Ruby.social

foldworksWindow, North Gate, Imperial Citadel of Thăng Long, Hanoi, Vietnam <a href="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)" rel="nofollow noopener noreferrer" translate="no" target="_blank">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)</a> <a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/Pattern" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Pattern</a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/MathsArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathsArt</a> <a href="https://mathstodon.xyz/tags/photography" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#photography</a> <a href="https://mathstodon.xyz/tags/architecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#architecture</a>

Jocelyn Etienne – researchI'm wondering: <a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#physics</a> makes a lot of use of <a href="https://mathstodon.xyz/tags/periodic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#periodic</a> functions, in particular it is very useful to solve space-dependent equations in representative volumes with <a href="https://mathstodon.xyz/tags/periodicBoundaryConditions" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#periodicBoundaryConditions</a>.However I've only seen it done with periodicity along orthogonal directions, aligned with a Cartesian frame.Do you know of work, e.g. <a href="https://mathstodon.xyz/tags/PDE" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#PDE</a> resolution, in nonrectangular <a href="https://mathstodon.xyz/tags/periodicDomains" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#periodicDomains</a>? E.g., in a <a href="https://mathstodon.xyz/tags/tiled" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiled</a> 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!)<a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> people?

꧁ᐊ𰻞ᵕ̣̣̣̣̣̣́́♛ᵕ̣̣̣̣̣̣́́𰻞ᐅ꧂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 😔<a href="https://mastodon.gamedev.place/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mastodon.gamedev.place/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mastodon.gamedev.place/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://mastodon.gamedev.place/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mastodon.gamedev.place/tags/mastoart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mastoart</a> <a href="https://mastodon.gamedev.place/tags/4d" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#4d</a> <a href="https://mastodon.gamedev.place/tags/abstract" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#abstract</a>

n-gonsIt's <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> !Tiling of 12 colourful ducks.<a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Art</a>

Dani Laura (they/she/he)Two tilings of tangent circles for <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> . <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathematics</a>

R.L. Dane :Debian: :OpenBSD: 🍵Something I miss from <a href="https://polymaths.social/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> wms/compositors like <a href="https://polymaths.social/tags/i3wm" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#i3wm</a> and <a href="https://polymaths.social/tags/sway" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#sway</a> when I'm on <a href="https://polymaths.social/tags/kde" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#KDE</a>:I use <a href="https://polymaths.social/tags/yakuake" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Yakuake</a> on KDE <a href="https://polymaths.social/tags/plasma" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Plasma</a> to have a terminal that's easily accessible, but stays out of my way when I don't want to see it.On tiling setups, I use disappearing windows (I forget the actual name of the feature) that will pop up when I hit super+-, appear one at a time, and then disappear.Yakuake lets you do tiling as well within its window, but I kinda miss the ability to cycle through a bunch of windows very easily. I mean, I've got the keyboard shortcuts set up very nicely, so it's just F12 to make the window appear and disappear, and then control+tab to cycle through tabs or control+pgup/pgdown to jump between panes, but somehow the tiling setup is just a bit easier to do. Less thinking, just super+-. ;)I don't know if I'll continue to use tiling setup too much longer, though. It's too aggravating to figure out how to get the occasional gnome program to work properly. There's always some kind of fancy library initialization that I fail to get right. It's easier to just use a DE and whittle it down to nearly tiling levels of productivity.:BlobCatDerpy:

Dani Laura (they/she/he)These two art pieces are based on the deformation of a hexagonal tiling into a topologically equivalent "tiling" composed of parts of concentric circles, all parts having the same area (third image). Selecting one hexagon as the center, we transform it into a circle of radius 1. Next concentric circle will hold the 6 adjacent tiles as sectors of rings. And so on, the circle of level n will have radius sqrt(1+3·n·(n+1)) (difference of radius when n tends to infinity approaches sqrt(3)). This map can be coloured with three colours, like the hexagonal tiling. For the artwork, suppose each sector of ring is in fact a sector of a circle hidden by inner pieces. Then choose a colour and delete all pieces not of this colour. Two distinct set of sectors can be produced, one choosing the central colour, one choosing another colour. Finally recolour the pieces according to its size. <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Art</a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathematics</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a>

Dani Laura (they/she/he)And for <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> this simple <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> with ellipse arcs. <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathematics</a>

n-gonsDodecagon decomposition for <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Art</a>

n-gonsRhombicosidodecahedronFace to face tiling 240 equilateral polyhedra.<a href="https://mathstodon.xyz/tags/Hedron" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Hedron</a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a> <a href="https://mathstodon.xyz/tags/3D" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#3D</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a>

This Is My GlasgowLove this beautiful Art Nouveau style tenement tile pattern, featuring Scottish Bluebells. It's from a tenement close in the Pollokshields area of Glasgow.<a href="https://mastodon.scot/tags/glasgow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#glasgow</a> <a href="https://mastodon.scot/tags/architecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#architecture</a> <a href="https://mastodon.scot/tags/scottishbluebells" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#scottishbluebells</a> <a href="https://mastodon.scot/tags/tiles" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiles</a> <a href="https://mastodon.scot/tags/tenementtiles" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tenementtiles</a> <a href="https://mastodon.scot/tags/ceramics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ceramics</a> <a href="https://mastodon.scot/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mastodon.scot/tags/artnouveau" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#artnouveau</a> <a href="https://mastodon.scot/tags/bluebells" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#bluebells</a>

n-gonsSierpinski Pyramid Tiling for <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> This kind of pyramid is a quarter of a cube.<a href="https://mathstodon.xyz/tags/Voxel" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Voxel</a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a> <a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> <a href="https://mathstodon.xyz/tags/Fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Fractal</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a>

