Painted crackle effect with fainter real crackle on a vintage outdoor tile, Holland Park, London, England

Yes, crackle is the correct word https://en.wikipedia.org/wiki/Craquelure#Craquelure_in_ceramics

ψ^Ⴟ

Torrijos Ceiling, V&A East, London, England

From the exhibit caption: “an ornate carved ceiling from a palace in Torrijos, revealing the Islamic influence on craft practices in medieval Spain.

The ceiling was built about 1490 using strapwork carpentry, a construction technique that creates patterns from interlacing strips of wood.

An Arabic phrase is repeated in the white plaster ... 'you drink from happiness', suggesting that the original room below the ceiling was used for entertainment. By the 1890s, the palace was in poor condition and the owners sold the intact parts. The V&A bought this ceiling in 1905.

MAKER:
Unrecorded artisans

LOCATION AND DATE:
Torrijos, Spain. About 1490

MATERIALS AND TECHNIQUES:
Pine wood, carved, painted and gilded, with modern plaster of Paris panels”

More info at https://www.vam.ac.uk/blog/projects/introduction-to-the-vas-torrijos-ceiling

I really should stop following ChicagoVintageTileFloors on bsky or I'll have no time for anything

Some of my patterns are based on tilings with can be thought of as having overlapping parts, this overlap often consists of something that looks like a border.

An example is this sequence in which the “borders” are unclear until they resolve into borders of a snub square tiling, or its Cairo-type tiling dual.

https://mathstodon.xyz/@HypercubicPeg/109043217999286054

————

Often when I do something like this, I can find an infinite class of “tiles” where the pattern along the border can be incremented in some predictable way.

A little while back, I had a go at trying to interpret the Hat tile in a similar way using edge-touching dodecagons. Here is one of the versions that I liked.

[1/n] I have been researching the geometric possibilities of the radiant number ρ (aka plastic ratio), the real solution of the equation x³ = x + 1. It has many interesting numerical properties, for example it can serve as the base of a numeral system. Here I present a family of substitution tilings based on squares and radiant rectangles. For the square there are two main possibilities, which with all rotations and mirroring of the partitions and subtiles produce a great number of possibilities. Some possible derived tilings are shown.
#TilingTuesday #geometry #tiling #mathart #radiantnumber

Patterned pedestrian crossing, Kensington High Street, London

edit: Designed by Tokolo Asao for Japanese House London as part of Creative Kensington High Street initiative (see source in thread)

Happy #TilingTuesday everyone!

A round window and its reflection, Guayaquil Metropolitan Cathedral (Cathedral of Saint Peter), Ecuador

The Faience Corridor of Glasgow City Chambers. Ten feet wide and one hundred feet long, every inch of its walls and domed ceilings are adorned with glazed decorative ceramic tiles.

OK, da denkt man sich: Alle populären #tiling Windowmanager für #Wayland haben das eine oder das andere Problem. Viele sind unmaintained, Sway hat dieses manuelle tiling von i3, Hyprland hat einen Hauptentwickler... Ich will doch nur ein #xmonad für Wayland...

Also selbst schreiben? Gibt es Pythonbindings für wlroots? Au ja, pywlroots. Wo werden die genutzt? qtile! Ein aktiv entwickelter #Python basierter an xmonad angelehnter tiling Windowmanager für Wayland

Ich bin dann mal #qtile testen

we could call ðis Cirno's perfect 8.7.4 tiling

(ðe 7gons are made from merged 4.3.4.3.3 clusters, & I'm like 50% sure half ðe 8gons are slightly irregular)

Tiled steps, Morocco

#Tiling Tuesday. Japanese lotus dream

#Tiling Tuesday pentagonal quadrupled

#Tiling Tuesday - Bill Tutte - squared squarer, code breaker, mathematician

#Tiling Tuesday - Euclidean Rhythms

This tessellation is based on a partition of a Kepler triangle into four similar triangles (two direct and two mirrored). It is interesting that when triangles of same chirality are equally coloured it seems to show 0s and 2s. It is also interesting when just the hypotenuses are drawn.
#TilingTuesday #geometry #tiling #mathart #goldenratio