Before we could get started on the inner wall, we needed to have a theoretical model to plan our pieces.
The dome that we chose had 10 edges for the base. This ten-sided shape is a simple decagon and what the wall has to conform to. The amount of degrees in a regular polygon is equal to the product of 180 and the number of edges minus 2 and the interior angle is that divided by the number of edges. This means that a decagon has (10 – 2) * 180 = 1440 degrees and its interior angle is 1440 / 10 = 144. Since we start from straight pieces of wood, we can view the current state as two pieces aligned along the same line, or 180 degrees, which needs to bend to 144 degrees. This means that the angle we need to cut for each piece of the wall is 180 – 144 = 36 degrees, but we also want it to look good and have a little more structure when connected, so we would split this angle into a 18 degree cut on both ends of the wall.
We are not done yet, though, because we need to account for an entrance for the greenhouse, so we basically take out one of the ten pieces of the decagon and bring the ends straight out. For these corridor pieces, there is actually a 90 degree rotation from the orientation of the theoretical 10th piece, so we have to subtract 144 and 90 from 360 which gives us 126 degrees for the angle between pieces. The actual angle that needs to be cut is 180 – 126 = 54 degrees. Both the end and corridor pieces will have a 54 / 2 = 27 degree cut each to complete our inner wall..
Grow with the flow!
