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Noun(1) a government building with five sides that serves as the headquarters of the United States Department of Defense(2) the United States military establishment(3) a five-sided polygon

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(1) He calculates the side of a regular pentagon in terms of the radius of the circumscribed circle.(2) This says that the most stable arrangement is a pentagon surrounded by five hexagons.(3) You may know about a pentagon , a hexagon, or an octagon.(4) Write the number 1 through 10 in the boxes below so each side of the pentagon has a sum of 14.(5) When I looked at what she was doing, she was trying to work out (on the napkin) how to calculate the sum of the internal angles of a pentagon .(6) Although it is impossible to inscribe a regular pentagon in a square, an equilateral pentagon can be inscribed in two ways.(7) In the second case, if the convex polygon is a pentagon incorporating all five points, then any four of these points can be connected to form a quadrilateral.(8) Similarly, nine atoms can form a pentagon bonded to a hexagon, each ring sharing two atoms with the other ring.(9) There are 24 ways to do it - make 12 pentagons, so that the mirror images are on each side of the pentagon .(10) Thus, you can readily obtain a curved pentagon , heptagon, and so on.(11) They are marked by a pentagon with three overlapping triangles.(12) Perfect crystal structures can contain pyramids, cubes, or hexagons, but not pentagons .(13) Analysts also use a variety of symbols, such as parallelograms, pentagons , and others, to depict different types of events and activities.(14) Here are two pictures of the pentagonal coffee table that I mentioned in the book.(15) Of course, this statement has to be explained, since it is untrue if we understand distance in the usual way: the edges of these pentagons are visibly not straight and do not have the same length.(16) They are formed from 60 atoms of carbon bonded together in a combination of pentagons and hexagons to form a ball, just like a soccer ball.