Vecten_tiles

Vecten Tiles

Glueing Vecten tiles together makes a grid.
The holes are allways symmetric hexagons both inscribable and circumscribable to ellipses.
The two ellipses are similar, and their similarity ratio is sqrt(3)/2.
There is a third ellipse passing through the centers of the squares around a hole.
There is also a circle through the six Vecten centers of the triangles around a hole. This circle is equal (in radius) to the circumcircle of the anticomplementary triangle of the centers (of the squares) of the basic Vecten tile.
Everything below is controlled by the vertices of the basic triangle t=(ABC).
The vertices of this triangle can be freely modified.

The file Vecten.html introduces the subject and discusses the first properties of the Vecten configuration of an arbitrary triangle.

http://users.math.uoc.gr/~pamfilos/