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I have been trying to figure out a problem in geometry. I an trying to make a dictionary stand.
I am going to turn the post and then attach the lectern at the top, no problem. But, the base is different. I have decided to make legs by "bent laminations". This means I build a framework and then cut all the wood into thin pieces and then put them with glue into the framework.
After the three legs are dry I am going to dovetail the ends that attach to the post. Now the problem, I can either attach the legs with a sliding dovetail into a triangle or to the round pole. The wood pole at this time is square from top to bottom.
Plan number 1.
One plan is to cut the bottom 6 inches into a three sided column and turn the rest into a round pole. The three sided end would then have the matching dovetail cut into the center of each side vertically so the leg with the dovetail cut into it can be slid into place.
Plan number 2.
The other plan would be to turn the entire post round. Then the dovetails (3) would be cut equal distance apart on the round column up 6 inches so the leg can be slid into place. The problem here is the leg inside the dovetail needs to be cut out so the leg will "mould or fit" around the column without any air showing.
Problem:
I do not know how to make a triangular column with equal length sides using the maximum side length from the square or to find the points equal distant around the round column to make the sliding dovetail. Also how do I make the leg "mould or fit" around the column? Do you have any ideas?
I am going to turn the post and then attach the lectern at the top, no problem. But, the base is different. I have decided to make legs by "bent laminations". This means I build a framework and then cut all the wood into thin pieces and then put them with glue into the framework.
After the three legs are dry I am going to dovetail the ends that attach to the post. Now the problem, I can either attach the legs with a sliding dovetail into a triangle or to the round pole. The wood pole at this time is square from top to bottom.
Plan number 1.
One plan is to cut the bottom 6 inches into a three sided column and turn the rest into a round pole. The three sided end would then have the matching dovetail cut into the center of each side vertically so the leg with the dovetail cut into it can be slid into place.
Plan number 2.
The other plan would be to turn the entire post round. Then the dovetails (3) would be cut equal distance apart on the round column up 6 inches so the leg can be slid into place. The problem here is the leg inside the dovetail needs to be cut out so the leg will "mould or fit" around the column without any air showing.
Problem:
I do not know how to make a triangular column with equal length sides using the maximum side length from the square or to find the points equal distant around the round column to make the sliding dovetail. Also how do I make the leg "mould or fit" around the column? Do you have any ideas?
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