## phyllotaxis

Studied earlier in Grasshopper here, the sunflower spiral or Phyllotaxis, or Fermat’s spiral could be drawn as an exercise of looping in Rhino Python. 1 2 3 4 5 6 7 8 9 10 # Drawing the Fermat’s Spiral with Circles # 30.07.2017 www.designcoding.net – Tugrul Yazar import rhinoscriptsyntax as rs import math s = 137.508 for n in range(0,500): t = math.sqrt(n) g = n * s z = rs.Polar([0,0,0],g,t) rs.AddCircle(z,0.3)# Drawing the Fermat’s Spiral with Circles # 30.07.2017 www.designcoding.net – Tugrul Yazar import rhinoscriptsyntax as rs import math […]

Sunflower (or Fermat’s, or Phyllotaxis) spiral can be constructed in Grasshopper3D according to the Vogel’s model of parametric relationships using polar coordinates. Definition file can be downloaded here [GHX: 0.8.0066] It’s a good example of utilizing polar coordinates. It’s also fun to play with parameters and constraints, also there are very interesting results if you also connect the polar angle value to the “z” of point component