Triangular/hexagonal tessellation

 

Hexagon dissections

 Hexagon dissections and the 6n+3 series

I found the inspiration for this ones looking at  https://people.missouristate.edu/LesReid/HS175.html , which can also be found at :

  https://en.m.wikipedia.org/wiki/File:Equilateral_pentagonal_dissection_of_regular_octadecagon.svg

which is a pentagonal dissection of a 18-gon.

I made this one with a hexagon at the centre and adding nonagons from the radius lines. I then use parallel lines to find the rest of the points needed to complete the drawing.

The following hexagonal dissections/tessellations are made using the nonagon (9-gon) , 15-gon and 21-gon ( 6n+3 series).