One of the main calligraphy styles used to write the Perso-Arabic script. Nastaliq developed from naskh in 14th-century Iran. It is characterized by short ascenders and letter forms with bold diagonal strokes.  It was used to write Classical Persian and also for Ottoman Turkish poetry, but rarely for Arabic. Web resource here.

Abd al-Rahim Anbarin-Qalam. Colophon in nastaliq from a manuscript of Nizami’s Khamsa (det.). 1595. BL Or. MS 12208, folio 325 verso. British Library, London.