The liouville-heath-brown-zagier proof of the two squares theorem and generalizations
In collections: About proof, Fun maths facts
Heath-Brown [6] suggested a short proof of the two squares theorem, thereby simplifying ideas of Liouville. Zagier [15] suggested a particularly neat form of this, a "One sentence proof". It consists of two suitable involutions on the...
URL: springerlink.com/content/319pw
Entry: read.somethingorotherwhatever.

On the Number of Times an Integer Occurs as a Binomial Coefficient
Article by H. L. Abbott and P. Erdős and D. Hanson
In collection: Integerology
URL: jstor.org/stable/2319526?seq=4
Entry: read.somethingorotherwhatever.

Renyi's Parking Problem Revisited
Article by Matthew P. Clay and Nandor J. Simanyi
In collection: Easily explained
R\'enyi's parking problem (or \(1D\) sequential interval packing problem) dates back to 1958, when R\'enyi studied the following random process: Consider an interval \(I\) of length \(x\), and sequentially and randomly...
URL: arxiv.org/abs/1406.1781v2
PDF: arxiv.org/pdf/1406.1781v2
Entry: read.somethingorotherwhatever.

Steinhaus Longimeter
Web page by Chris Staecker
In collections: Easily explained, Things to make and do
The longimeter, invented by Hugo Steinhaus, is a device for measuring the length of a curve drawn on paper. It's a strange grid on transparency that is laid over the...
URL: cstaecker.fairfield.edu/~cstae
PDF: cstaecker.fairfield.edu/~cstae
Entry: read.somethingorotherwhatever.

Orange Peels and Fresnel Integrals
Article by Bartholdi, Laurent and Henriques, André G.
In collections: Attention-grabbing titles, Easily explained, Things to make and do, Food, Geometry, Fun maths facts
There are two standard ways of peeling an orange: either cut the skin along meridians, or cut it along a spiral. We consider here the second...
URL: arxiv.org/abs/1202.3033
PDF: arxiv.org/pdf/1202.3033v1
Entry: read.somethingorotherwhatever.

Scholarly communication in transition: The use of question marks in the titles of scientific articles in medicine, life sciences and physics 1966–2005
Article by Ball, Rafael
In collections: History, The act of doing maths
The titles of scientific articles have a special significance. We examined nearly 20 million scientific articles and recorded the development of...
URL: springerlink.com/content/uh466
Entry: read.somethingorotherwhatever.

Near Miss Polyhedra
Web page by Jim McNeill
In collections: The act of doing maths, Geometry
The polyhedra on this page are not quite regular, but as they are close I present them here as 'near misses'.
URL: orchidpalms.com/polyhedra/acro
Entry: read.somethingorotherwhatever.

Familial sinistrals avoid exact numbers.
Article by Sauerland, Uli and Gotzner, Nicole
In collections: Easily explained, Probability and statistics
We report data from an internet questionnaire of sixty number trivia. Participants were asked for the number of cups in their house, the number of cities they know and 58 other quantities. We compare the answers of familial...
URL: dx.plos.org/10.1371/journal.po
Entry: read.somethingorotherwhatever.

Topic-based vector space model
Article by Jörg Becker and Dominik Kuropka
In collection: Basically computer science
This paper motivates and presents the Topic-based Vector Space Model (TVSM), a new vector-based approach for document comparison. The approach does not assume independence between terms and it is flexible regarding the specification of term-similarities. Stop-word-list,...
URL: kuropka.net/files/TVSM.pdf
Entry: read.somethingorotherwhatever.

Setting linear algebra problems
Article by John D. Steele
In collection: Education
In this report I collect together some of the techniques I have evolved for setting linear algebra problems, with particular attention paid towards ensuring relatively easy arithmetic. Some are given as MAPLE routines.
URL: web.maths.unsw.edu.au/~jds/Pap
Entry: read.somethingorotherwhatever.

Random Triangles and Polygons in the Plane
Article by Jason Cantarella and Tom Needham and Clayton Shonkwiler and Gavin Stewart
In collections: Probability and statistics, Geometry
We consider the problem of finding the probability that a random triangle is obtuse, which was first raised by Lewis Caroll. Our investigation...
URL: arxiv.org/abs/1702.01027v1
PDF: arxiv.org/pdf/1702.01027v1
Entry: read.somethingorotherwhatever.

Bad groups in the sense of Cherlin
Article by Olivier Frécon
In collection: Attention-grabbing titles
There exists no bad group (in the sense of Gregory Cherlin), namely any simple group of Morley rank 3 is isomorphic to \(\mathrm{PSL_2}(K)\) for an algebraically closed field \(K\).
URL: arxiv.org/abs/1607.02994v1
PDF: arxiv.org/pdf/1607.02994v1
Entry: read.somethingorotherwhatever.

Seven Puzzles You Think You Must Not Have Heard Correctly
Article by Peter Winkler
In collections: Attention-grabbing titles, Puzzles
A typical mathematical puzzle sounds tricky but solvable — if not by you, then perhaps by the genius down the hall. But sometimes the task at hand is so obviously impossible that you are moved to ask whether you understood the problem...
URL: math.dartmouth.edu/~pw/solutio
Entry: read.somethingorotherwhatever.

New entry!
Creation of Hyperbolic Ornaments
Article by Martin von Gagern
In collections: Art, Basically computer science, Geometry
Hyperbolic ornaments are pictures which are invariant under a discrete symmetry group of isometric transformations of the hyperbolic plane. They are the hyperbolic...
URL: martin.von-gagern.net/publicat
PDF: mediatum.ub.tum.de/doc/1210572
Entry: read.somethingorotherwhatever.

Three-dimensional finite point groups and the symmetry of beaded beads
Article by Fisher, GL and Mellor, B.
In collections: Easily explained, Things to make and do
URL: tandfonline.com/doi/abs/10.108
PDF: myweb.lmu.edu/bmellor/beadedbe
Entry: read.somethingorotherwhatever.

Counting Cases in Marching Cubes: Towards a Generic Algorithm for Producing Substitopes
Article by David C. Banks and Stephen Linton
In collection: Basically computer science
We describe how to count the cases that arise in a family of visualization techniques, including marching cubes, sweeping simplices,...
URL: evl.uic.edu/cavern/rg/20040525
Entry: read.somethingorotherwhatever.

Playing pool with \(\pi\) (the number \(\pi\) from a billiard point of view)
Article by Galperin, G
In collections: Easily explained, Fun maths facts
URL: turpion.org/php/reference.phtm
Entry: read.somethingorotherwhatever.

Chocolate games that satisfy the inequality \(y \leq \left \lfloor \frac{z}{k} \right\rfloor\) for \(k=1,2\) and Grundy numbers
Article by Shunsuke Nakamura and Ryo Hanafusa and Wataru Ogasa and Takeru Kitagawa and Ryohei Miyadera
In collections: Attention-grabbing titles, Food, Games to play with friends
We study...
URL: mi.sanu.ac.rs/vismath/miyadera
Entry: read.somethingorotherwhatever.

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Mathstodon

A Mastodon instance for maths people. The kind of people who make \(\pi z^2 \times a\) jokes.

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