can enlighten me with a simpler more straight forward method… 
I’ve 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 ****, it’s hard and complex! Maybe someone can enlighten me with a simpler more straight forward method…
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