Why did Allah Almighty mention wiping over the feet in the verse of ablution, "and wipe over your heads and your feet up to the ankles," while it is known that the feet are to be washed? Is there a miracle in that, and what is the wisdom behind mentioning wiping instead of washing?

The obligation in ablution is to wash the feet, not to wipe them. The proof for this is what Al-Bukhari and Muslim narrated from Abdullah ibn Amr, may Allah be pleased with them both, who said: "The Prophet, peace and blessings be upon him, stayed behind us on a journey we made. He caught up with us when we were exhausted by the afternoon prayer, so we started performing ablution and wiping over our feet. He then called out in his loudest voice: 'Woe to the heels from the Fire!' twice or thrice." Muslim also narrated from Abu Hurairah, may Allah be pleased with him, that the Prophet, peace and blessings be upon him, saw a man who had not washed his heels, and he said: "Woe to the heels from the Fire!"

The noble verse: (O you who have believed, when you rise to [perform] prayer, wash your faces and your hands to the elbows and wipe over your heads and [wash] your feet to the ankles) Al-Ma'idah/6, does not indicate the permissibility of wiping the feet. In the accusative reading (wa arjulakum), it is conjoined to the washed face. In the genitive reading (wa arjulikum), it is conjoined to the wiped head. However, the Sunnah clarified that wiping is only over the leather socks (khuffayn) or ordinary socks (jawrabayn). Some scholars have opined that the wisdom behind mentioning wiping in relation to the feet, even though they are washed, is to indicate moderation in water usage when washing them, as it is customary to be excessive in their washing.