Final answer:
The classical order that combines Ionic volutes with Corinthian acanthus leaves is the Composite Order, which emerged in ancient Roman architecture.
Step-by-step explanation:
The classical order that involves superimposing four diagonally set Ionic volutes on a bell of Corinthian acanthus leaves is known as the Composite Order. This order represents a combination of the Ionic and Corinthian orders, typically characterized by a Corinthian-like capital adorned with the Ionic volutes. The Composite Order became notably popular during the Renaissance but originated with the ancient Romans, signifying a blend of the delicacy of the Ionic order with the elaborate decoration of the Corinthian order.