Replying to @ungarjo

With a south-polar projection the numbers could go clockwise.

Mon Oct 01 08:35:10 +0000 2018


When it doesn’t matter if this was posted as a photo or as a rendering demo. https://twitter.com/Gilenlinn/status/1046531452714831872

Mon Oct 01 13:14:59 +0000 2018


Replying to @divbyzero and @KelseyAHE

There’s a market for a chalkboard/whiteboard/ink pen that draws dotted lines.

Mon Oct 01 16:52:05 +0000 2018


Coincidence is meaningful. Is that backwards? Else anything backwards read, when sense makes only this.

Tue Oct 02 17:02:15 +0000 2018


Replying to @tim_hutton

(“This only makes sense when read backwards. Anything else backwards that is meaningful is coincidence.”)

Much better examples of word-level palindromes here: http://www.kmjn.org/notes/word_unit_palindromes.html

“Mind your own business: Own your mind.”

“Escher, drawing hands, drew hands drawing Escher.”

Thu Oct 04 09:28:02 +0000 2018


RT @davidschneider: Roses are red The Tories don’t listen They press on with Brexit And prompt this from Nissan.

Happy #NationalPoetryDay!…

Thu Oct 04 10:09:31 +0000 2018


Replying to @jtmaths

It must be a rhombic dodecahedron.

Thu Oct 04 16:26:02 +0000 2018


And yet there are those in the UK who would open up the NHS to privatisation. https://twitter.com/APWestRegion/status/1047632131063726080

Thu Oct 04 19:41:12 +0000 2018


Replying to @richturton

Floating-point errors. This simulation has been running for too long.

Fri Oct 05 12:31:20 +0000 2018


Replying to @DrCDArmstrong

The Bayer pattern. https://en.wikipedia.org/wiki/Bayer_filter

It uses more green than red or blue to ‘mimic the physiology of the human eye’.

Fri Oct 05 13:43:02 +0000 2018


Replying to @roice713

Can you do the airfoil version of the Joukowsky transform, just for fun? https://en.wikipedia.org/wiki/Joukowsky_transform

Mon Oct 08 09:54:17 +0000 2018


Replying to @jgrahamc

BREAKING: WebAssembly coming to the BBC Micro. Big news if true!

Tue Oct 09 13:29:22 +0000 2018


I really hope they make a rhombic docahedron version of this, because then the reflections will actually line up. (I think?) https://en.wikipedia.org/wiki/Rhombic_dodecahedral_honeycomb A cube would work too but would be a bit dull. What other shapes would work? https://twitter.com/tweetsauce/status/1022911077984755713

Tue Oct 09 14:18:21 +0000 2018


Replying to @VRCryptocoins

None of the stellations of the dodecahedron tessellate 3D space.

Tue Oct 09 15:31:54 +0000 2018


Replying to @VRCryptocoins

Euclidean space, that is. The dodecahedron itself tesselates hyperbolic space, e.g. https://en.wikipedia.org/wiki/Order-4_dodecahedral_honeycomb (I wonder if we can make that using curved mirrors?)

Tue Oct 09 15:37:17 +0000 2018


“My parents wouldn’t let me shave [my head] earlier, so I made a PowerPoint presentation to convince them. I strategically put pictures of bald women in there. My dad was laughing so hard the whole time he couldn’t even pay attention.” https://variety.com/2018/politics/news/emma-gonzalez-parkland-interview-1202972485/

Tue Oct 09 16:42:57 +0000 2018


Replying to @3Dmattias, @METAbeyond and @Flexi23

Yes, this is the cube version, there are a few versions around. But I’ve never seen a rhombic dodecahedral version.

Wed Oct 10 16:43:26 +0000 2018


Replying to @tim_hutton

Wikipedia image request: we really need an image of what it’s like being inside the rhombic dodecahedral honeycomb. Maybe @roice713 or @henryseg this would be easy with your software?

Wed Oct 10 20:32:39 +0000 2018


Replying to @VRCryptocoins

Just came across this. Is this what you had in mind? Wasn’t the 3D grid thing I had in mind but still super cool. https://twitter.com/Rainmaker1973/status/982925443283259392

Thu Oct 11 09:58:59 +0000 2018


Replying to @VRCryptocoins

The same idea, showing how to make all the platonic solids: https://www.youtube.com/watch?v=zTS9SN18E58

Thu Oct 11 10:12:07 +0000 2018


Replying to @tim_hutton

Here’s a dodecahedral version, suffering from the same ‘problem’ that they don’t line up nicely to make a 3D space: https://www.youtube.com/watch?v=U4jQZxLugzA

Thu Oct 11 10:22:53 +0000 2018


Replying to @roice713, @Sabetta_ and @henryseg

Perfect, thanks!

