Lmst

@DaniLaura
I really like your Cairo Turtle design!
I just tried 3D printing a version and it looks awesome!

#CairoTiling

3d printed Cairo Turtle assembled. White plastic on wooden boards

3d printed Cairo Turtle unassembled . White plastic on wooden boards

More cairo animals. Here the base cairo tiles had the sides curved.
#TilingTuesday #CairoTiling #mathart #tiling #art

A tiling of ducks. They come in two versions: one white with yellow beaks and feet, and the other with green heads, two shades of brown body and orange beaks and feet. Two ducks are detached from the tiling near bottom left and right corners.

Cairo turtles.
#TilingTuesday #CairoTiling #mathart #geometry #tiling

Geometric turtles based on the pentagonal cairo tiling. Nine cairo pentagons make up a turtle: four in the center form the shell (with darker colour), surrounded by five forming the head and the four legs, with same hue but lighter. There are four turtles in each of the colours red, blue, orange and green.

Artistic rendering of a #CairoTiling .
#TilingTuesday #geometry #tiling #MathArt

The irregular pentagons of a Cairo tiling may be more visible here, changing angles and eventually degenerating to 4-sided figures.

#cairoTiling #CairoTilings #mathart #mathsart #chickenWire

One of the pictures from the previous post showing white lines wrapped around a square grid that approximates a morphing Cairo tiling. The number of wraps changes from 9 at the center to 0 at the corners giving an appearance hinting at concentric diamonds. In this picture, the irregular pentagons of a Cairo tiling have been drawn over part of the picture with black outlines and colour fading from the center of the picture to the outside.

This has resulted in my art gallery submission for JMM 2025.

https://gallery.bridgesmathart.org/exhibitions/2025-jmm-art-exhibition/rashmi-sunder-raj

#JMM2025 #mathart #mathsart #cairoTilings #cairoTiling

A square picture of white on black representing wire wound around a grey grid. It consists of something like two interwoven pieces of chicken wire with the number of wraps varying so that it appears to consist of 5 concentric diamond shapes from a distance. It is denser and thus whiter at the center and darker near the corners. The interweaving of the horizontal and vertical pieces approximates a Cairo Tiling where the irregular pentagon shapes vary as the number of wraps vary. The picture has a thin black border.

Some #CairoTiling-like things that I made of regular edge-touching 12-gons (#dodecagons) a couple of years ago.

The first picture is called “ A Snub Can Lead to a Dual” (http://gallery.bridgesmathart.org/exhibitions/2022-joint-mathematics-meetings/rashmis)

#mathart #mathsart #tiling

Edit: oops I forgot the alt text on the second picture. It is just an approximation of a part of a Cairo tiling like the first picture, but the dodecagons in each irregular pentagon are more densely packed and are coloured in shades of grey. The effect is more curvy.

A roughly diamond shaped figure on an angled square shaded from dark in the center to light and dark at the edges.

The main figure resembles a lacy Cairo tiling, but the irregular pentagons of the tiling are made up of black dodecagons at the edges and some rings of black dodecagons inside, with white dodecagons between those groupings and also in the center..

A close-up of the second tiling showing the dodecagons more clearly and how they share edges.

sketch_2022_01_12 #Processing #Python #py5 #genuary2023 #genuary12 #CairoTiling abav.lugaralgum.com/sketch-a-day

Here is another one of the #CairoTiling clips from a couple of years ago. In this one, the rotating and size-changing squares which create the pattern should be somewhat visible.

#mathart #mathsart

You might find this picture somewhat interesting, I call it “Cairo Transitions”, and it is from about 4 years ago.

It shows a square grid being transformed into a #CairoTiling by emphasizing different edges in a 3D “bent #pentagon” tiling.

The underlying pattern was created based on the fact that #cubes fit nicely into #dodecahedrons (as mentioned by @johncarlosbaez in this recent post https://mathstodon.xyz/@johncarlosbaez/109290809194904775).

There is a chance that you might have seen it at JMM2020.

A greyscale tiling made up of trapezoids and triangles which together make up irregular pentagons. Thought of another way, the tiling could be made up of bent pentagons in three dimensions.

Various edges are highlighted to show a transition from a square grid in the upper left to a Cairo Tiling in the lower right.

“Cairo Transitions: Radial”

Does this look like a #CairoTiling to you? Or could it be a #tessellation of trapezoids and triangles?

#worldTessellationDay #tessellations #tiling #tilings #mathart #mathsart #pentagons

An image in cyan and maroon of a tiling using two parts of an irregular pentagon to represent the orthogonal view of a bent pentagon. Colouring snd shading helps shift the emphasis from a Cairo Tiling to a square grid as it moves from the center towards the edges.

More from the investigation of #CairoTiling animation on a grid. What do you see?

I was working on these because of the #SwirledSeries prompt from @csk a couple of years ago.

#mathart #mathsart #tiling #tilings

Another #CairoTiling-on-a-grid clip. This one looks at the irregular pentagons moving around.

#mathart #mathsart #tiling #tilings

A simple #CairoTiling clip

#mathart #mathsart

Testing what one of my short videos looks like on here…enjoy

#CairoTiling #SnubSquareTiling #tilings #mathart

#CairoTiling

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