MATHS MOSAICS
Teracotta or marble tiles which we used in our houses could be considered as a Maths concept. The tiles formes may be very simple but their combinations are sometimes very original.
The floor tiles are mainly geometric figures: equilateral tringles, squares, hexagon, octagon, dodecagon. In the past Pythagoras claimed that the plain around the point can be completely filled only with three kinds of regular of polygons: equitateral triangles, squares or regular hexagons.
There are typical mosaics : 1.triangles 2.squares 3.hexagones
To create a mosaic from regular figures around one point, the sum of the angles of these polygons must be equal with the sum of four right angles
If two squares, equilateral triangle and regular hexagon connect in one vertex so this floor indication is [3, 4, 6, 4]
Floor in Książ Castle
Mosaics from Venice
Honeycomb is an example of mosaic made in nature.
Made for „Maths in buildings” A. Przybył March 2017 GP Ziębice