M. C. Escher was fascinated by every kind of tessellation – regular and irregular – and took special delight in what he called “metamorphoses,” in which the shapes changed and interacted with each other, and sometimes even broke free of the plane itself. By his method of coloring this tessellation, M.C. Escher has made it easy for us to understand how the tessellation was created. You can divide the design into two portions: equilateral triangles defined by groups of yellow creatures and equilateral triangles defined by groups of red creatures. These two types of equilateral triangles tessellate in a predictable manner.
"By keenly confronting the enigmas that surround us, and by
considering and analyzing the observations that I have made, I ended up
in the domain of mathematics, Although I am absolutely without training
in the exact sciences, I often seem to have more in common with
mathematicians than with my fellow artists."The laws of mathematics are
not merely human inventions or creations. They simply 'are'; they exist
quite independently of the human intellect. The most that any(one) ...
can do is to find that they are there and to take cognizance of them."
"Only those who attempt the absurd will achieve the impossible. I think it's in my basement... let me go upstairs and check."