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This MATLAB program builds the Pythagoras Tree using recursion. It includes variations with different inclination angles and calculates the total area for each level.
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Recursive MATLAB program for building the Pythagoras Tree Alexander Rozhok, IAN-103
Total area remains the same for each level 0.125 0.125 0.125 0.125 0.25 0.25 0.125 0.125 0.25 0.25 0.5 0.5 0.125 0.125 1
Pythagoras Tree variations with different angles of inclination
Recursive function header α i-th level point1 point2
Finding the triangle vertex pcenter Our goal is to find the coordinates of pcenter so we would be able to build new squares α dirVector i-th level point2 point1
Finding the coordinates of new squares p3 pcenter p2 i-th level point1 point2 Performing similar operation for the second square: