Wednesday is here, the middle of the week, just a couple of days until the weekend. In the past weeks I have done more artistic and relaxing Wednesdays and this one will be the same. Today I want to present you a Facebook page I have found recently which I totally like. They have great mathematics combined with art. The pieces look really good and I enjoy the way the author uses more white, black and grey colors plus a little of the sepia vibe. They look great. So I present you B2BK:
The 2 images above are on hyperbolic tessellation. I thought I will give you a little mathematics behind this. In hyperbolic geometry, a uniform (regular, quasi-regular or semi-regular) hyperbolic tiling is and edge-to-edge filling of the hyperbolic plane which has regular polygons as faces and it is vertex transitive. To better understand this, vertex transitive refers to the fact that each vertex is surrounded by the same kinds of faces in the same or reverse order and with the same angles between corresponding faces in plain English, all its vertices are the same).
The above images are inspired from Sierpinski Triangle, a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Originally constructed as a curve, this is one of the basic examples of self-similar sets.
In the end I have chosen his/hers representation of platonic solids. A platonic solid is a polyhedron all of whose faces are congruent regular polygons, and where the same number of faces meet at every vertex. These shapes have been known since antiquity.
Don’t forget that maths is everywhere! Enjoy! ~LThMath