The tubes go 45° across a cube, and one of them gets cut on the horizontal plane, the other on a vertical plane. The miter isn't clear to me for that. It is also not clear how many degrees apart they should be. A quick Solidworks construction:
Clocked exactly 60° degrees.
Worked out well:
diameter * Pi /6 gave me the arc length for 60° which I put on a note card and wrapped.
I used a piece of angle to transfer clocking marks from one end to the other:
Anyway it is wicked easy to get confused with this which is why I like to work in PVC first; Which way do I clock 60°? Also do I want 35.26°, or do I want the compliment of that when I set the miter saw?
Nothing makes me feel dumber than trying to cut crown molding with no chart, and this is sort of like that. There are lots of weird things like this that I think comes from us constantly trying to break down 3D things into 2D ideas. Like out of the three perpendicular planes why is there one horizontal plane (top) and 2 vertical (front and right). maybe horizontal and vertical are inherently bad language to describe 3D. I think it was Wittgenstein that wrote about how the language we create and understand limits the ideas we can have and how we can communicate. Maybe this is why things like cross products and angular acceleration seem so weird to us (we live with 2D language and ideas). Or maybe two eyes is the wrong number to fully take in a 3D world. Maybe depth perception is not really the same thing as seeing 3D which we couldn't even comprehend.
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