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n-gons @ngons@mathstodon.xyz

Fun with chiral shapes - cube from snub cubes.

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#MathArt #Geometry #3D

Jean-Baptiste Etienne @JeanBaptisteEt4@mathstodon.xyz

Un pavage de Truchet modifiable en cliquant sur les triangles d'une zone bien précise.
https://www.geogebra.org/m/pngnrsgh

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#truchet #geogebra #geometry

Jean-Baptiste Etienne @JeanBaptisteEt4@mathstodon.xyz

Patrons de pyramides "coupées" par un plan.

https://www.geogebra.org/m/kjmjkmkj

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#geogebra #geogebra3D #pyramid

Jean-Baptiste Etienne @JeanBaptisteEt4@mathstodon.xyz

Patrons de pyramide à base régulières.
Un alternative au patrons générés par #geogebra.

https://www.geogebra.org/m/ucd4hts7

GIF

#pyramid #net #3D

Albert P. Carpenter @Albert@mathstodon.xyz

2 knots: trefoil and pentafoil composed of rhombicosidodecahedra that can represent points as well #math #topology #geometry #geometrictopology #knots #knottheory

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GIF

Suite du fil

Jean-Baptiste Etienne @JeanBaptisteEt4@mathstodon.xyz

#geogebra file :https://www.geogebra.org/m/tfqb4egm

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#hexagon #spiral #polygonales

Jean-Baptiste Etienne @JeanBaptisteEt4@mathstodon.xyz

GIF

#geometry #hexagon #geogebra

Dani Laura (they/she/he) @DaniLaura@mathstodon.xyz

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.
#MathArt #Art #Mathematics #geometry #tiling

Artwork in yellows, oranges and reds, like an explosion.

Artwork in multiple colours, radial 3-symmetry.

Deformation of a hexagonal tesselation into concentric circles.

Jenny Lam @jennylam@mastodon.art

Peering down the spiral #staircase in JC Contemporary last week. I was pleasantly surprised to find it was open because of Central Galleries Day (normally it’s closed on Mondays). Tai Kwun, #HongKong.

iPhone 12 Pro photo by Chicago Artist Jenny Lam looking down the spiral staircase in JC Contemporary inside Tai Kwun, Hong Kong

#ShotoniPhone #MobilePhotography #Photography

꧁ᐊ𰻞ᵕ̣̣̣̣̣̣́́♛ᵕ̣̣̣̣̣̣́́𰻞ᐅ꧂ @idontlikenames@mastodon.gamedev.place

#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

#geometry #cursed #abstract

n-gons @ngons@mathstodon.xyz

Dodecagon decomposition for #TilingTuesday

Abstract mathematical art. Tiling of equilateral shapes in bright colours. Resembling a ping flower around 7 yellow centers.

#Tiling #Geometry #MathArt

Dani Laura (they/she/he) @DaniLaura@mathstodon.xyz

Celebrate diversity!
#transdayofvisibility #MathArt #geometry

Geometric drawing with triangles in violet, shades of pink and cyan, and white.

n-gons @ngons@mathstodon.xyz

Rhombicosidodecahedron

Face to face tiling 240 equilateral polyhedra.

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#Hedron #Geometry #3D

Colossal @colossal@mastodon.art

On wood panels, Tia Keobounpheng weaves colorful threads to create precise geometries in vibrating color.

https://www.thisiscolossal.com/2025/03/tia-keobounphengs-geometric-weaving/

an abstract, geometric thread composition on a wood panel

a detail of an abstract, geometric thread composition on a wood panel

#weaving #textiles #geometry

n-gons @ngons@mathstodon.xyz

Sierpinski Pyramid Tiling for #TilingTuesday

This kind of pyramid is a quarter of a cube.

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#Voxel #Geometry #Tiling

foldworks @foldworks@mathstodon.xyz

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

A photograph of a pattern made of squares, triangles, parallelograms and concave pentagons. Eight-pointed stars can be perceived.

Suite du fil

Nicholas @Nicholas_2025@mathstodon.xyz

The general case for any arbitrary trapezoid with an inscribed circle

#maths #geometry

Nicholas @Nicholas_2025@mathstodon.xyz

What is the radius of the inscribed circle?

What is the radius of the inscribed circle?

#maths #geometry

aBe @hamoid@genart.social

Next iteration where child types depend only on iteration number. Two designs start in one location, the other two start in four locations.

#GenerativeArt #generative #CreativeCoding #OPENRNDR #Kotlin
#geometry #symmetry

Code generated design made out of colorful blocks (yellow triangles, green squares, bluegreen pentagons, blue hexagons, brown 180 degree arcs and dark red 90 degree arcs) touching each other on the sides, which have all the same length.

In this one the design starts with four squares, and children at the same iteration are of the same type. What makes it not perfectly symmetric is that the arcs can be connected in two ways, making it a left turn or a right turn. Also, there's often not enough space for all children, so some are missing. That creates variety.

Code generated design made out of colorful blocks (yellow triangles, green squares, bluegreen pentagons, blue hexagons, brown 180 degree arcs and dark red 90 degree arcs) touching each other on the sides, which have all the same length.

In this one the design starts with one central triangle, and children at the same iteration are of the same type. What makes it not perfectly symmetric is that the arcs can be connected in two ways, making it a left turn or a right turn. Also, there's often not enough space for all children, so some are missing. That creates variety.

Code generated design made out of colorful blocks (yellow triangles, green squares, bluegreen pentagons, blue hexagons, brown 180 degree arcs and dark red 90 degree arcs) touching each other on the sides, which have all the same length.

