#Truchet / bitmasking in 8 bits in progress. The grid is now complete and uses a set of 15 tiles. It's not easy to map the values correctly. Next improvement: move to a 3x3 or larger matrix system to define tiles relations, and draw them dynamically.
Decorative Victorian floor tiles in a tenement close in the Hillhead area of Glasgow.
#TruchetBounds / Apocalyptile / a random mix of two sets of #truchet tiles with a bitmasking detection.
#TruchetBounds / work in progress
After several fails to find a good way for randomly filling a grid with truchet tiles, I discovered a vintage videogame technique called #bitmasking
> Evaluate a tile value from its cardinals neighbors 1,2,4,8.
The basic tiles set consists in only 6 tiles with rotation, determined by the tile value.
Seems promising.
Floor tiles, Central post office, #Saigon Central Post Office, Ho Chi Minh City, #Vietnam https://en.m.wikipedia.org/wiki/Saigon_Central_Post_Office
#TilingTuesday #geometry #tiling #MathArt #photography #pattern #architecture
#TruchetBounds / work in progress / trying to define the boundary of a random truchet cluster. Due to obvious complications in holes, deadends and gaps, these configurations are filled with a full tile (x) on the fly. Boundaries detections work great so far.
雲雲雲雲雲
雨雨雨雨雨
雨雨雨雨雨
雨雨雨雨雨
傘傘傘傘傘
人大人大人
凸凹道凹凸
#tiling day! Removing the sink to replace the tap pulled a chunk of veneer off, so I decided to tile it.
Unfortunately, the reddish "mosaic" edging arrived, and its grey tone not red. On my laptop, the pictures looked red and complementary. In reality, not so much.
Arrrghh. Decided to use anyway..
This was laid out dry to figure it out. I then marked the positions w little tacks, that stick up from the glue as markers.
Tomorrow: grouting, and possibly re-fitting the sink.
Tessellations with quarter of octagons and two sizes of squares.
#tilingtuesday #geometry #tiling
Love these tenement tiles from the Yorkhill area of Glasgow.
Window, North Gate, Imperial Citadel of Thăng Long, Hanoi, Vietnam https://en.wikipedia.org/wiki/Imperial_Citadel_of_Th%C4%83ng_Long#North_Gate_(C%E1%BB%ADa_B%E1%BA%AFc,_or_B%E1%BA%AFc_M%C3%B4n)
#Tiling #TilingTuesday #Pattern #Geometry #MathArt #MathsArt #photography #architecture
I'm wondering: #physics makes a lot of use of #periodic functions, in particular it is very useful to solve space-dependent equations in representative volumes with #periodicBoundaryConditions.
However I've only seen it done with periodicity along orthogonal directions, aligned with a Cartesian frame.
Do you know of work, e.g. #PDE resolution, in nonrectangular #periodicDomains? E.g., in a #tiled hexagon? (but with a sufficiently generic setting, not exploiting regular hexagon symmetries) Even better if the periodicity parameters themselves are among the unknowns.
(Maybe I'm completely missing something obvious there, I'm in my first steps towards defining what I want - any random thought on the topic highly welcome!)
#tiling people?
Diagonal 
section of ðe 4d cartesian product of 2 "I want to be a sea urchin and eat cabbage"(yes, really) tilings
kinda like ðis
Unfortunately we are still too dimensionally, perceptually, & probably intellectually challenged to even try to look at ðe full θing 
Two tilings of tangent circles for #TilingTuesday .
#MathArt #tiling #Mathematics
