An antiparallelogram (or crossed parallelogram) has the normal two pairs of congruent, opposite sides, but one pair has been crossed, forming what appears to be two touching triangles. AntiparallelogramĪn unusual complex polygon is the antiparallelogram, which looks a bit like bird wings. They also do not create new vertices where they cross. Because you twisted two sides, you still have those two sides (they do not double in number by crossing). If you could lift part of the polygon up and twist it, so two sides cross one another, and then put it down flat again, you would have a complex polygon. The complex quadrilateral still only has four sides and four interior angles.Ĭomplex polygons may be hard to imagine unless you think of them with elastic sides. Just as you do not count the crossed sides as four line segments, you do not count the two angles they create as interior angles. A complex quadrilateral is that familiar bowtie shape, but it is considered to have only four sides, because one pair of opposite sides has twisted to cross each other. For every polygon with four or more sides, a complex polygon can be drawn. *At some point in the future I would like to play around with Google’s search, and figure out (to the best of my ability) how it deals with and/or/not/parentheses, and write about it on this blog.The family of complex star-shaped polygons generally share the Greek number prefix and use the suffix -gram: pentagram, hexagram, octagram, and so on. From what I can tell it was John Conway and Antreas Hatzipolakis who completed the namings up to the millions. However, the number of sides vary, as given below: Shapes of Polygon. These all are the perfect shapes and examples of a polygon. Here is what I found.Īpparently there are two naming conventions (one with kai’s and one without). For example, a polygon with 47 sides would be called tetracontakaiheptagon or a tetracontaheptagon (of course, in practice mathematicians usually opt for the more compact and boring 47-gon). Following are the most common geometrical shapes of a polygon. One thing I found interesting while searching for information about polygons was their naming conventions. Here is a graph to illustrate the relative popularity of the n-gons.
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