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Henry Segerman
Works at Oklahoma State University College of Arts and Sciences
Attended University of Oxford
Lives in Stillwater, OK
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Henry Segerman

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Hyperbolic Catacombs Carousel

Take an immersive spin around the {3,7,3} honeycomb in the upper half space model.  See the paper Visualizing Hyperbolic Honeycombs to learn about this strange world.

arxiv.org/abs/1511.02851

This video came about from a fun evening of equirectangular projections with +Henry Segerman and +Vi Hart.
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Yes! Way so cool !
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More spherical video trickery!: A two-fold branched cover of my apartment. 
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What is this sorcery?
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Now you're thinking with portals: Schottky commutator. 
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The easy thing to do would be to slow down to a stop when we return to the home position, rather than moving at constant velocity. There should also be some way to "round" the corners in the path instead.
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Another spherical Droste effect, except with zooms along two different directions, generated by a Schottky group.
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Love it! (I still miss your SL constructions, however).
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{3,6,∞} honeycomb in spherical video

And now spherical video of a honeycomb with a repeating euclidean pattern on the boundary.  This time a parabolic Möbius transformation with a fixed point at the south pole is applied to get the animation, an idea suggested by +Henry Segerman.

I slowed the movement down a bit and made it longer.  The colors don't change under this transformation because we aren't moving through different cells.  

Again, you should be able to extend the playback by right-clicking and selecting "Loop".
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I wrote a guest blog post for +Vi Hart's, +Andrea Hawksley's and +Emily Eifler's research group eleVR, on editing spherical video with Möbius transformations.

http://elevr.com/spherical-video-editing-effects-with-mobius-transformations/
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I love watching these in standard video. And the rotation around Vi's eyes is horrifying. In a good way.
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Have him in circles
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Henry Segerman

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+Kelly Delp, +Saul Schleimer, +Laura Taalman and I are organizing a week long workshop at ICERM, to be held June 27 - July 1, 2016, on "Illustrating Mathematics": Making procedurally generated representations of mathematical objects in many different media. Applications to attend are now open!
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+Kelly Delp, +Saul Schleimer, +Laura Taalman and I are organizing a week long workshop at ICERM, to be held June 27 - July 1, 2016, on "Illustrating Mathematics": Making procedurally generated representations of mathematical objects in many different media. Applications to attend are now open!
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Once logged in, https://app.icerm.brown.edu/Cube becomes "Not Found," but https://app.icerm.brown.edu/Cube/apply still works. Problem solved. 
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{7,3} Surfboard

For our tenth anniversary, +Sarah Nemec-Nelson planned a perfect gift, a custom surfboard that I could decorate with mathematical art.  We've spent a lot of time in Galveston the last few years, and I've really enjoyed learning to surf.

So I've been playing with and tuning a number of ideas, finally settling on this.  The surfboard deck will look like the left portion of the image.  The pattern used is on the right.  It is the {7,3} tiling in +Vladimir Bulatov's band model, along with a gray outline of its {3,7} dual and a colorful Coxeter complex.  Like the Poincaré disk, the band model is a conformal model of the hyperbolic plane.  The coloring is based on ideas developed with +Henry Segerman for our paper Visualizing Hyperbolic Honeycombs.

The surfboard will be shaped by James Fulbright of Strictly Hardcore Surf Specialties, and BoardLams will do the printing (on fiberglass).  I'm stoked!  I'll be sure to post pictures of the end result.

Relevant Links

Vladimir's band model:
bulatov.org/math/1001/

More on the band model (in French, but google translate works pretty well):
images.math.cnrs.fr/Ringworld.html

Visualizing Hyperbolic Honeycombs:
arxiv.org/abs/1511.02851

Strictly Hardcore Surf Specialties:
www.surfspecialties.com/

BoardLams:
www.boardlams.com/
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In Which the Viewer Time-Travels into the Past by the Use of Portals: A Spherical Droste Video. 
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+Rick Rubenstein I think that to have this work, the script would have to have made its way through the portal with the viewer. Which would have required considerably more movie magic than I'm able to do!
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Applying the complex exponential map to spherical images: everything looks reasonably normal in front of you, but there are infinitely many copies of the room behind you.
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You can download the Ricoh theta app, it lets you move the camera around with your finger, although not the accelerometer.
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Numerically-balanced d20 dice, joint work with +Robert Fathauer and +Robert Bosch. These dice are very carefully numbered, so that they are "balanced" around the vertices. More details at http://thedicelab.com/BalancedStdPoly.html
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Maths way too hard, think physics.  X-ray the dice, check for bubbles, and sell the best ones at a premium
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Have him in circles
1,977 people
Aural Aurora's profile photo
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Work
Occupation
Mathematician
Employment
  • Oklahoma State University College of Arts and Sciences
    Assistant Professor, 2013 - present
  • The University of Melbourne
    Research Fellow, 2010 - 2013
  • The University of Texas at Austin
    Lecturer, 2007 - 2010
Places
Map of the places this user has livedMap of the places this user has livedMap of the places this user has lived
Currently
Stillwater, OK
Previously
Melbourne, Australia - Austin, TX - Palo Alto, CA - Stanford, CA - Oxford, UK - Manchester, UK
Story
Tagline
segerman.org
Introduction
Mathematician, working mostly in 3-dimensional geometry and topology, and mathematical artist, working mostly in 3D printing.
Education
  • University of Oxford
    Mathematics, 1997 - 2001
  • Stanford University
    Mathematics, 2001 - 2007
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Gender
Male