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: http://www.springerlink.com/content/319pwfjg26d8xl6g/

Entry: http://read.somethingorotherwhatever.com/entry/Elsholtz2002

Article by H. L. Abbott and P. Erdős and D. Hanson

In collection: Integerology

URL: http://www.jstor.org/stable/2319526?seq=4#page_scan_tab_contents

Entry: http://read.somethingorotherwhatever.com/entry/item55

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: http://arxiv.org/abs/1406.1781v2

PDF: http://arxiv.org/pdf/1406.1781v2

Entry: http://read.somethingorotherwhatever.com/entry/RenyisParkingProblemRevisited

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: http://cstaecker.fairfield.edu/~cstaecker/machines/longimeter.html

PDF: http://cstaecker.fairfield.edu/~cstaecker/machines/longimeter%20mm.pdf

Entry: http://read.somethingorotherwhatever.com/entry/SteinhausLongimeter

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: http://arxiv.org/abs/1202.3033

PDF: http://arxiv.org/pdf/1202.3033v1

Entry: http://read.somethingorotherwhatever.com/entry/Bartholdi2012

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: http://www.springerlink.com/content/uh466q5p3722n37l/

Entry: http://read.somethingorotherwhatever.com/entry/Ball2009

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: http://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/nearmiss.htm

Entry: http://read.somethingorotherwhatever.com/entry/NearMissPolyhedra

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: http://dx.plos.org/10.1371/journal.pone.0059103

Entry: http://read.somethingorotherwhatever.com/entry/Sauerland2013

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: http://www.kuropka.net/files/TVSM.pdf

Entry: http://read.somethingorotherwhatever.com/entry/Becker2003

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: http://web.maths.unsw.edu.au/~jds/Papers/linalg.pdf

Entry: http://read.somethingorotherwhatever.com/entry/SettingLinearAlgebraProblems

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: http://arxiv.org/abs/1702.01027v1

PDF: http://arxiv.org/pdf/1702.01027v1

Entry: http://read.somethingorotherwhatever.com/entry/RandomTrianglesandPolygonsinthePlane

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: http://arxiv.org/abs/1607.02994v1

PDF: http://arxiv.org/pdf/1607.02994v1

Entry: http://read.somethingorotherwhatever.com/entry/BadgroupsinthesenseofCherlin

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: https://math.dartmouth.edu/~pw/solutions.pdf

Entry: http://read.somethingorotherwhatever.com/entry/WinklerSevenPuzzles

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: http://martin.von-gagern.net/publications/2014-phd/

PDF: http://mediatum.ub.tum.de/doc/1210572/document.pdf

Entry: http://read.somethingorotherwhatever.com/entry/CreationofHyperbolicOrnaments

Article by Lang, Robert J

In collection: Things to make and do

URL: http://www.langorigami.com/files/articles/Polypolyhedra_part_1.pdf

Entry: http://read.somethingorotherwhatever.com/entry/Lang2000

Article by Fisher, GL and Mellor, B.

In collections: Easily explained, Things to make and do

URL: http://www.tandfonline.com/doi/abs/10.1080/17513470701416264

PDF: http://myweb.lmu.edu/bmellor/beadedbeads.pdf

Entry: http://read.somethingorotherwhatever.com/entry/Fisher2007

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: https://www.evl.uic.edu/cavern/rg/20040525_renambot/Visualization-papers/papers/03/01250354.pdf

Entry: http://read.somethingorotherwhatever.com/entry/CountingCasesInMarchingCubes

Article by Galperin, G

In collections: Easily explained, Fun maths facts

URL: http://www.turpion.org/php/reference.phtml?journal_id=rd&paper_id=252

Entry: http://read.somethingorotherwhatever.com/entry/Galperin2003

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: http://www.mi.sanu.ac.rs/vismath/miyadera2013/index.html

Entry: http://read.somethingorotherwhatever.com/entry/ChocolategamesthatsatisfytheinequalityforandGrundynumbers

Article by Christian Greiffenhagen

In collection: The act of doing maths

Sociology has been accused of neglecting the importance of...

URL: https://dspace.lboro.ac.uk/dspace-jspui/handle/2134/14295

PDF: https://dspace.lboro.ac.uk/dspace-jspui/bitstream/2134/14295/3/greiffenhagen-materiality_20120511.pdf

Entry: http://read.somethingorotherwhatever.com/entry/Thematerialityofmathematicspresentingmathematicsattheblackboard

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- @christianp

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@christianp's collection of interesting and unusual maths references.

Posts one interesting reference a day.

http://read.somethingorotherwhatever.com

Joined Apr 2017