Problem: Text: In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle, called a lateral face. It is a conic solid with polygonal base. A pyramid with an n-sided base has n + 1 vertices, n + 1 faces, and 2n edges. All pyramids are self-dual.

Question: does a pyramid always have a square base?
A: no

Problem: Text: Holes in one most commonly occur on par 3 holes, the shortest distance holes on a standard size golf course. Longer hitters have also accomplished this feat on longer holes, though nearly all par 4 and par 5 holes are too long for golfers to reach in a single shot. While well known outside of golf and often requiring a well hit shot and significant power, holes in one needs also a significant element of luck. As such, they are more common and considered less impressive than other hole accomplishments such as completing a par 5 in two shots (an albatross). As of October 2008, a condor (four under par) hole-in-one on a par 5 hole had been recorded on four occasions, aided by thin air at high altitude, or by cutting the corner on a doglegged or horseshoe-shaped hole.

Question: can you get a hole in one on a par 4?
A: yes

Problem: Text: The Byzantine Empire, also referred to as the Eastern Roman Empire, was the continuation of the Roman Empire in the East during Late Antiquity and the Middle Ages, when its capital city was Constantinople (modern-day Istanbul, which had been founded as Byzantium). It survived the fragmentation and fall of the Western Roman Empire in the 5th century AD and continued to exist for an additional thousand years until it fell to the Ottoman Turks in 1453. During most of its existence, the empire was the most powerful economic, cultural, and military force in Europe. Both ''Byzantine Empire'' and ''Eastern Roman Empire'' are historiographical terms created after the end of the realm; its citizens continued to refer to their empire as the Roman Empire (Greek: , tr. Basileia ton Rhomaion; Latin: Imperium Romanum), or Romania (), and to themselves as ''Romans''.

Question: was the byzantine empire a continuation of the roman empire?
A:
yes