꧁ᐊ𰻞ᵕ̣̣̣̣̣̣́́♛ᵕ̣̣̣̣̣̣́́𰻞ᐅ꧂⭕'དཔལ་བེའུ།*16 🥨 (I'm like 90% sure ðe orange bit forms a single loop)<a href="https://mastodon.gamedev.place/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mastodon.gamedev.place/tags/knots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knots</a> <a href="https://mastodon.gamedev.place/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mastodon.gamedev.place/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://mastodon.gamedev.place/tags/pixelart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#pixelart</a> <a href="https://mastodon.gamedev.place/tags/abstract" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#abstract</a>

foldworksStreet decoration featuring eight-pointed stars, Buôn Ma Thuột, Vietnam <a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/Pattern" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Pattern</a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/MathsArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathsArt</a>

LinuxiacHyprland 0.48 tiling Wayland compositor is out with major improvements, including ANR dialogs, full-color management, sync fixes, and more. <a href="https://linuxiac.com/hyprland-celebrates-its-third-birthday-with-v0-48/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://linuxiac.com/hyprland-celebrates-its-third-birthday-with-v0-48/</a><a href="https://mastodon.social/tags/hyprland" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#hyprland</a> <a href="https://mastodon.social/tags/wayland" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#wayland</a> <a href="https://mastodon.social/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a>

OMG! Ubuntu!Miracle-WM 0.5 Released with Assorted ImprovementsA new version of Miracle-WM, the Mir-based tiling window manager developed by Canonical engineer Matthew Kosarek is out, the first update to be released this year. Miracle-WM 0.5 adds a number of new features, compatibility enhancements, and (at long last) introduces a couple of animations (remember: Miracle-WM wants to be a ‘flashy’ tiling WM like WHICH and animations, ever optional, ofc, help live up to that). Miracle-WM 0.5 changes at-a-glance: On the bug-fixes side: Plus more – see the Miracle-WM GitHub for a comprehensive list of all the bugs, changes, and refactoring that has gone into shaping the latest release. :sys_more_orange: <a href="https://hello.2heng.xin/tags/News" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#News</a> <a href="https://hello.2heng.xin/tags/Mir" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mir</a> <a href="https://hello.2heng.xin/tags/Miracle" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Miracle</a>-Wm <a href="https://hello.2heng.xin/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> :sys_omgubuntu: <a href="https://www.omgubuntu.co.uk/2025/03/miracle-wm-0-5-released-with-assorted-improvements" rel="nofollow noopener noreferrer" target="_blank">https://www.omgubuntu.co.uk/2025/03/miracle-wm-0-5-released-with-assorted-improvements</a>

LinuxiacMiracle-WM 0.5 Wayland compositor is here with drag-and-drop tiling, floating mini-grids, window animations, and bug fixes. <a href="https://linuxiac.com/miracle-wm-0-5-released-with-drag-and-drop-tiling/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://linuxiac.com/miracle-wm-0-5-released-with-drag-and-drop-tiling/</a><a href="https://mastodon.social/tags/wayland" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#wayland</a> <a href="https://mastodon.social/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mastodon.social/tags/opensource" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#opensource</a>

Dani Laura (they/she/he)I have found a novel family of rep-tiles which produce aperiodic tilings. The prototile is a triangle with smallest side 1 and biggest side 2, the other side is 1 < x <= 2. The family includes one pointed isosceles triangle, the right triangle of angles 30-60-90 (half an equilateral triangle), and other scalene, obtuse or acute, triangles. The first image shows relevant members of the family, the second the substitution rule. The isosceles triangle of the family has another already known aperiodic tiling ( <a href="https://tilings.math.uni-bielefeld.de/substitution/viper/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://tilings.math.uni-bielefeld.de/substitution/viper/</a> ) which looks the same but is different because there the tile has no reflections, whereas here some tiles are reflected (in the case of the isosceles triangle the reflection makes a difference when applying the substitution). Figure 3 shows the difference between that tessellation and the one proposed here, mine has just four slopes. Last figure shows a zoom into one big instance of the tiling for the right triangle. <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/Mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathart</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathematics</a>

꧁ᐊ𰻞ᵕ̣̣̣̣̣̣́́♛ᵕ̣̣̣̣̣̣́́𰻞ᐅ꧂traitoR<a href="https://mastodon.gamedev.place/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mastodon.gamedev.place/tags/vibes" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#vibes</a> <a href="https://mastodon.gamedev.place/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mastodon.gamedev.place/tags/abstract" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#abstract</a> <a href="https://mastodon.gamedev.place/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://mastodon.gamedev.place/tags/mastoart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mastoart</a>

foldworksWindow, County Hall, Preston, Lancashire, England <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/photography" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#photography</a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#pattern</a> <a href="https://mathstodon.xyz/tags/architecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#architecture</a> <a href="https://mathstodon.xyz/tags/window" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#window</a>

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