Open shape
xx0231
Dm is the D minor chord. Its notes are D, F and A. The lowered third gives this triad its darker color.
xx0231
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10-12-12-10-10-10
Numbers show frets from the low E string to the high e string; x means don't play that string.
Dm is the ii chord in C major, the iii chord in B♭ major and the vi chord in F major. That makes it a natural fit in songs written in those keys.
Every D, F and A on the first 12 frets. The filled dots are the root, D. Build your own shape from any nearby group.
Other D chords
Other minor chords