#Islamic Geometry

I traced the pattern wrong in Islamic geometry class and the teacher (who’s also a math teacher) was flabbergasted. She’s had people get things wrong a lot when making the pattern, but they figure it out because things go wrong fairly quickly. I managed to go through all the steps doing the entirely wrong thing. She laughed a lot when I told her this was usually how my math problems went in school, too. Anyway check out Samira Mian , she has great YouTube videos and workshops on Islamic geometry. May your hexagons actually turn out hexagonal, and if not, may you have a beautiful and logical accident.

Fatepur Sikri In the discussion of that Tanton problem today, Rebin Muhammad brought up this related tiling - the Fatepur Sikri. Very interesting! He also noted that Samira Mian has a nice tutorial for it. This applet generalizes it, but, as is often the case, you realize that the original designers made some optimal choices. I was interested because it’s two overlaid Pythagorean tilings, but the scale between the large and small square and the angle of rotation is pretty interesting. I’m wondering if there is also an optimal angle for other scales? Play on GeoGebra .

Sun and sky

Made another tile from an Andalusian pattern and honestly felt so high when I finished, simply from the joy of beginning something last night and finishing it in the afternoon. Please follow Samira Mian and her workshops; she’s a great teacher and a wonderful artist.

going bonkers and drawing geometric patterns i’ve been so. inspired? by islamic geometry and patterns and its like a fly buzzing around in my brain constantly

Geometric card with envelope 461

This isn’t perfect - neither was my calligraphy when I first started here.

Dug out the watercolours and my Islamic Geometry class work from storage!

IGP Got fascinated by this pattern while doodling. I liked the sometimes alternating orientation of the hexagons. I think it’s consistent? Made in https://apps.mathlearningcenter.org/pattern-shapes/

Islamic Kites Playing with a pattern shared by Javier and Rebin , In their handout, the kites being rotated overlap in similar kites (Bottom Right). But that only happens for one specific placement of D given B and C. How would you find it? Play on GeoGebra .

Mamluk Stars Loved this 15th century panel from Mamluk Egypt shared by @nobrashfestivity . Had to take a crack at the symmetries. Built around rhombi rotating with proportions to make them line up with intersections. The angles turned out to be the angle in a regular polygon with half the symmetry! Play in GeoGebra . One of the notes on the original post is from an artist, @imyourfavoritechris , who did some cool studies of this.