### Exterior Angles

In a polygon, an exterior angle is formed by a side and an extension of an adjacent side. The sum of exterior angles in any convex polygon always adds up to 360 degrees, as shown in the 2 visual proofs below. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.  ### Kepler Triangle

A Kepler triangle is a right triangle formed by three squares with areas in geometric progression according to the golden ratio.
So, the sides of such a triangle are in the ratio 1 : √ φ : φ [where φ = ( 1 + √5 )/ 2 is the golden ratio.] ### A Magic Right Triangle

A triangle with sides π (3.14), e (2.71), and the Golden Ratio (1.61) is almost a right triangle! ### Archimedes’ turbine

Geometric composition involving equilateral triangles ### IXOHOXI Magic Square

The neat magic square featured on this stamp was created by Brazilian mathematician Inder Taneja. This square, called IXOHOXI magic square, not only shows common properties like other magic squares, as well as being pandiagonal, but also include extra properties such as symmetries, rotations and reflections. ### Shortest Path on a Cube

The regular hexagon hidden in a cube unfolds to a straight line on a net of the cube.

पूर्णस्य पूर्णमादाय पूर्णमेवावशिष्यते ॥
“Removing infinity from infinity, leaves infinity” ### Magic Inscribed Lotus

Indian mathematician Nārāyaṇa (1356) is the originator of the “Inscribed Lotus” (Padma Vrtta, a magic diagram constructed with the numbers of the 12×4 magic rectangle), in which every group of 12 numbers has the same sum 294. Continue reading “Magic Inscribed Lotus”  