In this one the design starts with six hexagons, and children at the same iteration are of the same type. What makes it not perfectly symmetric is that the arcs can be connected in two ways, making it a left turn or a right turn. Also, there's often not enough space for all children, so some are missing. That creates variety.

Code generated design made out of colorful blocks (yellow triangles, green squares, bluegreen pentagons, blue hexagons, brown 180 degree arcs and dark red 90 degree arcs) touching each other on the sides, which have all the same length.

I think this design starts with a 90 degree arc, and children at the same iteration are of the same type. What makes it not perfectly symmetric is that the arcs can be connected in two ways, making it a left turn or a right turn. Also, there's often not enough space for all children, so some are missing. That creates variety.

skry @skry@mastodon.social

I'm only interested in the applied Romik's Ambidextrous Sofa solution.

https://mathstodon.xyz/@johncarlosbaez/114192998163823553 #math #geometry

MathstodonJohn Carlos Baez (@johncarlosbaez@mathstodon.xyz)Attaché : 1 image Here are the pictures from 2016, and one from 2017. • http://math.ucr.edu/home/baez/visual_insight/20160101%20-%20Free%20Modular%20Lattice%20on%203%20Generators.html 2016 - 01 - 01 — Free Modular Lattice on 3 Generators • http://math.ucr.edu/home/baez/visual_insight/20160115%20-%20Cairo%20Tiling.html 2016 - 01 - 15 — Cairo Tiling • http://math.ucr.edu/home/baez/visual_insight/20160201%20-%20Hoffman-Singleton%20Graph.html 2016 - 02 - 01 — Hoffman–Singleton Graph • http://math.ucr.edu/home/baez/visual_insight/20160215%20-%2027%20Lines%20on%20a%20Cubic%20Surface.html 2016 - 02 - 15 — 27 Lines on a Cubic Surface • http://math.ucr.edu/home/baez/visual_insight/20160301%20-%20Clebsch%20Surface.html 2016 - 03 - 01 — Clebsch Surface • http://math.ucr.edu/home/baez/visual_insight/20160315%20-%20Zamolodchikov%20Tetrahedron%20Equation.html 2016 - 03 - 15 — Zamolodchikov Tetrahedron Equation • http://math.ucr.edu/home/baez/visual_insight/20160401%20-%20Rectified%20Truncated%20Icosahedron.html 2016 - 04 - 01 — Rectified Truncated Icosahedron • http://math.ucr.edu/home/baez/visual_insight/20160415%20-%20Barth%20Sextic.html 2016 - 04 - 15 — Barth Sextic • http://math.ucr.edu/home/baez/visual_insight/20160501%20-%20Involutes%20of%20a%20Cubical%20Parabola.html 2016 - 05 - 01 — Involutes of a Cubical Parabola • http://math.ucr.edu/home/baez/visual_insight/20160515%20-%20Discriminant%20of%20the%20Icosahedral%20Group.html 2016 - 05 - 15 — Discriminant of the Icosahedral Group • http://math.ucr.edu/home/baez/visual_insight/20160601%20-%20Discriminant%20of%20Restricted%20Quintic.html 2016 - 06 - 01 — Discriminant of Restricted Quintic • http://math.ucr.edu/home/baez/visual_insight/20160615%20-%20Small%20Stellated%20Dodecahedron.html 2016 - 06 - 15 — Small Stellated Dodecahedron • http://math.ucr.edu/home/baez/visual_insight/20160701%20-%20Barth%20Decic.html 2016 - 07 - 01 — Barth Decic • http://math.ucr.edu/home/baez/visual_insight/20160715%20-%20Labs%20Septic.html 2016 - 07 - 15 — Labs Septic • http://math.ucr.edu/home/baez/visual_insight/20160801%20-%20Endrass%20Octic.html 2016 - 08 - 01 — Endrass Octic • http://math.ucr.edu/home/baez/visual_insight/20160815%20-%20Cayley%92s%20Nodal%20Cubic%20Surface.html 2016 - 08 - 15 — Cayley’s Nodal Cubic Surface • http://math.ucr.edu/home/baez/visual_insight/20160901%20-%20Kummer%20Quartic.html 2016 - 09 - 01 — Kummer Quartic • http://math.ucr.edu/home/baez/visual_insight/20160915%20-%20Togliatti%20Quintic.html 2016 - 09 - 15 — Togliatti Quintic • http://math.ucr.edu/home/baez/visual_insight/20161001%20-%20Diamond%20Cubic.html 2016 - 10 - 01 — Diamond Cubic • http://math.ucr.edu/home/baez/visual_insight/20161015%20-%20Laves%20Graph.html 2016 - 10 - 15 — Laves Graph • http://math.ucr.edu/home/baez/visual_insight/20161101%20-%20Escudero%20Nonic.html 2016 - 11 - 01 — Escudero Nonic • http://math.ucr.edu/home/baez/visual_insight/20161116%20-%20Bunimovich%20Stadium.html 2016 - 11 - 15 — Bunimovich Stadium • http://math.ucr.edu/home/baez/visual_insight/20161201%20-%20Truncated%20%7b6,3,3%7d%20Honeycomb.html 2016 - 12 - 01 — Truncated {6,3,3} Honeycomb • http://math.ucr.edu/home/baez/visual_insight/20161215%20-%20Romik%92s%20Ambidextrous%20Sofa.html 2016 - 12 - 15 — Romik’s Ambidextrous Sofa • http://math.ucr.edu/home/baez/visual_insight/20170101%20-%20Chmutov%20Octic.html 2017 - 01 - 01 — Chmutov Octic (5/n, n = 5)

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