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Actobotics hole locations
When I saw the Actobotics channel first time, the hole patterns seemed to be quite irregular. Now I have learned the geometry and would like the other teams to take benefit of the Actobotics regular hole patterns.
The foundation is in two concentric circles with diameters 0.77" and 1.5". Most holes are located on the circles at the diagonals. Four additional holes are on the smaller circle at the vertical and horizontal axes.
The holes in the diagonals are at the corners of two squares. The smaller square side is 0.544472" long (= 0.77*sqrt(2)/2) and the larger square side is 1.06066" (= 1.5*sqrt(2)/2) long.
To calculate the locations of the holes, we need to know that the channel width is 1.5" and the patterns are repeated on every 0.75". These numbers are combined with the half side lengths (0.272236 and 0.53033).

The 0.5” holes in the center of the squares are repeated on every 0.75”.
On the 1.5” ring there are 0.14” holes in the 4 diagonals at rows R1 & R7 in columns C1 & C11.
R1 and C1 at 0.75 – 0.53033 = 0.21967
R7 and C11 at 0.75 + 0.53033 = 1.28033
Additional 1.5” ring holes from neighbor patterns in columns C5 and C7.
C5 at 0.53033, C7 at 1.5 – 0.53033 = 0.96967
On the 0.77” ring there are 0.14” holes in the 4 diagonals and in the 2 vertical center-lines at rows R2, R3, R5, and R6 in columns C4, C6, & C8
R2 at 0.75 – 0.77/2 = 0.365
R3 and C4 at 0.75 – 0.272236 = 0.477764
R5 and C8 at 0.75 + 0.272236 = 1.022236
R6 at 0.75 + 0.77/2 = 1.135
C6 at 0.75
Additional 0.77” ring holes from neighbor
patterns in columns C2 and C10
C2 at 0.272236, C10 at 1.5-0.272236 = 1.227764
The holes shared on the 0.77” horizontal line are not matching like all the other holes between the patterns.
For that reason the holes have a larger 0.16” diameter.
R4 at 0.75, C3 at 0.75/2 = 0.375, C9 at 1.5 – 0.75/2 = 1.125
Last edited by Ollie; 05-12-2015 at 12:21 AM.
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The series 10 beam can be attached inside the C-channel.
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