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Tim Hutton
Works at Microsoft Research
Attended University College London
Lives in Cambridge, UK
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Tim Hutton

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Fun web toy! Drag the right-hand stick figure around in a strange world. Try circling the origin.
 
A humble JS applet, will be used in a colloquium lecture.

http://www.math.univ-toulouse.fr/~cheritat/StraightSQ/slit-1.html

The classical phenomenon it illustrates can be presented as follows:

It shows two equivalent points of view on some strange world:
left: Stickman lives in a normal world with a portal. Stickman's size is divided by 3 when it passes the portal in one direction, multiplied in the other direction.
right: Stickman lives in a world without portals and where going away and coming back leaves you with your initial size, except if you traveled around the singularity.

The correspondence between the two worlds is given by a holomorphic function: z maps to z to the power alpha, where alpha is a well-chosen complex number.
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Indeed, I added a second character, making the point more clear (I hope).
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The most important thing for humanity to do right now is to invent true artificial intelligence (AI): machines or software that can think and act independently in a wide variety of situations. Once we have artificial intellig...
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Part of a series of nice visualizations of Möbius transformations on http://hyrodium.tumblr.com/
Two red circles which are tangent are transformed into parallel straight lines.
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Now there are two!
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Another amazing reaction-diffusion system from +Cornus Ammonis. Ready file in the youtube description.
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The three types of eight-fold way path on the Klein Quartic.

Source code and mesh files here: https://github.com/timhutton/klein-quartic
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Thanks! Looking forward to your next video!
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Have him in circles
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Google achieves one of the long-standing “grand challenges” of AI by building a computer that can beat expert players at the board game Go.
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New version of an interactive program for exploring Möbius transformations. Now with properly curved grid lines and arrows.

Question: is the resemblance of the image below to vortices you might see in your cup of coffee just a pleasing coincidence, or is there something about smooth transforms of sufficient complexity that leads to what looks like turbulence?
mobius-transforms - Exploring Mobius transformations
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The real and imaginary part of a complex function are solutions to the Laplace equation. If you solve a potential flow from the poles to the zero’s, then lines orthogonal to the potential flow are real and imaginary parts oa a complex function.
 
These will look as vortices, because these are also solutions to the Laplace equation. I guess your arrows would be a complex function, ie the arrow (dx +idy) are f(x+iy).
 
Just thinking:
Maybe instead of lines orthogonal to a potential flow, you could construct a viscous flow directly that emulates the arrows. Instead of pumping fluid in and out at the poles and zero’s, you put shafts (axis orthogonal to the complex plane) rotating counterclockwise at the poles, and clockwise at the zero’s, and solve the viscous flow.
 
That might be fun..
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Interactive exploration of the Möbius transformations, by dragging the four parameters a, b, c and d around on the complex plane.

http://timhutton.github.io/mobius-transforms/
mobius-transforms - Exploring Mobius transformations
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For orientation-preserving hyperbolic isometries, the function of interest is 'Isometry', at line 96 of this file:

github.com/roice3/MagicTile/blob/master/R3/R3.Core/Math/Mobius.cs

Hopefully the comments make it understandable.  They describe what specific form the a,b,c,d Möbius coefficients take for motions of the disk.  This is the most important and powerful function in this code file.

For panning in particular, the function of interest is 'PureTranslation', at line 144.  That calculates the Möbius transform that moves one point to another such that a line through the origin (and parallel to p2-p1 in a euclidean sense) undergoes a translation.  MagicTile calls this function with two (close) points selected by mouse dragging.  Note that the implementation leverages the main Isometry function.

One other comment...  I experimented with other ways of doing hyperbolic mouse dragging.  I ended up liking Don's original implementation best, but there are other natural choices too.  For example, when dragging the plane from one point to another, you can pick a motion that moves the point along along a geodesic ('Geodesic' function, line 160).  I remember that this one behaves pretty wildly when you drag points near the boundary of the disk.
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Make your own Klein Quartic out of card! Download printable shapes and instructions at https://github.com/timhutton/klein-quartic
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Just finished! Very intense toward the end :) Late for dinner now, but will send a photo hopefully later
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I posted something a few days ago about Finland's basic income experiment, but it was pretty short on details. This article gives a lot more context.

