The quadrangular space (or quadrilateral space or foramen humerotricipitale) is one of the three spaces in the axillary space. The other two spaces are: triangular space and triangular interval.Muscles on the dorsum of the scapula, and the Triceps brachii. The quadrangular space (or quadrilateral space or foramen humerotricipitale) is one of the three spaces in the axillary space. The other two spaces are: triangular space and triangular interval. It is bounded by: It transmits the axillary nerve and posterior circumflex humeral vessels (artery and vein).