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Jupyter notebook ChristmasTree.ipynb

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Kernel: SageMath 9.7

Christmas tree with lights



var('t k')
from sage.plot.plot3d.shapes import *
num_wraps=4
num_lights=30
c=rainbow(num_lights)
f(t) = ( (1-t)*cos(2*pi*t*num_wraps), (1-t)*sin(2*pi*t*num_wraps),t)
lights=add([point(f(1/(num_lights)*(k+1)),color=c[k],size=50) for k in range(0,num_lights)])
S = Cone(1, 1, color='green')
S += parametric_plot3d(f(t),(t,0,1),thickness=3  )
S += lights
S.show()

S.show(frame=False)

S.save('Tree.png',frame=False)