Final answer:
The tibial nerve divides into the medial plantar nerve, lateral plantar nerve, and sural nerve, with division typically occurring near the medial malleolus. The sural nerve branches off higher in the calf.
Step-by-step explanation:
The three main branches of the tibial nerve are the medial plantar nerve, the lateral plantar nerve, and the sural nerve. However, the question seems to mix up the terminology related to arteries and nerves. While the tibial nerve is indeed a nerve, the text provided revolves around arteries.
Assuming the question intends to focus on the nerve, it should be noted that the tibial nerve typically divides in the region of the medial malleolus, where it separates into the medial and lateral plantar nerves to supply the sole of the foot. The sural nerve branches off from the tibial nerve higher in the calf and supplies sensation to the lower leg and lateral foot.