Anke
and 1 other
boosted
Autumnal tiling for #TilingTuesday
Autumnal tiling for #TilingTuesday
[1/n] Continuing my work (see previous posts) about the geometric possibilities of the radiant number ρ (aka plastic ratio). Because it can serve as the base of a numeral system (just it and the golden ratio have this property among non-integers), every rectangle whose side ratio is a power of ρ can be decomposed into rectangles whose side ratio is a power of ρ. Particularly, if we take three consecutive powers of ρ we can make substitution tilings involving its corresponding rectangles. These properties are depicted in the first image. In the next images we see two possibilities regarding rectangles of ratios 1, ρ and ρ² (one just uses horizontal rectangles), and one for rectangles of ratios ρ, ρ² and ρ³. Of course any of these partitions, by rearranging/rotating/mirroring tiles, give many possible different tilings.
#Mathematics #geometry #tiling #mathart #radiantnumber
Substitutions for rectangles of side ratios ρ (purple colour), ρ² (green colour), and ρ³ (orange colour), .
Substitutions for rectangles of side ratios ρ⁰ = 1 (square, orange colour), ρ (purple colour) and ρ² (green colour), where rectangles are always put in horizontal position.
Substitutions for rectangles of side ratios ρ⁰ = 1 (square, orange colour), ρ (purple colour) and ρ² (green colour).
Seven colourful columns depict how each rectangle of ratio a power of the radiant number can be decomposed into rectangles of ratios in three consecutive powers of ρ.
Angela Antunovic
boosted
Love the new mosaics filling in potholes and gaps in the paths in Queen's Park in Glasgow.
#glasgow #mosaics #queenspark #tiles #tiling #ceramics #streetart
Angela Antunovic
boosted
Turning worn out pavements into works of art: more of the mosaics set into damaged sections of the footpaths in Queen's Park in Glasgow.
#glasgow #queenspark #mosaics #ceramics #tiles #tiling #streetart
Turning worn out pavements into works of art: more of the mosaics set into damaged sections of the footpaths in Queen's Park in Glasgow.
#glasgow #queenspark #mosaics #ceramics #tiles #tiling #streetart
Love the new mosaics filling in potholes and gaps in the paths in Queen's Park in Glasgow.
#glasgow #mosaics #queenspark #tiles #tiling #ceramics #streetart
priryo@linernotes.club
boosted
Here's the first look at my upcoming Tenement Tiles of Glasgow 2026 Calendar, featuring decorative tiles from Glasgow's Victorian and Edwardian tenements. It's A4 size with one page (and one tile) per month. It costs £18, plus postage to wherever you are in the world.
There will only be 25 in the first print run, but you can order it now (for shipping on 1st of October 2025) from our website at https://www.thisismyglasgow.com/product-category/calendar/
#glasgow #architecture #tiles #artnouveau #tenements #ceramics #tiling
Here's the first look at my upcoming Tenement Tiles of Glasgow 2026 Calendar, featuring decorative tiles from Glasgow's Victorian and Edwardian tenements. It's A4 size with one page (and one tile) per month. It costs £18, plus postage to wherever you are in the world.
There will only be 25 in the first print run, but you can order it now (for shipping on 1st of October 2025) from our website at https://www.thisismyglasgow.com/product-category/calendar/
#glasgow #architecture #tiles #artnouveau #tenements #ceramics #tiling
Jonathan Schofield
boosted
Monohedral triangle tiling of the gyroid, which is the dual tessellation of a partial Cayley surface complex of the group:
<br/>G = ⟨ f₁,t₁ | f₁², t₁⁶, (f₁t₁)⁴, (f₁t₁f₁t₁⁻¹f₁t₁²)² ⟩<br/>
Ball of radius 21. (1/2)
Module that can be used to create the structure. (2/2)
Monohedral triangle tiling of the gyroid, which is the dual tessellation of a partial Cayley surface complex of the group:
<br/>G = ⟨ f₁,t₁ | f₁², t₁⁶, (f₁t₁)⁴, (f₁t₁f₁t₁⁻¹f₁t₁²)² ⟩<br/>
Ball of radius 21. (1/2)
Andrew Wooldridge ✨️
boosted
Angela Antunovic
boosted
Absolutely love this beautiful patterned Victorian tile from Partick Lesser Hall in the West End of Glasgow. The building was designed by William Leiper and was built in 1872.
#glasgow #architecture#partick #tile #tiling #ceramics #victoriantiles #design
Absolutely love this beautiful patterned Victorian tile from Partick Lesser Hall in the West End of Glasgow. The building was designed by William Leiper and was built in 1872.
#glasgow #architecture#partick #tile #tiling #ceramics #victoriantiles #design
halcy :icosahedron:
boosted
#tiling destruction :)
#tiling destruction :)
