Hi all,
FYI i've just successfully upgraded server hardware, actually doubled the RAM memory and SDD (storage) size.


Triangle Numbers converted to Circular Numbers

I've been primarily dealing with stacking pebbles or circles or spheres to acquire consecutive sums such as 1+2+3.. etc.
But I had the idea after investigating the geometry behind Violins to try a different approach that is along the lines of ED Leedskalnin's geometry problem of 115 degrees.. which is basically 2 radians. In other words, it's the same arc length as the diameter of the circle... in his case 260 miles. I was curious what it would look like so I laid it out in Autocad and here is the result:

I put numbers and alternated the colors to help distinguish what is going on. The 1 unit has 1 radian of arc length.. then 2 has 2 radians.. etc. There is only 6.28 radians per circle.. so I can't go further without overlapping itself. Not sure how to proceed past here. I see the violin chose to take the inverse arc from a different center point.


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