Compound miter brainteaser

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And I guess you can say that anyone that doesn't spot and correct the mixed use of radians and degrees probably shouldn't be trusted with such dangerous formulas!? <g>

Thanks. I'm looking forward to reading that.
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says...

i just work in "degrians" until it's time to hit the calculator.
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LOL! I'll have to remember that one!
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Alex -- Replace "nospam" with "mail" to reply by email. Checked infrequently.

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Surely this a simple problem. Akin to cutting crown molding, where the number of sides are plugged into the 360 and divided by two to get the miter, and the spring is replicated on the bed of the cutting table, or mathed out to be cut on the flat according to existing tables. The more interesting concern is that the butting joints be undercut, so as to avoid expansion under the inevitable expansion under moisture absorbtion, which would destroy the geometry quickly. This is a carpenter's problem, rather than one for the mathematicians, and a decent carpenter would say to allow for a sixteenth between the joints, along with the underbevel, so that the whole structure has a decent chance of survival. (caveat - it is often assumed that there is no expansion along the lateral line but in this situation it must be alllowed for by creating a relief space and an undercut at the joints)
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