@ark_brut Another approach is to roll paper into a tube and cut notches. I might try this later https://www.youtube.com/watch?v=65BM4K1k77U
@ark_brut Another approach is to roll paper into a tube and cut notches. I might try this later https://www.youtube.com/watch?v=65BM4K1k77U
@ark_brut A bit beyond my current skills, so I looked for something much simpler: https://www.youtube.com/shorts/g0-eD9c5uog. I used four lolly sticks and two rubber bands lying around the kitchen.
The only tricky part was cutting the notches with a craft knife and a self-healing mat.
I might try other tensegrity structures, but some need holes like the bed slat structure which is a step up in terms of equipment and skills.
Tiles on a temple wall, Bangkok, Thailand
#TilingTuesday #temple #geometry #tiling #MathArt #photography #architecture #design
#TilingTuesday Flowery tetradecagon dissection into rhombuses and stars.
Over my years in academia, I helped create a variety of free online mathematical materials. Pirouette is a Spirograph clone that runs in a web browser. I hope you and your students enjoy the software! Read more:
https://www.diffgeom.com/blogs/free-online-math-materials/pirouette/
And a generalisation that needed more to work to do.
#animation #loop #CreativeCoding #IslamicPattern #geometry #geogebra #tiling #MathArt #pattern #GraphicDesign #design
A looping animation. I didn’t expect to need to scroll the shapes to loop correctly.
h/t https://mathstodon.xyz/@JeanBaptisteEt4/114739933827848761
#animation #loop #CreativeCoding #IslamicPattern #geometry #geogebra #tiling #MathArt #pattern #GraphicDesign #design
Parquet flooring, Catholic Church of St. Edmund, Bungay, England
A detailed architectural guide is at https://waveneyvalleycatholics.church/guide/
A star knot for #TilingTuesday
A dodecagon ring can be made from squares and triangles. There are three nice way to connect decagon rings to hexagons - each with a small star inside. If you connect the rings into a larger hexagon you start seeing a koch snowflake. This snowflake can also be tiled with squares and triangles, joining select shapes you can make a nice knot.
Koch revisited! Another non-regular fractal produced with the idea of the previous post https://mathstodon.xyz/@DaniLaura/114715501148741420 (and no randomness), see first figure. Each triangle generated from a side also depends on the sizes of the current neighbour sides, not just from the side size. Two opposite triangles are generated from each side, the internal one being invisible (but its offspring do not inherit this trait). In the second figure a regular variation where triangles are put off-centre. Here the initial triangle is not drawn as well.
#fractal #mathart #algorithmicArt #AbstractArt #geometry
More cairo animals. Here the base cairo tiles had the sides curved.
#TilingTuesday #CairoTiling #mathart #tiling #art
A generalisation of Bourgoin Plate 142 using an underlying 4-uniform tiling [334.12; 343.12; 3464; 46.12] https://en.wikipedia.org/wiki/List_of_k-uniform_tilings (also p. 177, Keith Critchlow, Islamic Patterns) https://tilingsearch.mit.edu/HTML/data12/P142.html
#IslamicPattern #geometry #geogebra #tiling #MathArt #pattern #animation #loop #CreativeCoding #GraphicDesign #design
A variation with a single variable
#IslamicPattern #geometry #geogebra #tiling #MathArt #pattern #animation #loop #CreativeCoding #GraphicDesign #design
Mudéjar exterior wall, Cathedral of the Savior (La Seo de Zaragoza), Zaragoza, Spain
“The long-standing rivalry between the canons of El Pilar and of La Seo was well known in the 17th century. ...[In] 1676, Pope Clement X made the Solomon-like decision to merge the two chapters via the Bull of Union. 6 prebendaries and 15 canons would reside in La Seo, and the same in El Pilar, and the dean would live 6 months in each one.” https://en.wikipedia.org/wiki/Cathedral_of_the_Savior_of_Zaragoza
Generalisation of Bourgoin Plate 141. See https://tilingsearch.mit.edu/HTML/data12/P141.html
1/2
I have devised a procedure for creating a novel kind of iterative fractals, based on sectors of circumference (they cannot be produced by segments). For each sector, defined by a point, a radius, and two angles (see second picture), a substitution is defined producing a sequence of sectors. In that image, a substitution is shown which produces three new sectors, based on the parameter 𝛽, the middle portion of the original sector which is replaced with a new sector with smaller radius spanning half a turn. The lateral sectors are reduced in spread but not in radius. The first picture shows a subfractal produced when 𝛽 = 1/3, starting with a sector which spreads a full turn. The third picture shows an artistic rendering of the same fractal, where just the initial sector (a circle) and the newly added semicircles are drawn.
Next post will show further versions.
Alongside the research program "Illustration as a Mathematical Research Technique" (more information here: https://www.ihp.fr/en/news-research-activities/t1-2026-illustration-mathematical-research-technique), there will be a #MathArt exhibit from 9 April to 25 July with an open call for participation. This includes artists, mathematicians, and scientists from all countries wishing to contribute to this exhibition. Participation in the research program is not required! All formats (painting, sculpture, digital art, etc.) are welcome. Submission here: https://www.ihp.fr/en/actualites-science-et-societe/creation-entre-art-et-mathematiques-aap.