In short, they're starting an experiment in 2017 that will judge the effects of a smaller basic income, and without doing existing benefits. Then they're going to explore several options, from a negative income tax, to the reported €800 BI, to several other schemes. Most importantly, they're taking a very data driven approach -- something that doesn't happen enough here in the US. The rest of us can learn a lot from this, and I'm excited to see the results!
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Cambridge, UK
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Derby, UK - London,UK - Stroud, UK - Warwick, UK
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Computer Games, Artificial Life, Cellular Automata
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  • Microsoft Research
    Computer Vision Consultant, 2014 - present
  • Rare Ltd
    Kinect Engineer, 2013 - 2014
  • Eurocom
    Research Programmer, 2006 - 2012
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  • University of Warwick
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Tim Hutton's +1's are the things they like, agree with, or want to recommend.
Golly
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Golly is an open source, cross-platform application for exploring Conway's Game of Life and many other types of cellular automata.Key featur

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YouTube - Lawrence Lessig Occupy Wall Street Could Bridge Left And Right
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Getting the Book Invented
vimeo.com

Animation for a competition run by the Literary Platform to design motion graphics to accompany a prophetic recording by Douglas Adams from

YouTube - UC Davis Pepper Spray Incident, Four Perspectives
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Create AccountSign In. Home. BrowseFilmsUpload. Hey there, this is not a commercial interruption. You're using an outdated browser, whic

MeshLab for Android
market.android.com

MeshLab for Android is an advanced 3D model viewer for Android. MeshLab for Android has been designed to be able to display complex 3D objec

Kate Bush - Rocket's Tail
www.youtube.com

A great song from her 1989 album "The Sensual World". The song features The Trio Bulgarka on backing vocals and David Gilmour on guitar. It'

SmoothLife
www.youtube.com

SmoothLife examples. Download source code and Windows executables from sourceforge (link see channel description).

Mathematical Impressions: The Surprising Menger Sponge Slice | Simons Fo...
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The Menger Sponge, a well-studied fractal, was first described in the 1920s. The fractal is cube-like, yet its cross section is quite surpri

Man On A Mission
vimeo.com

Produced by Motive Television - Directed by Maurice Sweeney - For more info contact jamie@motive.ie

Complex Ginsburg-Landau Reaction-Diffusion
www.youtube.com

This is the output (of a work in progress simulation file) made in the open source Reaction-Diffusion solving software 'Ready' (a .vti file)

Kate Bush and Trio Bulgarka interview
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Starts out with an interview with one of the Trio Bulgarka, Kate joins later and talks about meeting them and the work they did on the album

Reaction Diffusion PBR Sphere with Mapped Parameters
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Gray Scott reaction-diffusion is solved on the surface of a sphere (in 2 dimensions) and has the values for its two main parameters (f and K

YouTube - Interaktivní "Kinect" pískoviště (sandbox)
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Caturday: “Starting Out Small” – Boing Boing
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Xeni Jardin. Boing Boing partner, Boing Boing Video host and executive producer. Xeni.net, Twitter, Google+. Email: xeni@xeni.net. Upcoming

YouTube - David Gilmour Wish you were here live unplugged
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YouTube - Quantum Levitation
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SSE
www.songho.ca

SSE (Streaming SIMD Extentions). Download: sse_msvc.zip, cupid_msvc.zip. SIMD (Single Instruction, Multiple Data, pronounced "seem-dee&

Easily the best food pub for miles around.
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reviewed 2 years ago
Really nice food, and interesting enough to give you something to talk about. I had the crispy lamb belly which was superb, just right for a lunch time.
Food: ExcellentDecor: ExcellentService: Excellent
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Best Chinese takeaway I've ever had.
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One of the nicest Chinese restaurants I've ever been to.
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