# Pythagoras tree Affine

- Author:
- Thijs

## Affine transformations are used to create a Pythagoras tree.

Although a translation is a non-linear transformation in
a 2-D Euclidean space described by Cartesian coordinates
it becomes, in a 3-D projective space described by homogeneous
coordinates, a simple linear transformation (a shear).
The affine transformations (to create Left and Right branches)
are the M1 and M2 (3-D transformation) matrices.
Objects in the ApplyMatrix command are lifted to Z=1
(creating homogeneous coordinates) and results are lowered
from Z=1 to Z=0 (making them visible in the 2-D Graphics view).