@dotUser@mastodon.social Did icosa go down, or was there an outage notice or upgrade announcement that I missed?

hmm, icosahedron.website (where my main account lives) appears to be down

The Eudoxus Real Numbers
Article by Arthan, R. D.
In collection: Unusual arithmetic
This note describes a representation of the real numbers due to Schanuel. The representation lets us construct the real numbers from first principles. Like the well-known construction of the real numbers using Dedekind cuts, the idea is inspired by the ancient Greek...
URL: arxiv.org/abs/math/0405454
PDF: arxiv.org/pdf/math/0405454v1

Just a few weeks ago, my colleagues and I published a review article on a problem I like to think of as the TARDIS of math: It looks small, but it's bigger on the inside, and it takes you to unexpected places. mdpi.com/2075-1680/6/3/21

I tried to make the bibliography comprehensive, but new work has come out, so it's already outdated: scirate.com/arxiv/1707.09911

And this morning I was sent a draft of a new paper, so it'll be outdated yet again soon

This is a good thing!

"Good mathematicians see analogies between theorems; great mathematicians see analogies between analogies."

just noticed I didn't include the link! It's at codepen.io/christianp/full/Ojm

Inspired by Alison Kiddle, I've made an Auto-Santa 3000: given a list of naughty things, add up the scores of the things you did. Then it uses the total to tell you the things you did! mathstodon.xyz/media/wabXGCyuS mathstodon.xyz/media/BiBHC_ZU9

"Dimension towers of SICs. I. Aligned SICs and embedded tight frames"

arxiv.org/abs/1707.09911

There's some good stuff in this essay, "Do Mathematicians Have Responsibilities?": math.columbia.edu/~harris/othe

The editorial board for the Journal of Algebraic Combinatorics left to continue the journal under a new name in Open Access form:

gowers.wordpress.com/2017/07/2

#mathematics

New paper dance! ✍️📚 💃 🎶

doi.org/10.1140/epjd/e2017-800

New paper dance!

"The SIC Question: History and State of Play" -- mdpi.com/2075-1680/6/3/21

Just spent half an hour with my summer student getting into the subtleties of the conditions required for "throwing two dice" to have 36 possible outcomes.
I came up with a good example: I'm colourblind, so if we throw a red and a green die at the same time, the student can distinguish them, but I can't. So the outcomes are a property of the observer, not the trial itself.

Pentagon Tiling Proof Solves Century-Old Math Problem, _Quanta Magazine_, quantamagazine.org/pentagon-ti

I already posted about this a couple of months ago (plus.google.com/10000362860341) but now there's this nice popular-press article, and confirmation on the correctness of "the most important half of Rao's proof" by Thomas Hales.﻿

I wish I could express how exciting it is to have a SIC solution in dimension 844:

arxiv.org/abs/1707.02944

844^2 = 712,336 lines, in a space where map coordinates use the square root of minus one, and every pair of those lines meet at exactly the same angle
#quantum #physics / #mathematics

Today in #quantum #physics / #mathematics: I updated our introductory review article on complex equiangular lines, a.k.a. symmetric informationally complete quantum measurements.

arxiv.org/abs/1703.07901

The bibliography is caught up to this week's news, and the historical overview section is more comprehensive than it was in the previous version.

Early career researchers: have you been bullied into doing bad science? Pressured to publish only in "prestigious", non-open journals?
There's a letter to sign.
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