Learn more about how angles in an 𝒏-sided polygon add to 180° × (𝒏 – 2) with this BBC Bitesize Maths article. For students between the ages of 11 and 14.

Mathematicians had already tackled the problem for some types of polygons, but Mossinghoff broke new ground for polygons with an even number of sides numbering 10 or more.

That means three-, four- and five-sided regular polygons can be transformed into six-, eight- and 10-sided regular polygons, as well as 12-, 16- and 20-sided ones, and so on.

But we won’t assume the side lengths and interior angles are all the same. Under what circumstances could such polygons tile the plane? For triangles and quadrilaterals, the answer is, remarkably, ...

By increasing the number of sides of the polygons, the perimeters become closer in length to the circumference of the circle. Approximating Pi Infinite Secrets homepage ...

Archimedes, through some further clever geometry, figured out how to estimate the perimeters for polygons with twice as many sides. He went from a 6-sided polygon, to a 12-sided polygon, to a 24 ...