As an exponent in a prime factorization, 1 is generally not written.
For a square root, the 2 is not written in the radical (except of course for sqrt(2)).
Is there something similar with 3?
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I can't recall anything in mathematics where 3 is tacitly understood. I suppose you are meaning limited to mathematics.
Rhombicuboctahedron
No, I do not believe so.
3 is always shown.
Only a few numbers get to do what you say.
1 as an exponent.
2 as the square root.
10 as the base of a log.
There are probably a few others, but I don't beleive three does anything.
david
space usually means 3 dimensional space