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 |
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