Photos


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Olympic Spirals of Cars

Interlocking circles, inspired by M.C. Escher's Snakes.
Doyle configuration of P=9 and Q=12. Click the animation.

Triple Spiral of Parrots and Toucans

Three spirals with each 2 arms and 3 perpendicular arms. Click the animation.

Triple Spiral of Four Fish

Three spirals with each 3 arms and 5 perpendicular arms. Click the animation.

Quadruple Spiral of Stairs and Circles

Four spirals are connected by colored stairs. The hyperbolic geometry circles are rolling down, of course.

Triple Spiral of Stairs and Circles

Three spirals are connected by colored stairs, with in the middle a twin spiral.

Double Spiral of Stairs and Circles

The asymmetric double spiral of stairs has 5 green/blue arms and 8 perpendicular red/orange arms. Click the animation.

Doyle Double Spiral

A Möbius transformation of Doyle circles with P=37 and Q=24. Click here for a gif animation.

Doyle Circles

Doyle circles with P=11 and Q=6.

Fibonacci Birds

The tessellated birds are based on Binet's formula for complex numbers as discussed by Matt Parker. Click the image with lines to see the birds changing direction.

Circles of Morphing Lizards

The lizards morph into hexagons approaching the center of the image. Click the animation for wobbly lizards.

Butterflies in Rose Garden

Truncated order-5 square tiling.

Cent Vignes de Beauséjour

Click the animation for clocks going round and round.

Sextet of Butterflies

Circle Limit with 6 colorful butterflies.

Dance of Parrots

Circle Limit with 6 colorful parrots.

Lizard Metamorphosis IV

The border lizards morph gradually to a hexagon at the center.

Lizard Metamorphosis III

The center lizard morphs gradually to a hexagon at the border.

Lizard Metamorphosis II

The lizard seems to be a hexagon with head, 4 limbs and a tail.

Lizard Metamorphosis I

M.C. Escher's Metamorphosis is the inspiration for this morphing tessellation.

Arcs of Parrots

The band model of the hyperbolic plane has been transformed to fractal circles.
See the 3D effect?

Carnival Seals Spirals

This carnival mask may look scary, but it is just a double spiral of seals that lie next to and over each other.

Path of Seals

Birds and Seals Spirals

Paths of Birds II

This image is a combination of Escher's woodcut Draaikolken (=Whirlpools) and the Path of Life III image. Click here for the red lines along the spirals, or for a zoomed out version.

Path of Birds I

The inspiration for this image comes from M.C. Escher's Path of Life III. Click here for the red lines.

Car Spiral Quartet

The singularity in the middle of these 4 interconnected, photo-based spirals are Siamese twin cars.

CarBeat

The heartbeat of spiraling cars. For animation click here.

Milky Way Cars

Parrot Spirals

5 spiral arms. For animation click here.

Fibonacci Parrots

6, 7 and 13 spiral arms. Also based on Golden Angle with 5, 8 and 13 spiral arms.

Toucan poles