I couldn’t resist making this in Geogebra: morphing between a regular icosahedron and a regular dodecahedron.

h/t @unnick https://mathstodon.xyz/@unnick@booping.synth.download/114350750053349050

Floor tiles, #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

#Crows very good at #geometry, they can not only distinguish the from stars, but choose between distinctive quadrilaterals

https://www.earth.com/news/crows-can-recognize-geometric-patterns-in-shapes/

What a fascinating book about hybercubes!

https://www.youtube.com/watch?v=FWZPfFemRcA

**Crows Can Do Geometry!**

A new study reveals that carrion crows can recognize geometric patterns like right angles and symmetry—skills once thought unique to humans. These clever birds are reshaping our understanding of animal intelligence.

@goodnews

#GoodNews #AnimalIntelligence #Crows #Geometry #CognitiveScience
https://www.npr.org/2025/04/12/nx-s1-5359438/a-crows-math-skills-include-geometry

I have found an interesting geometric fact: suppose you have a hexagon of side 1 and duplicate and enlarge it by the golden ratio 𝜑; the distance from one vertex of the unit hexagon to a vertex of the bigger hexagon 60° apart is √2. Furthermore, if another hexagon reduced by 𝜑 is drawn inside, the distance from one vertex of the unit hexagon to a vertex of the smaller hexagon 120° apart is also √2 [first figure].
This boils down to the fact that a triangle of sides 1, √2, and 𝜑 has an angle of 60° opposite to side √2. That triangle is very remarkable as it contains the three more relevant algebraic geometric constants: √2, √3/2 (altitude to the bigger side) and 𝜑 [second figure]. Of course this can be also used to construct 𝜑 from a square and a triangle (I bet this is known). In the follow-up some artistic designs exploiting those facts.
#geometry #Mathematics #triangle #GoldenRatio

New blog post! "Go For Geometry! Episode 6: Quadrilaterals"
Using technology (all platforms) to make sense of this family of shapes.
#MTBoS #iTeachMath #T3Learns #Geometry
#ClassroomMath #MathEd #MathsEdChat

https://karendcampe.wordpress.com/2025/04/17/go-for-geometry-6/

Here's a stupid #geometry / #astronomy question. Planetary orbits are ellipses (under the obvious simplifying assumptions) which are conic sections. So what's the cone? There are infinitely many cones that fit of course. But is there one that best explains? To put it another way, is there a neat geometric argument that an orbit should be an ellipse, that doesn't require too much physics? #mathematics

#TilingTuesday

Tiling from #squares and #triangles

Patterned carpet, Loughborough University, England
#Tiling #TilingTuesday #Pattern #Geometry #MathArt #MathsArt