#TilingTuesday 2d cross-section of an 8d point arrangement in ðe hypercubic honeycomb, wiθ 1 point at ðe center of each non-vertex facet & a sphere 10^-5 times ðe radius at ðe center of each 8-cube 𓅱

And for #TilingTuesday this simple #tiling with ellipse arcs.
#MathArt #Mathematics

#TilingTuesday
Created in #OneLab for Android

There are 12 ways to replace two of the cells of an L tetromino with diagonal bars of opposite orientations. They form a unique 6×6 square tiling with a single cycle of overlapping perpendicular bars up to the symmetries of the square and swapping the bar orientations.

Dodecagon decomposition for #TilingTuesday

Enneagonal tiling of surface with flat growth. #TilingTuesday

There are 18 hexominoes that can be traversed with orthogonal moves without revisiting cells. This tiling has a closed tour, where all of the cells in each hexomino are visited in an uninterrupted sequence. (I have a blog post in the works about this stuff, but it's not quite done, and Tuesday very nearly is.)

Enneagonal infinite tiling #TilingTuesday (1/3)

UltraFractal6 IFSBarnsley for #tilingtuesday

Sierpinski Pyramid Tiling for #TilingTuesday

This kind of pyramid is a quarter of a cube.

Dear #TilingTuesday community,

A while ago I implemented a graphical web app folding certain flat shapes to polyhedra: https://hcschuetz.github.io/polyhedron-star/dist/

A few tilings are included, but I'd like to add more and ask you for contributions.

A compatible tiling should fit with a triangular or a quad grid. I'm particularly (but not only) interested in tilings that are *not* invariant to reflections.

Happy #tilingtuesday everybody!This is made with #openprocessing and may be enhanced in the future.

'དཔལ་བེའུ།*16
(I'm like 90% sure ðe orange bit forms a single loop)

Street decoration featuring eight-pointed stars, Buôn Ma Thuột, Vietnam
#Tiling #TilingTuesday #Pattern #Geometry #MathArt #MathsArt

I've always enjoyed toying around with "knight polygons" - polygons whose every edge is a chess knight's move.
So, it was only natural to use them for a floral pattern (a truncated square tiling), for a lily flower origami.

#TilingTuesday
Created in #OneLab for Android

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 ( https://tilings.math.uni-bielefeld.de/substitution/viper/ ) 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.
#TilingTuesday #tiling #Mathart #geometry #Mathematics

Growth steps 1 - 12 of genus 289 oriented surface made of 1152 hexagonal tiles. #TilingTuesday