Proof Without Words: The Area of a Regular Dodecagon Roger B. Nelsen ([email protected]), Lewis & Clark College, Portland, OR Theorem. A regular dodecagon inscribed in a circle of radius 1 has area 3. Proof.

For other ways to dissect the dodecagon and assemble the pieces into three equal squares, see [1, 2]. Summary. We determine the area of a regular dodecagon inscribed in a unit circle by dissecting it into twelve triangles that are reassembled into three squares.

References 1. G. L. Alexanderson, K. Seydal, K¨urschak’s tile, Math. Gaz. 62 (1978) 192–196, http://dx.doi. org/10.2307/3616688. 2. G. N. Frederickson, Hinged Dissections: Swinging & Twisting. Cambridge Univ. Press, New York, 2002. http://dx.doi.org/10.4169/college.math.j.46.1.10 MSC: 51M25

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The Area of a Regular Dodecagon Roger B. Nelsen

Proof Without Words: The Area of a Regular Dodecagon. Roger B. Nelsen ([email protected]), Lewis & Clark College, Portland, OR. Theorem. A regular dodecagon inscribed in a circle of radius 1 has area 3. Proof. For other ways to dissect the dodecagon and assemble the pieces into three equal squares, see [1, 2].
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