Decorative knots

trefoil-ornamentsI’ve been back printing on the FormLabs 1+ liquid printer this week. I decided it was time to print out some more knots, this time for use as festive decorations. I printed out Laura Taalman’s Trefoil Managerie and used some red gift ribbon to create ornaments. Previously Laura had given me a torus with a (5,2) torus knot. I also turned this into a decoration.



I’ve also printed more snowflakes. Again from Laura Taalmans’ Snowflake Machine, the small snowflakes that have a circle so you can hang them up. Awesome.

Math is all around us…

IMG_3652The holiday’s are fast approaching, and I had a flash back to the movie Love Actually and the song “Love is all around you”. I feel the need to change the first word here (Math = Love?) , since many Christmas decorations show a remarkable amount of geometry to them.

IMG_3648I went to this wonderful tree lighting ceremony and cookie party at W&L and was completely distracted by both the amount of sugar available (cookies, cupcakes, brittle, candy, cider, hot chocolate, …) and the fabulous decorations. These included the stellated star (above) and the fabulous minimal surfaces created by stretching fabric between a table top and it’s legs. The red lighting just added extra pizzazz.


IMG_3657I’ve also seen a lot of knots out there in the real world. My favorite is this folded trefoil knot on the back of a truck. Exactly the kinds of knots I’ve been researching with my undergraduate students.

knot-earing One of my friends I knit with has the best earrings – nice and knotty! Fun way to be festive at this time of year. (She’s a graphic designer, so was greatly amused at my need to take a picture of her earrings!) I believe that this earring is a true lover’s knot.




IMG_3623I’ve a had blast the past week or so 3d printing some snowflakes. They are for the math department for decorations around the holidays.

I’ve been using Mathgrrl’s (aka Laura Taalman) snowflake ornaments (Thigiverse thing 195032). She’s since customized the design here:

I also had a blast printing some of her fractal snowflakes from the Snowflakerator snowflake machine found here:

IMG_3677I even designed a few of my own found here, here and here.

Math at the Simon’s Center for Geometry and Physics

IMG_3442I had the very great privilege of being a co-organizer of a workshop held at the Simon’s Center for Geometry and Physics and NYU Stony Brook. This was the workshop on the Symplectic and Algebraic Geometry in the Statistical Physics of Polymers. It was my first time to this campus, and I had a blast with both the math at the workshop AND all the visualization of math in the environment.

My first hint that things were going to be special, was the fantastic Umbilic Torus sculpture found at the end of an avenue of trees between the center and the math department.

IMG_3434The sculpture is by Dr Helamun Ferguson, click  here to find a photo gallery showing the design and construction of the piece. 

The sculpture consists of a space filling curve all over the surface of the sculpture. The sharp curve along the edges is a trefoil knot, winding three times around the central hole (the longitude on the torus) and twice around the sculpture the other way (the meridian on the torus).

The base of the sculpture is a large round granite disk with a 3 sided deltoid mirroring the 3-fold symmetry of the sculpture overhead. The base had to be left to settle for a year, and was greatly loved by the local skate-boarders!


The Simon’s Center itself is in a wonderful airy building, with mathematical themes blended seamlessly in the design. I kept finding treasures as the workshop went on. The most obvious, is the sandstone wall behind the stair case leading up to the cafe on the second floor. It is covered with small math motifs from knots, to physics, to finding the square root of 2.


Even the screens on the side of the first floor lounge are mathematical, with different tilings of the plane illustrated. Just love the artistry of the designs in them.

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