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dissection
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Figure 11: Construction for the dissection of parallelograms (see text). Figure 13: Constructions for the equivalence by dissection of (left) squares and (right) parallelograms (see text). Greek cross converted by dissection into a square Squared rectangle
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dissection

geometry
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Figure 11: Construction for the dissection of parallelograms (see text).
Figure 11: Construction for the dissection of parallelograms (see text).

Geometric dissection is a mathematical recreation that involves cutting geometric figures into pieces that can be rearranged to form other geometric figures. For example, a rectangle can be cut into pieces and reassembled into a square, and vice versa. The core idea is that two polygons are "equidecomposable" if one can be cut into a finite number of pieces that form the second polygon. A key theorem states that if two polygons have equal areas, they are equidecomposable. This field also explores the minimum number of pieces needed for such transformations and has extended to dissecting polyhedra. A related concept is "squaring the square," which involves subdividing a square into smaller, unequal squares.1

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2 Britannica Sources
  1. dissections
  2. number game - Geometric dissections

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