A D♯ Augmented (D♯aug) chord contains the notes D#, B, G. It is built from the augmented formula 1 - 3 - ♯5, with D# as the root.
Why do augmented chords repeat every four frets?
An augmented triad divides the octave into three equal four-semitone steps. Move the shape up four frets and every note lands on another note of the same chord, so the chord you get back is the one you started with — just re-rooted. That is why there are only four distinct augmented triads across all twelve keys.