(Originais Teachy 2024) - Question Easy of Arts

Islamic art is vast and diverse, reflecting the rich history and diverse cultures of the Islamic world. In architecture, for example, we see the prohibition of figurative representation leading to the development of complex geometric patterns and the valorization of the written word as a decorative element. In the context of Mathematics, geometry is an essential tool for creating these repetitive patterns, known as arabesques. Considering a rectangular Islamic decorative panel measuring 2 meters in height by 3 meters in width, where a pattern starting from the bottom left corner, following a 45° line with the bottom side of the panel, and repeating symmetrically to fill the entire area is desired, what is the minimum number of times the complete pattern should repeat both in height and width to cover the entire surface of the panel, without the need for cuts or overlaps?