Imaginary Rotoscopes

Rotoscoping the motion of roots across the complex plane.

Examples

Ordered set

periods = [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14]

Unity (boring)

periods = [0,1,1,1,1,1,1,1,1,1]

Unity (with phase shifts)

periods = [0,1,1,1,1,1,1,1,1,1]
phase = np.linspace(0,twopi*2,periods.size)

Alternating twos

periods = [0,2,3,4,2,5,2,6]

Signs

periods = [0,1,-1,2,-2,3,-3,4,-4,5,-5]

wigglewigglewiggle

periods = np.random.uniform(size=50)*(50/10.0) * 2 -1
phase = np.linspace(0,twopi*2,periods.size)

static trace over sqrt(primes)

n=6
q=[0,2,3,5,7,11,13]
f=cos(sqrt(q)*t)
t=linspace(0,10, 10000)

Presentation

http://thoppe.github.io/imaginary_rotoscopes/HnT_pres.html#/

First presented at DC Hack && Tell Round 31: Temporal aperture.