Question

recent research suggests that islamic art seems to have been ahead of its time. based on their use of symmetrical polygonal shapes to create patterns that can extend onward into infinity, it seems that these mathematician artists were using principles of a branch of mathematics known as quasicrystalline geometry, a complex field established centuries later by modern mathematicians. some examples of quasicrystalline geometry in islamic art have been found dating back to the 15th century. while the researchers dont know for sure if the islamic mathematicians had worked out the complicated underlying formulas, the art shows at least an intuitive understanding. until recently, it was thought that the islamic artists exclusively used zigzag lines drawn with rulers. however, through continued study, it became evident that islamic design patterns gained complexity through time. this increasing complexity suggests that their planning had definitely moved beyond just a compass and ruler.
what words in the text did you practice ahead of time for fluency?

Explanation:

The question asks for words practiced ahead of time for fluency. Looking at the text, words like "quasicrystalline" (a complex term), "symmetrical" (describing shapes), "polygonal" (related to geometric forms), "definitely" (a common adverb), and "complexity" (a key concept in the text) are likely candidates as they are either technical, important for understanding the content, or of a certain length/difficulty that might require prior practice for smooth reading.

Answer:

quasicrystalline, symmetrical, polygonal, definitely, complexity