Spiroface

(4 rolling circles)

(4 rolling circles)

( Mathematical software used: GeoGebra )

Making Love ♥

Linear Combination of Spirographs
(Hypotrochoid and Epitrochoid)

( Mathematical software used: GeoGebra )

Fractal Spirograph (Fractal Roulette) (碎形旋輪線)

( Click on the image for a larger view. )

( Click on the image for a larger view. )

( Click on the image for a larger view. )

( Click on the image for a larger view. )

( Click on the image for a larger view. )

( Click on the image for a larger view. )

( Click on the image for a larger view. )

( Click on the image for a larger view. )

(A few images of successive zooming in on the small region are shown below.)

( Click on the image for a larger view. )

( Mathematical softwares used: GeoGebra, gnuplot )


Related posts:

• Dynamic Spirograph: Circle Rolling around Rolling Circle (1)
• Dynamic Spirograph: Circle Rolling around Rolling Circle (4)

Dynamic Spirograph: Circle Rolling around Rolling Circle (4)

Circle 1 rolls around outside of the fixed base circle.

Circle 2 rolls around outside of circle 1.

( Mathematical software used: GeoGebra )


Related posts:

• Dynamic Spirograph: Circle Rolling around Rolling Circle (1)
• Dynamic Spirograph: Circle Rolling around Rolling Circle (2)
• Dynamic Spirograph: Circle Rolling around Rolling Circle (3)