This was an interesting problem to work on (back in 2017): A visualization of a path planner for 3D printing (FDM) a single layer/mesh structure of a multi-layer textile. Two setups of the same path strategy which optimized for longest continuous sub-paths and minimum rapids (distance without filament extrusion) between sub-paths. The planner supported six strategies in total, incl. optimizing for straight sub-paths and minimum amounts of "recent" crossings (to allow filament to cool down prior to crossing existing sub-paths)...

Submitted here for #genuary18: Unexpected path. Draw a route that changes direction based on one very simple rule.

#genuary2026 #PathPlanning #ThingUmbrella #Geometry #Mesh #3DP #Textile

This was an interesting problem to work on (back in 2017): A visualization of a path planner for 3D printing (FDM) a single layer/mesh structure of a multi-layer textile. Two setups of the same path strategy which optimized for longest continuous sub-paths and minimum rapids (distance without filament extrusion) between sub-paths. The planner supported six strategies in total, incl. optimizing for straight sub-paths and minimum amounts of "recent" crossings (to allow filament to cool down prior to crossing existing sub-paths)...

Submitted here for #genuary18: Unexpected path. Draw a route that changes direction based on one very simple rule.

#genuary2026 #PathPlanning #ThingUmbrella #Geometry #Mesh #3DP #Textile

Zellij floor tiles, Bahia Palace, Marrakesh, Morocco.

#TilingTuesday #geometry #tiling #MathArt #photography #design #IslamicPattern #IslamicArt

Zellij floor tiles, Bahia Palace, Marrakesh, Morocco.

#TilingTuesday #geometry #tiling #MathArt #photography #design #IslamicPattern #IslamicArt

Tour Perret

📍 Amiens, France

> La tour Perret est conçue par l'architecte Auguste Perret, en 1942 dans le cadre du projet de reconstruction de la place Alphonse-Fiquet et de la gare d'Amiens à la suite des destructions massives du début de la Seconde Guerre mondiale. Les travaux furent menés par l'entreprise Perret-Frères (dont les associés sont Auguste, Gustave et Claude) qui travaille en collaboration avec l'entreprise Bouvet d'Arras.

https://instantanes.loeuillet.org/tour-perret-amiens/

#photo #amiens #architecture #geometry

🧬 New paper by Dera et al. in Science Advances proposing a geometric complexity space to map the full morphological diversity of life.

Striking result: life occupies only a tiny, clustered region of all geometrically possible forms, with large heteromorphic regions systematically avoided. The authors argue that this reflects deep physical and developmental constraints shaping evolution.

🌍 https://www.science.org/doi/10.1126/sciadv.aea6945

#Evolution #Complexity #Geometry #Morphology

🧬 New paper by Dera et al. in Science Advances proposing a geometric complexity space to map the full morphological diversity of life.

Striking result: life occupies only a tiny, clustered region of all geometrically possible forms, with large heteromorphic regions systematically avoided. The authors argue that this reflects deep physical and developmental constraints shaping evolution.

🌍 https://www.science.org/doi/10.1126/sciadv.aea6945

#Evolution #Complexity #Geometry #Morphology

Scientists Uncover the Universal Geometry of Geology (2020)

https://www.quantamagazine.org/scientists-uncover-the-universal-geometry-of-geology-20201119/

#HackerNews #Scientists #Universal #Geometry #Geology #Research #QuantumPhysics

Pure #CSS #3D demo on @codepen: polyhedra morphing sequence https://codepen.io/thebabydino/pen/abmNveW

Absolutely no magic numbers, everything computed.

See Pen description for the how behind 😼

#transform #cssTransform #polyhedron #cssTransforms #polyhedra #octahedron #tetrahedron #cube #Maths #geometry #cssVariables #code #coding #frontend #web #dev #webDev #webDevelopment

Pure #CSS #3D demo on @codepen: polyhedra morphing sequence https://codepen.io/thebabydino/pen/abmNveW

Absolutely no magic numbers, everything computed.

See Pen description for the how behind 😼

#transform #cssTransform #polyhedron #cssTransforms #polyhedra #octahedron #tetrahedron #cube #Maths #geometry #cssVariables #code #coding #frontend #web #dev #webDev #webDevelopment

Advent of Tilings - Day 23.1

Almost at the end we see the light through diamond and hexagon shaped tunnels of an infinite surface, again monohedrally tiled.

#math #geometry #3d #combinatorics #tiling #AdventOfTilings #TilingTuesday

Advent of Tilings - Day 18.2

After applying “growth strategy 1” 20 times, adding 20 layers we end up with 22173 tiles.

The number of tiles in the added layers for the first ten steps:
1 + 6 + 20 + 53 + 98 + 161 + 246 + 352 + 474 + 615 + 762 + …

#math #geometry #3d #combinatorics #tiling #AdventOfTilings

Advent of Tilings - Day 23.1

Almost at the end we see the light through diamond and hexagon shaped tunnels of an infinite surface, again monohedrally tiled.

#math #geometry #3d #combinatorics #tiling #AdventOfTilings #TilingTuesday

Advent of Tilings - Day 22.2

It takes only one rule to get from single tile to cuboid

f₁f₂t₁t₂⁻¹t₁f₁t₁⁻¹

#math #geometry #3d #combinatorics #tiling #AdventOfTilings

Advent of Tilings - Day 22.1

It is not always easy to find a symmetric tree, but keep it in a pot and you may be surprised by what it grows up to be.

#math #geometry #3d #combinatorics #tiling #AdventOfTilings

Advent of Tilings - Day 21.2

The looping rules seem to reflect the strictness of the construction:

(f₂t₁t₂)²
(f₁t₁t₁)²

#math #geometry #3d #combinatorics #tiling #AdventOfTilings

Advent of Tilings - Day 21.1

This tiling grows following a double pyramid shape that would make Djoser proud. Embeddable and monohedral.

#math #geometry #3d #combinatorics #tiling #AdventOfTilings

Advent of Tilings - Day 20.2

The twist of the structure is accomplished by the rules:
(f₁t₁)² and f₁f₂t₂⁻¹t₁t₂t₂f₂t₂⁻¹ and (f₁f₂t₂⁻¹)³

#math #geometry #3d #combinatorics #tiling #AdventOfTilings