"Marching Waves"

Sinusoidal toroid.

(66a)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

"Driftwood Wreath"

Toroid with sinusoidally modulated radius.

(70b)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

"Sinuous Signal"

Toroid with sinusoidally modulated radius.

(79)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

"Balanced Bulb"

Lobed torus.

(80)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

Kinetic sculpture! Cool!

"Tidal Twist"

Coiled toroid with sinusoidally modulated radius.

(78b)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

"Tidal Twist"

Coiled toroid with sinusoidally modulated radius.

(78a)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

"Star of Symmetry"

Lobed double toroid.

(72c)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

"Trifold Flow"

(39)

Toroid with three sets of four strands.

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

"Clashing Curves"

Sinusoidal toroid with three sets of nine strands.

(49)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

"Fivefold Fields"

Coiled toroid with five sets of five strands.

(15)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

Thanks! I keep googling terms but I'm bound to get the words wrong sometimes. I like the quote "Make it exist first, then make it great."

"Parametric Turbulence"

Coiled torus with three sets of ten strands.

(76)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

Awesome!

"Birotary Annuli"

Two ring tori with opposite directions of rotation.

(46)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

"Dizzy Donut"

Ring torus with two strands.

(32)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

"Four Winds"

Coiled torus with four sets of two strands.

(31)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

"Harmonic Crown"

Lobed torus with ten strands and sinusoidally modulated radius. Created in Excel.

(74a)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

A toroidal shape with lobes. Parametric equations graphing. Colored and graphed in Excel. #MathArt

"Harmonic Crown"

Lobed torus with ten strands and sinusoidally modulated radius.

(75b)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

"Harmonic Crown"

Lobed torus with ten strands and sinusoidally modulated radius.

(75a)

#CreativeCoding #DigitalArt #MathArt #MathSky #SciArt

(animation 20)
#MathArt

(animation 48)
#MathArt

(animation 14)
#MathArt

(animation 27)
#MathArt

Thanks!

(animation 38)
#MathArt

n=0,1,2,3,...
f(n,r,s,t)=⌊n/(r*s)⌋ mod t

Creates a sequence of integers from 0 to t-1 that repeats each digit r*s number of times.

In Excel: MOD(INT(n/(r*s)),t)

(animation 19)
#MathArt

(animation 18)
#MathArt