Looping animation of silver rectangles with sides decreasing by 1/√2.
Looping animation of squares with sides decreasing by golden ratio.
@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.
This one has regular octagons and rhombuses.
#animation #loop #CreativeCoding #IslamicPattern #geometry #geogebra #tiling #MathArt #pattern #GraphicDesign #design
This animation has two different kinds of white shape. Curiously, I made this before the ones with only one kind of white shape. This one has two sizes of squares.
#animation #loop #CreativeCoding #IslamicPattern #geometry #geogebra #tiling #MathArt #pattern #GraphicDesign #design
Eight- and four-pointed stars using different angles.
#animation #loop #CreativeCoding #IslamicPattern #geometry #geogebra #tiling #MathArt #pattern #GraphicDesign #design
No scrolling needed for eight- and four-pointed stars like this classic stars and crosses pattern.
June's High-Res Render for Patrons of Level Square and up is another 25600x8640pixel Panorama View. This Time we have a Hepta-antiprismic Symmetry Quasicrystal.
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
Nature promotes diversity, don't be anti-nature.
Good #Stonewall uprising anniversary! (28th of June)
This piece was created as follows: each element was generated based on a prime number from 2 upwards, specifically the first six decimal places of its square root. The first four decimals defined the shape, the next two the colours.
Shapes are based on the properties of the plastic ratio (plastic as in plastic arts, not the infamous material), a lesser-known ratio with many interesting properties.
As can be seen in the second picture, there are several ways to connect the ends of a quarter of a unit circle as a sequence of quarter sectors with radii the inverse powers of this ratio, up to the fifth. There are exactly ten possibilities disregarding sector rotations, so each one can represent one decimal place (third picture), and four sides make up the whole shape.
For the colours, each decimal represents one of ten colours; inside they are renderend lighter and outside darker.
Lastly, the grey background was generated using the Halton sequences of 2, 3 and 5.
\(f(z)=\frac{z^{10}-a}{z^{12}+\frac{z}{a}}\)
with \(a\) on the unit circle.
Perfect loop
Parquet flooring, Catholic Church of St. Edmund, Bungay, England
A detailed architectural guide is at https://waveneyvalleycatholics.church/guide/