e/Moufang polygon

Information
has gloss	eng: In mathematics, a Moufang polygon, named after Ruth Moufang, is an irreducible building of rank two that admits the action of root groups. In a major book on the topic, Tits and Weiss classify them all. An earlier theorem, proved independently by Tits and Weiss , showed that a Moufang polygon must be a generalized 3-gon, 4-gon, 6-gon, or 8-gon, so the purpose of the aforementioned book was to analyze these four cases. As an example to briefly summarize the classification of Moufang 3-gons—these are projective planes, the points and lines of the plane being the vertices of the building. To illustrate the main types of Moufang 3-gons it suffices to work with real forms of Lie groups. In this case the projective plane has a coordinate ring that is a real division algebra, and there are four of these, having dimensions 1, 2, 4, and 8: the real numbers, the complex numbers, the quaternions, and the octonions.
lexicalization	eng: Moufang polygon
instance of	e/Algebraic structure