Wolfram Computation Meets Knowledge

Current Events & History

Drawing on Autopilot: Automated Plane (Geometry) Illustrations from The American Mathematical Monthly

Version 12 of the Wolfram Language introduces the functions GeometricScene, RandomInstance and FindGeometricConjectures for representing, drawing and reasoning about problems in plane geometry. In particular, abstract scene descriptions can be automatically supplied with coordinate values to produce diagrams satisfying the conditions of the scene. Let’s apply this functionality to some of the articles and problems about geometry appearing in the issues of The American Mathematical Monthly from February and March of 2019.

Best of Blog

Why Wolfram Tech Isn’t Open Source—A Dozen Reasons

Over the years, I have been asked many times about my opinions on free and open-source software. Sometimes the questions are driven by comparison to some promising or newly fashionable open-source project, sometimes by comparison to a stagnating open-source project and sometimes by the belief that Wolfram technology would be better if it were open source.

At the risk of provoking the fundamentalist end of the open-source community, I thought I would share some of my views in this blog. While there are counterexamples to most of what I have to say, not every point applies to every project, and I am somewhat glossing over the different kinds of “free” and “open,” I hope I have crystallized some key points.
Current Events & History

Computing Exact Uncertainties—Physical Constants in the Current and in the New SI

Introduction

In the so-called "new SI," the updated version of the International System of Units that will define the seven base units (second, meter, kilogram, ampere, kelvin, mole and candela) and that goes into effect May 20 of 2019, all SI units will be definitionally based on exact values of fundamental constants of physics. And as a result, all the named units of the SI (newton, volt, ohm, pascal, etc.) will ultimately be expressible through fundamental constants. (Finally, fundamental physics will be literally ruling our daily life 😁.)

Here is how things will change from the evening of Monday, May 20, to the morning of Tuesday, May 21, of this year.

Computation & Analysis

Peppa Pig, Tracking Meteorite Trajectory and Computational Linguistics: Wolfram Community Highlights

Over the past 16 weeks, Wolfram Community has gained over 1,000 new members—surpassing 21,000 members total! We’ve also seen more activity, with 800,000 pageviews and 160,000 new readers in that time period. We enjoy seeing the interesting and unique projects Wolfram Language users come up with and are excited to share some of the posts that make Wolfram Community a favorite platform for sharing, socializing and networking.
Computation & Analysis

3D Printing “Spikey” Commemorative Coins with the Wolfram Language

I approached my friend Frederick Wu and suggested that we should make a physical Wolfram Spikey Coin (not to be confused with a Wolfram Blockchain Token!) for the celebration of the 30th anniversary of Mathematica. Frederick is a long-term Mathematica user and coin collector, and together, we challenged ourselves to design our own commemorative coin for such a special event.

The iconic Spikey is a life-long companion of Mathematica, coined (no pun intended) in 1988 with the release of Version 1. Now, we’ve reached a time in which Wolfram technologies and different 3D printing processes happily marry together to make this project possible!
Education & Academic

Shattering the Plane with Twelve New Substitution Tilings Using 2, φ, ψ, χ, ρ

Similar Triangle Dissections

Version 12 of the Wolfram Language introduces solvers for geometry problems. The documentation for the new function GeometricScene has a neat example showing the following piece of code, with GeometricAssertion calling for seven similar triangles:

[Wolfram_Notebook_Download]
&#10005 o=Sequence[Opacity[.9],EdgeForm[Black]];plasticDissection=RandomInstance[GeometricScene[{a,b,c,d,e,f,g},{ a=={1,0},e=={0,0},Line[{a,e,d,c}], p0==Polygon[{a,b,c}], p1==Style[Polygon[{b,d,c}],Orange,o], p2==Style[Polygon[{d,f,e}],Yellow,o], p3==Style[Polygon[{b,f,d}],Blue,o], p4==Style[Polygon[{g,f,b}],Green,o], p5==Style[Polygon[{e,g,f}],Magenta,o], p6==Style[Polygon[{a,e,g}],Purple,o], GeometricAssertion[{p0,p1,p2,p3,p4,p5,p6},"Similar"]}],RandomSeeding->28]
Computation & Analysis

Computing in 128 Characters: Winners of the 2018 Wolfram Employees One-Liner Competition

Every year at the Wolfram Technology Conference, attendees take part in the One-Liner Competition, a contest to see who can do the most astounding things with 128 characters of Wolfram Language code. Wolfram employees are not allowed to compete out of fairness to our conference visitors, but nevertheless every year I get submissions and requests to submit from my colleagues that I have to reject. To provide an outlet for their eagerness to show how cool the software is that they develop, this year we organized the first internal One-Liner Competition.

We awarded first-, second- and third-place prizes as well as six honorable mentions and one dishonorable mention. And the winners are...
Computation & Analysis

Let’s Tango: Computational Musicology Using Wikidata, MusicBrainz and the Wolfram Language

Imagine you could import any website to obtain meaningful data for further processing, like creating a diagram, highlighting places on a map or integrating with other data sources. What if you could query data on the web knowing only one simple query language? That’s the vision of the semantic web. The semantic web is based on standards like the Resource Description Framework (RDF) and SPARQL (a query language for RDF). The upcoming release of Version 12 of the Wolfram Language introduces experimental support for interacting with the semantic web: you will be able to Import and Export a variety of RDF data formats as well as query remote SPARQL endpoints and in-memory data using either a query string or a symbolic representation of SPARQL.

Education & Academic

The Data Science of MathOverflow

New Archive Conversion Utility in Version 12

Soon there will be 100,000 questions on MathOverflow.net, a question-and-answer site for professional mathematicians! To celebrate this event, I have been working on a Wolfram Language utility package to convert archives of Stack Exchange network websites into Wolfram Language entity stores.

The archives are hosted on the Internet Archive and are updated every few months. The package, although not yet publicly available, will be released in the coming weeks as part of Version 12 of the Wolfram Language—so keep watching this space for more news about the release!