Yet Another Amazing Tiling from Tiling Bot

Tiling Bot has been producing lots of amazing (and often gorgeous) tilings on Twitter. Today's is one of my favorites.

I strongly recommend looking through Tiling Bot's feed.

#Hyperbolic #tiling shown vertex-centered in the orthographic model. Truncated {3,12}. pic.twitter.com/tpsPWqOBOi

— Tiling Bot (@TilingBot) June 24, 2018

What Happens in Oxford Stays in Oxford

I arrived in Oxford last Sunday and will be here for a while, staying in Somerville and hanging out with my peeps (including some of my former students) from College as well as the Mathematical Institute. It's great to still be part of the extended family!

I'll also be participating and speaking at Howison-fest, a workshop in honor of Sam Howison's 60th birthday.

"FU" Stands for "Fundamental Unit"

Naturally, when I see "FU", the first term that comes to mind is "fundamental unit".

Remember: "FUs are biologically well defined".

This screenshot is from this new paper.

(Tip of the cap to Alex Vespignani.)

Ground Control to Major Tom: Perfect Photographic Timing

I approve!

Perfect timing. pic.twitter.com/4bVoqBHoH2

— You Had One Job (@_youhadonejob1) June 20, 2018

Poincaré Disk: Fantasy Edition

I love it!

A surface obtained by gluing six heptagons. Universal cover in the Poincaré model (the same character shown = the same point of the surface). Weapons to show that this is not orientable (it has Euler characteristic -1). Constructed by DivisionByZero [ https://t.co/zgD3J7pG4f ] pic.twitter.com/J1MzJKCkYl

— Zeno Rogue (@ZenoRogue) June 20, 2018

A Bulging Visual Illusion

This is a great visual illusion!

The image appears to bulge out, though it consists of squares aligned vertically and horizontally. pic.twitter.com/uwb0HJPyiw

— Akiyoshi Kitaoka (@AkiyoshiKitaoka) June 20, 2018

(Tip of the cap to Ben Orlin.)

Scholarship: Part of the Scientific Reward System

I may have been slightly snarky. :)

Also: scholarship ;)

— DynamicalSystemsSIAM (@DynamicsSIAM) June 20, 2018

Apple Seismology

Here is a cool 'Quick Study' about "apple seismology".

Quoting the article's lead: Just as an earthquake’s seismic waves reveal properties of Earth’s interior, elastic surface waves on an apple can tell us about what’s going on inside the fruit.

This research may be a contender for an Ig Nobel prize.

Update: Apple seismology was discussed originally in a 1973 mathematical modeling paper by J.R. Cooke and Richard Rand. (This paper is cited in the Physics Today article above.)

An Alternative to a Faculty Retreat

Instead of having a Faculty Retreat, why don't we have a Faculty Victory this time?

#justsaying

Hitting a Major League Home Run Before One's First Major League Home Run

"Yesterday's" home run by Juan Soto, in a game that was suspended May 15th and completed yesterday, will be part of a great trivia question in the future.

Quoting from the article to which I linked:

On Monday, the Washington Nationals rookie crushed a tiebreaking, pinch-hit, two-run homer against the New York Yankees in the continuation of a game that started May 15 — five days before his big league debut.

According to the Elias Sports Bureau, Soto's blast will not be considered his first major league homer, but it will be counted as a home run hit on May 15.

"Female Drosophila melanogaster Respond to Song-Amplitude Modulations"

One of my papers came out in final published form a few days ago. Here are some details. (Also see the paper's supplementary material for an interview with the first author, my former D.Phil. student Birgit Brüggemeier.)

Title: Female Drosophila melanogaster Respond to Song-Amplitude Modulations

Authors: Birgit Brüggemeier, Mason A. Porter, Jim O. Vigoreaux,and Stephen F. Goodwin

Abstract: Males in numerous animal species use mating songs to attract females and intimidate competitors. We demonstrate that modulations in song amplitude are behaviourally relevant in the fruit fly Drosophila. We show that Drosophila melanogaster females prefer amplitude modulations that are typical of melanogaster song over other modulations, which suggests that amplitude modulations are processed auditorily by D. melanogaster. Our work demonstrates that receivers can decode messages in amplitude modulations, complementing the recent finding that male flies actively control song amplitude. To describe amplitude modulations, we propose the concept of song amplitude structure (SAS) and discuss similarities and differences to amplitude modulation with distance (AMD).

Adrián Beltré Now has More Hits than All Other Non-US-Born Players

Adrián Beltré now has more MLB hits than any other non-US-born player who ever played the game!

He passed Ichiro in the game that ended a few hours ago.

What Happens in Paris Stays in Paris

I am at the airport. I'll be heading to Paris for NetSci 2018!

Excellent Notation for Predator–Prey Dynamics

I approve!

LaTeX is so much better when you have emoji. pic.twitter.com/SYxgUXpWYN

— Mike Bostock (@mbostock) June 2, 2018

(Tip of the cap to Karen Daniels.)

Triumphant Return of The Power Law Shop

I'm happy to announce the triumphant return of The Power Law Shop!https://t.co/1sgZacqhhv

Just in time for #netsci2018 (@netsci2018).

We're trying to fill a universal and critical need for scale-free swag.

— Mason Porter (@masonporter) June 3, 2018

Jack and Jill had Issues

Well, I just didn’t realise that Jack and Jill had so many mishaps as well as falling down the hill. Here are some, as recounted in this little 1806 chap book, just 212 years ago https://t.co/SnLDtBTCia pic.twitter.com/mBkro0bvmn

— Journal of Art in Society (@artinsociety) June 3, 2018

Mathematics is an Experimental Science

Yes!

'Mathematics is an experimental science, and definitions do not come first, but later on.' -- Oliver Heaviside

— Analysis Fact (@AnalysisFact) June 1, 2018

(Tip of the cap to Steve Strogatz.)

A Brief Celebration of #NationalDonutDay

In honor of #NationalDonutDay, which is apparently today.

Also with some #topologicalentropy

P.S. There is a day for everything. pic.twitter.com/3zze0exZJr

— Mason Porter (@masonporter) June 1, 2018

Tales from the ArXiv: "Calculating Spherical Harmonics Without Derivatives"

There is a new paper on the arXiv that apparently includes a new way of calculating spherical harmonics.

A part that some of you may find interesting is the pedagogical discussion at the beginning of Section 5, which starts: "Historically, there are five ways that spherical harmonics can be derived."

The one that is easiest (by far) for me to understand is the oldest method, which is by solving the differential equation. But I am mathematically inclined, and people with more physical intuition may prefer other methods.

(People who are more comfortable than I am with Lie manipulations may also prefer other approaches.)

Anyway, I appreciate the discussion in this paper.

"Can Multilayer Networks Advance Animal Behavior Research?"

The final version of a new paper of mine now has its final coordinates in a journal. Here are some details.

Title: Can Multilayer Networks Advance Animal Behavior Research?

Authors: Matthew J. Silk, Kelly R. Finn, Mason A. Porter, and Noa Pinter-Wollman

Abstract: Interactions among individual animals — and between these individuals and their environment — yield complex, multifaceted systems. The development of multilayer network analysis offers a promising new approach for studying animal social behavior and its relation to eco-evolutionary dynamics.