Source: Tafsir al-Ahlam al-Kabir (Ibn Sirin)
The prayer rug in a dream is a man's world. Its spaciousness is the spaciousness of his world. Its beauty is the beauty of his world. Prostrating on it indicates following the Sunnah.
Source: Ta'tir al-Anam fi Ta'bir al-Manam (Al-Nabulsi)
The prayer rug indicates a righteous woman. Sitting on it indicates control over the world. A new prayer rug is a new world approaching.
Source: Al-Isharat fi Ilm al-Ibarat (Ibn Shahin)
The prayer rug is interpreted as a woman or a position. Whoever sees himself folding his prayer rug is separating from his wife or his position.