@henryseg@mathstodon.xyz
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henryseg

@henryseg@mathstodon.xyz

Mathematician working mostly in three-dimensional geometry and topology, and mathematical maker/artist working mostly in 3D printing and virtual reality.
#Math #Maths #Art #3DPrinting #Geometry

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henryseg, (edited ) to random
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I'll be giving this month's Illustrating Math online seminar, Friday 2023-10-13 at 9am US Pacific time/noon US Eastern time/6pm central Europe time. Everyone is welcome! More details at https://illustratingmath.org/node/42 (Edit: the website seems to be down, the zoom link for the talk is https://wlu.zoom.us/j/99070727614)

henryseg, to random
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Why is blue bigger than red?

Video: https://youtu.be/Sbt-iFm0zTA

henryseg, to random
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Test shot for a 3D printed fractal tree.

henryseg, to random
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The community is starting up a monthly seminar series, starting on May 12th with @saulsch speaking about “Illustrating Geometry (and Topology)”. Details at https://illustratingmath.org/node/42

henryseg, to random
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A very small (~1 inch long) lizard audited my general topology class today. Anyone know what species it is?

henryseg, to 3DPrinting
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A "recursive" mechanism, where the position of each part is determined by the positions of the previous two parts in the chain. Full video at
https://youtu.be/ckrrQTkTqIo

An expanding mechanism made from racks and gear wheels.

henryseg, to random
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A real-life fractal zoom, made with 3d printing and motion control photography. Full video at https://youtu.be/S1kpqOqSttA

henryseg, to random
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Is anyone familiar with straight line mechanisms? (https://en.wikipedia.org/wiki/Straight-line_mechanism) The problem is to construct a linkage that converts rotation into linear motion. Unless I'm missing something, this is also a solution?

video/mp4

henryseg, to random
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Apologies in advance to the mathematicians who follow this link: https://cims.nyu.edu/~tjl8195/survey/results.html

henryseg, to random
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Peaucellier–Lipkin linkage, made by my brother Will and me.

A 3D printed linkage draws a straight line with a pencil.

henryseg, to random
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Booth all set up at http://opensauce.live with @sabetta

henryseg, to random
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Premiering on YouTube in about 5 hours, Tom Crawford (of TomRocksMaths) and I get lost in a branched cover of the library at St Edmund’s Hall, Oxford.

https://youtu.be/f8C8hlAmdVc

Henry rolls a football on a table towards a “branch point”. The football magically splits into two footballs on passing through the branch point.

henryseg, to random
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New video about wild knots:
https://youtu.be/o7U3yvMF8Sw

henryseg, to random
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What parking space number is under the backpack?

henryseg, to random
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At the Serious recreational mathematics session at the joint mathematics meeting. Persi Diaconis’ train is stuck on the way to San Francisco so Erik Demaine is “improvising”, talking about curved origami.

henryseg, to random
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Real-life fractal zoom with added rotation! With the extra degree of freedom in the system, the feedback control code got quite a bit more complicated (I'm not sure how much the extra complexity helped).
Full video at https://youtu.be/S1kpqOqSttA

A camera moves towards a spinning 3D printed fractal, slowing down exponentially so that the view from the camera forms a looping video.

henryseg, to random
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I added a laser to my real-life fractal zoom. If the line goes through the top of the fractal it matches up with itself around the loop.
Full video at https://youtu.be/S1kpqOqSttA.

Zooming into a 3d printed fractal. A line of laser light shines on one side of the fractal.

henryseg, to random
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A geared mechanism in which the "gears" follow screw motions rather than rotate. Full video at https://youtu.be/0ZPo3HxR0KI

A 3d printed mechanism in which two helical gears move in a frame.

henryseg, to random
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Only took 14 years from my first YouTube video!

henryseg, to random
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If people vote for it and the organizers like it, I'll be part of a panel discussion at SXSW 2024 on "Unconventional Tinkering" with physicist Mithuna Yoganathan (https://www.youtube.com/@LookingGlassUniverse) and engineer Thomas Burns (https://youtube.com/@WorkshopNation), moderated by Nathan Toups. If you'd like to see this happen, you can vote for our proposal at https://panelpicker.sxsw.com/vote/135520

henryseg, to random
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henryseg, to random
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Slide-glide cyclides - a design discovered by Andrew Kepert when investigating ways to “see” why the area of a sphere is four times the area of a disk of the same radius. I added the gears and the base. Full video: https://youtu.be/KD_hRn_97RI

The disk shape.
Midway between the disk and the sphere.
The sphere shape.

henryseg, to random
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Red and Green lasers make for a fractal Christmas tree zoom! Full video at
https://youtu.be/uH8w7I1Og1I

video/mp4

henryseg, to random
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Surprised to find out that our Cannon-Thurston carving won a prize in the Mathematical Art Exhibition at the Joint Mathematics Meetings! With @saulsch and Will Segerman.

henryseg, to random
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Rational six-bar linkage by Daniel Huczala and collaborators. Here's the paper: https://arxiv.org/pdf/2403.00558

A linkage of six bars joined by revolute joints, rotating around a loop of configurations.

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