MathDB
Equilateral triangle dissection

Source: ICMC 7 Round 2 Problem 5

March 12, 2024
geometry

Problem Statement

Is it possible to dissect an equilateral triangle into three congruent polygonal pieces (not necessarily convex), one of which contains the triangle’s centre in its interior?
Note: The interior of a polygon is the polygon without its boundary.
Proposed by Dylan Toh