Fractal Tree 5.16.2024

Fractal Tree 5.16.2024

10 various fractal tree .stl files are provided or you can create your own using BlockCad or OpenSCAD.

Note that the versions with N_max = 10 can take a while to print.
The version with N_max = 4 prints the fastest.

The included BlocksCad (.xml) and OpenScad (.scad) files are much more compact than my previous attempt since they use recursive programming. Tree leaning option is now included.
BlockCad is a free program to use on-line: https://www.blockscad3d.com/
OpenSCAD is a free download at: https://openscad.org/

Tabulation of recursive tree models in this post

variables common to all models:
variable T_extrude L_ratio L1 T1
value 1.2 0.8 30 8

variables that may change with each model
model Th_turn TH_lean N_max T_ratio
fractal_tree_recursive_3_240514_1 48 0 10 0.75
fractal_tree_recursive_3_240514_1a 48 7 10 0.75
fractal_tree_recursive_3_240514_1b 48 14 10 0.75
fractal_tree_recursive_3_240514_2 48 0 6 0.75
fractal_tree_recursive_3_240514_2a 48 7 6 0.75
fractal_tree_recursive_3_240514_3a 65 0 10 0.75
fractal_tree_recursive_3_240514_4 48 0 8 0.75
fractal_tree_recursive_3_240514_5 48 0 4 0.75
fractal_tree_recursive_3_240514_6 48 0 12 0.75
fractal_tree_recursive_3_240514_7 48 0 10 0.65

The following variables are used in the program to change the tree:

distances are in mm
all angle are in degrees

TH_turn is the angle between new branches
--- this controls how wide the tree is
TH_lean is the angle that next branches lean left or right
--- looks like the tree is swaying in the wind
L_ratio is the ratio of the length of the next branch compared to the current branch
T_ratio is the ratio of thickness of the next branch compared to the thickness of the current branch
L1 is the length of the trunk (branch 1)
T1 is the thickness of the trunk (branch 1)
N_max is the number of branches outward, the trunk is branch 1