Final answer:
A four-centered arch with a much larger inner radius than the outer pair is known as a Tudor arch. These arches are seen in Tudor-era English architecture and similar styles are present in other forms of historical architecture such as Islamic and Gothic, notably in structures like the Seville Cathedral and the Basilica of St. Denis.
Step-by-step explanation:
The description of a four-centered arch with an inner pair of curves having a much larger radius than the outer pair refers to a Tudor arch. Tudor arches are characterized by their four centers, two of which form the inner, wider curves, and the other two create the more sharply curved outer edges that meet at the peak or crown of the arch. This architectural feature was prevalent during the Tudor period in England and has been used in various structures, including doorways, windows, and decorative elements.
A prominent use of polylobed or multifoil arches, which could encompass Tudor arches or more complex shapes, can be seen in historic structures, including Islamic or Gothic architecture. For example, at the Seville Cathedral in Spain, one can observe the striking contrast presented by such arches. Similarly, the Basilica of St. Denis showcases the importance of pointed arches in Gothic architecture, highlighting their ability to distribute weight more downwards than outwards, allowing for the construction of thinner walls and larger windows.