Scales to Play Over Ddim
Every chord is a subset of several scales: any scale that contains all of a chord's tones fits over it. Pick a chord to see the matching scales from its own root, the major keys the chord belongs to, and full fretboard diagrams for every scale on guitar.
A Ddim chord contains the notes D – F – Ab. Any scale that includes every one of those 3 tones fits over it — from the root D, that means D Blues, D Locrian, D Half Whole Diminished, D Whole Half Diminished, D Gypsy Major and D Gypsy Minor. They differ only in the notes between the chord tones, and that is where each scale gets its color.
Ddim is also diatonic to one major key: Eb major (relative minor Cm). In a song from one of those keys you can also solo with the key's own major scale or its relative minor pentatonic across the whole progression, not just this chord.