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> I've been staring at this for 20 minutes and I'm obviously missing
> something really obvious. Would one of you be kind enough to point out
> my mistake?
The front left bottom corner (A),
the rear right bottom corner (B),
and rear right upper corner (C),
form a right triangle ABC where
length AB = sqrt 2
length BC = 1
length CA = sqrt 3
so the angles are
BAC = 35.264389
ACB = 54.735610
ABC = 90
so
box {0,1
rotate 45*y
rotate 54.73561*z
... etc
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