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==== Pentaflexagon and right decaflexagon ==== In its flat state, the pentaflexagon looks much like the [[Chrysler]] logo: a regular [[pentagon]] divided from the center into five [[isosceles triangle]]s, with angles 72β54β54. Because of its fivefold symmetry, the pentaflexagon cannot be folded in half. However, a complex series of flexes results in its transformation from displaying sides one and two on the front and back, to displaying its previously hidden sides three and four.<ref>{{cite web |url=http://loki3.com/flex/penta.html |title=Pentaflexagon |website=Loki3.com |first=Scott |last=Sherman |year=2007 |access-date=October 26, 2012}}</ref> By further dividing the 72-54-54 triangles of the pentaflexagon into 36-54-90 right triangles produces one variation of the 10-sided decaflexagon.<ref>{{cite web |url=http://loki3.com/flex/deca.html |title=Decaflexagon |website=Loki3.com |first=Scott |last=Sherman |year=2007 |access-date=October 26, 2012}}</ref>
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