Working on a large prototype segmented sphere made from pine 2x materials, each ring segment is 1.5 x 1.5 in dimension starting out with an approx. 19-inch diameter ring. Is there a magic ratio or formula I can use to determine the length of the next outer ring as I am progressing from the largest ring working my way down to the next smaller ring in the stack?
I usually make a full scale drawing and make measurements for each stack and determine the segment lengths from those measurements. I was trying to wrap my head around this geometry but I am a little distracted with multiple issues this week. With the segment dimension being square I would think there would be a ratio or multiplier to use to calculate the progressively shorter segment lengths? Old timers is setting in this week. A circle is very uniform? I am starting with (12) 15 degree 5-inch long segment for the largest ring, the next ring stack is about 4-7/8 inches long, the next stack is progressively shorter as you work your way out to the last ring.
Is there a ratio or multiplier that can be used against the first segment length to determine the next segment length?
I usually make a full scale drawing and make measurements for each stack and determine the segment lengths from those measurements. I was trying to wrap my head around this geometry but I am a little distracted with multiple issues this week. With the segment dimension being square I would think there would be a ratio or multiplier to use to calculate the progressively shorter segment lengths? Old timers is setting in this week. A circle is very uniform? I am starting with (12) 15 degree 5-inch long segment for the largest ring, the next ring stack is about 4-7/8 inches long, the next stack is progressively shorter as you work your way out to the last ring.
Is there a ratio or multiplier that can be used against the first segment length to determine the next segment length?