It graphically depicts the ratios of the three variables as positions in an equilateral triangle.

In a canonically attractive face, the mouth and eyes fall within the corners of the area of an equilateral triangle.

In addition, the 2-franc and higher denomination stamps are in the shape of a large equilateral triangle.

In fact, the optimal solution for even simple fixed inputs such as the unit square or equilateral triangle are unknown.

It has 4 regular hexagonal faces, 4 equilateral triangle faces, 12 vertices and 18 edges (of two types).