@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, 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,
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Tom and I also made an explanation video describing what's going on. You can see it over at Tom's channel at https://youtu.be/32iMuqq4MI4

henryseg, to random
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Why is blue bigger than red?

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

henryseg,
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Here’s an animation showing the trickery. Full video at:
https://youtu.be/Sbt-iFm0zTA

Two Lego space explorers, investigating a strange spacial anomaly (The Ames room optical illusion).

henryseg,
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Behind the scenes shot of the blue Lego space explorer being dragged away by a robot snake. Even seeing the second view and knowing what the shape of the room really is, when I look at the view from the first camera my brain tells me that blue is shrinking!
Full video at:
youtu.be/Sbt-iFm0zTA

video/mp4

csk, to random

I created an interesting new (free, web-based) puzzle app for mobile devices (works best on iPads, less-well-to-not-at-all on other devices). Want to try some challenging puzzles that blend spatial reasoning and manual dexterity? Just Slide to Unlock! https://slide.isohedral.ca/

henryseg,
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The last two-player level, but played with three people (@stevejtrettel did all the work, @sabetta and I supplied fingers.)

Playing "slide to open" with three people, one controlling a lazy susan on which the iPad is sitting.

andrewt, to random
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I feel like managed to make Breath of the Wild's most annoying feature much more palatable by actually making it even more pronounced — it's hard to care that your weapons keep breaking when every weapon in the game is already garbage.

Nintendo wanted the weapons to feel disposable and now they truly do.

henryseg,
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@andrewt Mask of the Majora.

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. #fractal #zoom #loop #3dprinting #motioncontrol #laser

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

henryseg,
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With the lights down low you can see the diffusion of the laser better.

video/mp4

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
#fractal #zoom #loop #3dprinting

henryseg,
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@jason Thanks Jason!

I could get sharp focus when close, but then I'd be out of focus when far away. I could have looked into automated focus control (Edelkrone sell one: https://edelkrone.com/products/focus-zoom-module-for-headplus) but it seemed like a lot of expense for not much gain.

I could also do multiple runs with the camera focused differently, but then I'd have more transitions to manage and I wouldn't be able to play with the laser across the transition.

And if I did get things in focus when close I think it wouldn't look much better - the near and far views will still look different just because you can see the difference in detail of the 3d print.

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,
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@isomorphismes Here’s a (temporary) link to the discord server: https://discord.gg/C9Av4uhF

henryseg,
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Now with a more human-readable link!: https://illustratingmath.org/seminars

HypercubicPeg, to science

I am writing something, and I want to refer to the isoceles triangle formed in a regular n-gon by two adjacent vertices and the center. Surely there is a simple name for it…isn’t there?

Any ideas?

henryseg,
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@HypercubicPeg If there is a standard name you’ll have to tell people what it is anyway - I don’t think it would be well known, if it exists. The words that come to mind for me are “sector”, “wedge”, and “slice of pizza”.

monsoon0, to science
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Does your work sit at the intersection of multiple fields of ? Imagine each field valued fundamental characteristics that the others do not. How do you build a career when those in one such field don't understand or care for the perspective of another?

henryseg,
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@monsoon0 Of course, the same problems of siloed departments and granting agencies exist when working across disciplines outside of mathematics or between mathematics and another field. The siloing is fractal.

The solutions I’ve seen are to 1) do enough in just one field to be acceptable there, mostly independent of work done in the other field; or 2) make friends with higher ups who can protect you despite your unusual position.

masonporter, to random
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But what if you satisfy that property but don’t enjoy it?

(from Feller, Vol. II)

henryseg,
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@masonporter What if you don’t feel satisfied either?

henryseg,
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@masonporter If I neither enjoy it nor feel satisfied, it sounds like I can't have my property and eat it.

JimPropp, to random

My Mathematical Enchantments essay on the aperiodic monotile is here, just in time for the one-month anniversary of the preprint that announced it to the world! See “Seekers of the One-Stone”: https://mathenchant.wordpress.com/2023/04/20/seekers-of-the-one-stone/

henryseg,
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@JimPropp This was a great read!

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