All examples in this Problem are outlines of convex polygons.

This is a generalisation of scalene triangles to any polygon.

Any scalene triangle will fit on the left, because no two sides are equal.

However, any regular polygon will not fit on the left, because all of its sides are equal.

A random convex polygon will "almost surely" fit on the left.

Any scalene triangle will fit on the left, because no two sides are equal.

However, any regular polygon will not fit on the left, because all of its sides are equal.

A random polygon will "almost surely" fit on the left.

Any scalene triangle will fit on the left, because no two sides are equal.

However, any regular shape will not fit on the left, because all of its sides are equal.

A random polygon will "almost surely" fit on the left.

Polygons where all sides are different lengths vs. Polygons where not all sides are different lengths.

All examples in this Problem are outlines of polygons.

This is a generalisation of scalene triangles to any polygon.

The left side implies the right side of BP329 (regular vs. irregular polygons), but the converse is not true.

The left side of BP329 implies the right side, but the converse is not true.

Any scalene triangle will fit on the left, because no two sides are equal length.

However, any regular shape will not fit on the left, because all of its sides are equal.

A random polygon will "almost surely" fit on the left.

Jago Collins