Triangle to Hexagon Dissections, Math

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Mathematics offers a fascinating field of study in dissection, extending beyond geometry into algebra as well. Given an equilateral triangle, numerous intriguing ways can be found to dissect it, allowing the pieces to be reassembled into various shapes. Here, we examine two dissections that enable an equilateral triangle to transform into two regular hexagons. Each dissection consists of six components. Symmetry plays a crucial role in these transformations. Activities like this are ideal for K-8 mathematics education, providing students with hands-on experiences in design and mathematics. The pieces used measure 4mm in thickness; the triangular side lengths are 50mm and 80mm respectively. Always observe all safety precautions when working with small parts around young students. References: 1. Frederickson, G. N. (1997). Dissections: Plane & Fancy. Cambridge University Press. 2. http://demonstrations.wolfram.com/HingedDissectionOfAnEquilateralTriangleIntoTwoHexagons/