@j2kun Huh, just played around with common ancestors and was really surprised that you and I are much more closely related than my husband and I are. It's my impression that his area is much closer to mine than yours is (e.g. he has written a paper with my advisor).
How to fold a bunny: https://www.youtube.com/watch?v=GAnW-KU2yn4
From Erik Demaine and Tomohiro Tachi's work showing that any 3d triangulated surface can be folded from origami; MIT press release at http://news.mit.edu/2017/algorithm-origami-patterns-any-3-D-structure-0622 and SoCG 2017 paper at http://erikdemaine.org/papers/Origamizer_SoCG2017/
The theoretical computer science (TCS) community just launched a new conference: the Symposium on Simplicity in Algorithms (SOSA)
While simplicity is always appreciated in mathematics and TCS, it's never been so explicitly encouraged. I'll be looking forward to see what simplifications come out of this.
https://windowsontheory.org/2017/06/17/the-1st-symposium-on-simplicity-in-algorithms-guest-post/
The mathematical paintings of Crockett Johnson, artist best known for Harold and his purple crayon:
http://www.atlasobscura.com/articles/crockett-johnson-math-art-paintings-harold-purple-crayon
In fact, one of the primary tools in the process being debated in this case is the use of a mathematical measure called the Efficiency Gap. More here: https://arxiv.org/pdf/1705.10812.pdf
This is huge! The supreme court is going to hear a case on partisan gerrymandering, in which they may rule about what process (including what mathematical techniques) can be used in a case that a partisan gerrymander is illegal.
http://www.cnn.com/2017/06/19/politics/supreme-court-partisan-gerrymandering/index.html
This is going to happen in October, just after I attend the Gerrymandering Workshop at Tufts. Exciting times!
A tweep suggests it's a cuboctahedron with diagonals drawn in on some of the squares. https://en.wikipedia.org/wiki/Cuboctahedron
Saw this cool solid as a playground climbing structure a couple weeks ago. Does anyone know if it has a name?
I spent longer than I care to admit searching for it in the list of Johnson solids before realizing it can't be a Johnson solid because it has 6 triangles around some vertices, which would lie flat if they were equilateral.
https://www.instagram.com/p/BVhlNfCHiCG/ https://mathstodon.xyz/media/GoLT-gr5AAaQmuZPbGw
Buckets of fish! http://jdh.hamkins.org/buckets-of-fish/
A cute combinatorial game that always eventually terminates, despite the players' ability to make games arbitrarily long. And despite the infinite game tree, there's a simple trick that makes its strategy easy.
Help wanted : We're looking for examples of the terms and conditions that the different Mastodon instances have used. Are they collected somewhere, or do we need to visit each instance separately and collect/collate them "by hand"?
We're looking for something close to what we want and which can then be twoke for our needs.
Suggestions?
TIA.
Just posted a tiling on Instagram for #worldtessellationday on Saturday. https://www.instagram.com/p/BVRO1XZgDdq/
I get a cube illusion when I look at this tiling. But I just realized maybe I shouldn't because this is not a look that's possible w/cubes. No face of a cube looks like a square unless you're looking at it straight on & then you don't see other sides. I guess that trip to the Picasso Museum must have worked! #cubes #cubism #getit
https://mathstodon.xyz/media/SCNgom-_B2mFd7ZhPrs
#worldtessellationday is coming up on Saturday. I think the best way to celebrate is to look down. https://blogs.scientificamerican.com/roots-of-unity/for-world-tessellation-day-remember-to-look-down/ https://mathstodon.xyz/media/4gtNoKasPO7YXhx2eso
@bstacey The struggle is real.
@jennytrustad Are you on Instagram? I post a lot of foundmath there, and I'm always excited to follow other foundmath finders!
#foundmath Encountered a sink (stable fixed point) on my apple this morning. :) https://mathstodon.xyz/media/CVnhRDdvMSlGsTPzxII
I just reread this transcript of Francis Su’s retiring MAA president address from January, “Mathematics for human flourishing.” It spoke to me even more this time than the first time I read it. He keeps coming back to this Simone Weil quote: “Every being cries out silently to be read differently.” I’m going to be thinking about that for a while. https://mathyawp.wordpress.com/2017/01/08/mathematics-for-human-flourishing/
@gammafunction I think instead of dollar signs you use \ ( and \ ) (without the spaces), but I'm sure @christianp and @ColinTheMathmo can say for sure how it works.
@j2kun @byorgey @ColinTheMathmo OK, I'm not finding 7 with ellipses, though I don't see anything saying it's impossible.
#proofinatoot The probability that a power of 2 starts with the digit d is $log(d+1) - log(d)$.
Observe that $2^n$ has first digit d if there is some non-negative integer k such that $d10^k \leq 2^n < (d+1)10^k$.
Applying the base 10 logarithm to this inequality, we get $log(d) + k \leq nlog(2) < log(d+1) + k$.
Taking the fractional part of this inequality, we get $log(d) \leq \{nlog(2)\} < log(d+1)$.
But by Weyl's Criterion, $\{nlog(2)\}$ is equidistributed in [0,1). The result follows.