Every fingering that fits a hand
0131
open
0764
easy
x764
easy
ca9a
hard
ca9x
easy
What is true of it
Gdim is G, B♭ and D♭ — 1, b3 and b5 counted from G.
The easiest of the 5 fingerings below is 0131: 3 fingers, held at the 1st fret.
1 of them use open strings, which is what makes a shape quiet to change to.
Where its notes are on the neck
The brass dots are G, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
Gdim/B♭
3131
Gdim/D♭
x131
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.