Thu Oct 11 10:52:01 +0000 2018


Replying to @apgox

If the mirrors in the polyhedron bulged inwards slightly, would it look like hyperbolic space inside?

Thu Oct 11 13:12:28 +0000 2018


Replying to @apgox

Yes, I see it now, thanks. It has an intriguingly similar appearance - to explore the idea in 2D I made this povray image of a square room with mirrored cylindrical walls bulging inwards slightly. The actual floor is visible at the bottom, everything else is reflections.

Thu Oct 11 14:59:42 +0000 2018


Replying to @apgox

And just for completeness, a cube with inward-bulging mirrored spherical faces:

Thu Oct 11 16:01:26 +0000 2018


If you stand inside the cubical space made by the intersection of six mirrored spheres it feels a little bit like being in hyperbolic space. As @apgox points out it isn’t the same but it makes pretty images none the less.

Bonus image: the 2D version, with 4 cylindrical walls.

Thu Oct 11 16:06:38 +0000 2018


Replying to @roice713, @apgox, @vihartvihart, @AndreaHawksley, @Sabetta_ and @henryseg

Yes, great paper. I used POV-Ray, with very simple textures (like pigment { color Red } finish { reflection 0.7 } ). The organic feel is just a happy accident. I’ve just noticed the 3 orthogonal color rings at infinity. I can share the files if anyone wants them.

Thu Oct 11 21:22:18 +0000 2018


When our cat is at her most comfortable she will reach out and ever so gently rest a single claw against my jugular, then close her eyes contentedly.

Fri Oct 12 21:06:08 +0000 2018


Replying to @bendwavy, @roice713 and @henryseg

I made one with Curved Spaces and put it here: https://en.wikipedia.org/wiki/Rhombic_dodecahedral_honeycomb

Sun Oct 14 12:38:41 +0000 2018


RT @Awfidius: @dimadamen @Michael_J_Black When we were presenting David with his BMVA Distinguished Fellowship in 2011, we reassembled his…

Tue Oct 16 17:59:50 +0000 2018


People don’t want Brexit any more. We’ll be at the #PeoplesVoteMarch in London on Saturday calling for politicians to wake up to this fact. It’s absolutely not what I want to be doing with my weekend but this is too important an issue. http://uk.businessinsider.com/brexit-polls-show-britain-wants-to-remain-in-eu-2018-9

Thu Oct 18 20:48:27 +0000 2018


Replying to @tim_hutton

Holy. Flip. That was big. Estimates now of 670,000 people at the march today. The cheer waves that went down Green Park were extraordinary. All ages. All well-behaved and very cheeky and energised.

Sat Oct 20 16:17:21 +0000 2018


RT @Simon_Gregg: @RodBogart @icecolbeveridge @Dragon_Dodo @Gelada @mathhombre @chalkdustmag @mathinyourfeet @PuntMat @dandersod @DavidKButl…

Mon Oct 22 10:50:27 +0000 2018


Replying to @robinhouston

4chan is the new arxiv?

Tue Oct 23 09:53:30 +0000 2018


Dodecagon-hexagon-square Truchet tiles. Any tile can be rotated into multiple positions to make a new pattern. https://twitter.com/Simon_Gregg/status/1055053543957241856

Wed Oct 24 12:12:09 +0000 2018


Replying to @apgox and @ladyjadeamanda

Thanks Adam! Nice talk.

Wed Oct 24 13:28:15 +0000 2018


Adam’s 6-minute talk from April 2018, with exciting glimpses of cellular automata and the key problem in artificial life.

His GPU-powered artificial chemistry engine is here: https://gitlab.com/apgoucher/hex13 https://twitter.com/apgox/status/1055062613309247488

Wed Oct 24 13:36:59 +0000 2018


Note to self: have a small mirror handy when you get a new webcam so that you can show people what it looks like.

Fri Oct 26 16:29:07 +0000 2018


RT @xpuigc: Ron Lawson b.1960

Mon Oct 29 10:48:24 +0000 2018


RT @ArchDaily: Pavilion UGUNS / DJA https://goo.gl/miPtFr

Tue Oct 30 10:30:17 +0000 2018


RT @henryseg: Video version of the instruction booklet for our @MathMechs extensor construction kit! https://youtu.be/eIlhcfUvt-o

Tue Oct 30 13:39:08 +0000 2018


Replying to @JimPropp

All wishes must comply with the Novikov self-consistency principle. https://timhutton.github.io/2014/01/23/36692.html

Tue Oct 30 17:22:26 +0000 2018