Draw a Dodecahedron


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A buddy of mine periodically sends me e-mails asking the right way to
draw this, that or the opposite factor. He typically surprises me with
some type of off the wall request. I at all times get pleasure from getting these
e-mails as a result of they typically make me take into consideration completely different
approaches. Normally it’s one factor for me to simply make the
drawing however since I want to have the ability to present my work and find a way
to elucidate what I did, he forces me to search for the simpler
path.

This time he was after drawing a daily dodecahedron. That’s,
a offered with 12 faces. Every face is a daily pentagon. His
final aim was to find out the bevel angle he’d want to chop
on the items of wooden he’ll use to make an actual one. We each
know that the bevel angle may very well be calculated to as many
decimal locations as your need after you calculate the angle
between the faces. And there’s in all probability any variety of web sites
that will give the angle between faces with none math at
all. However there’s one thing sort of nice about working the
angle out graphically and with out utilizing any math which is what
I present within the following video.

My first thought was to attract a 3D form for one of many faces
after which attempt to determine the angle. Then I considered
folding one out of paper. It occurred to me that making a
digital paper one in SketchUp would assist to simplify the puzzle
right down to the naked necessities. The toughest half was determining
the place the corners would meet in area and as I hope you’ll see,
that wasn’t actually tough in any respect.


This was all performed with native instruments. Though I did this in
SketchUp 2016, it may all be performed in any model.

Dave

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