Rhombille tiling Rhombille tiling In geometry, the rhombille tiling, also known as tumbling blocks, reversible cubes, or the dice lattice, is a tessellation of identical 60° rhombi on the Euclidean plane. Each rhombus has two 60° and two 120° angles; rhombi with this shape are sometimes also called diamonds. Sets of three rhombi meet at their 120° angles and sets of six rhombi meet at their 60° angles. The rhombille tiling can be seen as a subdivision of a hexagonal tiling with each hexagon divided into three rhombi meeting at the center point of the hexagon. This subdivision represents a regular compound
Magic hexagon Magic hexagon A magic hexagon of order "n" is an arrangement of numbers in a centered hexagonal pattern with "n" cells on each edge, in such a way that the numbers in each row, in all three directions, sum to the same magic constant "M". A normal magic hexagon contains the consecutive integers from 1 to 3"n" − 3"n" + 1. It turns out that normal magic hexagons exist only for "n" = 1 (which is trivial, as it is composed of only 1 hexagon) and "n" = 3. Moreover, the solution of order 3 is essentially unique. Meng also