MathDB
(Not) covering an unit square with (rectangle or) triangles

Source: Romanian TST 1979 day 2 5

April 15, 2023
combinatorial geometrycombinatorics

Problem Statement

a) Are there rectangles 1×121\times \dfrac12 rectangles lying strictly inside the interior of a unit square? b) Find the minimum number of equilateral triangles of unit side which can cover completely a unit square.
Laurențiu Panaitopol