Article by Schmidt, WM

In collection: Games to play with friends

URL: http://www.ams.org/journals/tran/1966-123-01/S0002-9947-1966-0195595-4/S0002-9947-1966-0195595-4.pdf

Entry: https://read.somethingorotherwhatever.com/entry/Schmidt1966

Article by Martin Erik Horn

In collections: Attention-grabbing titles, Fibonaccinalia

The three anti-commutative two-dimensional Pauli Pascal triangles can be generalized into multi-dimensional Pauli Pascal hyperpyramids. Fibonacci and Jacobsthal numbers are then generalized into Pauli Fibonacci numbers, Pauli Jacobsthal...

URL: http://arxiv.org/abs/0711.4030v1

PDF: http://arxiv.org/pdf/0711.4030v1

Entry: https://read.somethingorotherwhatever.com/entry/PauliPascalPyramidsPauliFibonacciNumbersandPauliJacobsthalNumbers

Article by Yoshinosuke Hirakawa and Hideki Matsumura

In collections: Easily explained, Fun maths facts, Geometry

A rational triangle is a triangle with sides of rational lengths. In this short note, we prove that there exists a unique pair of a rational right triangle and a rational isosceles triangle which have the same perimeter and the same area. In the proof, we determine...

URL: http://arxiv.org/abs/1809.09936v1

PDF: http://arxiv.org/pdf/1809.09936v1

Entry: https://read.somethingorotherwhatever.com/entry/Auniquepairoftriangles

Gergonne's Card Trick, Positional Notation, and Radix Sort

Article by Ethan D. Bolker

In collections: Easily explained, Fun maths facts

Gergonne's three pile card trick has been a favorite of mathematicians for nearly two centuries. This new exposition uses the radix sorting algorithm well known to computer scientists to explain why the trick works, and to explore generalizations. The...

URL: https://www.tandfonline.com/doi/abs/10.4169/002557010X479983

PDF: https://www.maa.org/sites/default/files/Bolker-MMz-201053228.pdf

Entry: https://read.somethingorotherwhatever.com/entry/GergonnesCardTrickPositionalNotationandRadixSort

Article by Mary Caswell Stoddard and Ee Hou Yong and Derya Akkaynak and Catherine Sheard and Joseph A. Tobias and L. Mahadevan

In collections: Animals, Food, Geometry, Modelling

Avian egg shape is generally explained as an adaptation to life history, yet we currently lack a global synthesis of how egg-shape differences arise and evolve. Here, we apply...

URL: http://science.sciencemag.org/content/356/6344/1249

PDF: http://science.sciencemag.org/content/356/6344/1249.full.pdf

Entry: https://read.somethingorotherwhatever.com/entry/AvianeggshapeFormfunctionandevolution

Article by Veronika Irvine and Frank Ruskey

In collections: Art, Geometry, Modelling

Bobbin lace is a fibre art form in which intricate and delicate patterns are created by braiding together many threads. An overview of how bobbin lace is made is presented and illustrated with a simple, traditional bookmark design. Research on the topology of textiles and...

URL: http://arxiv.org/abs/1406.1532v3

PDF: http://arxiv.org/pdf/1406.1532v3

Entry: https://read.somethingorotherwhatever.com/entry/DevelopingaMathematicalModelforBobbinLace

In collections: Basically computer science, Geometry

Inspired by freeform designs in architecture which involve circles and spheres, we introduce a new kind of triangle mesh whose faces’ incircles form a packing. As it turns out, such meshes have a rich geometry and allow us to cover surfaces with circle patterns, sphere packings, approximate circle packings,...

URL: http://dl.acm.org/citation.cfm?id=1618485

PDF: http://www.geometrie.tugraz.at/wallner/packing.pdf

Entry: https://read.somethingorotherwhatever.com/entry/item8

Article by Alpher, R. and Bethe, H. and Gamow, G.

In collection: Basically physics

URL: http://en.wikipedia.org/wiki/Alpher%E2%80%93Bethe%E2%80%93Gamow_paper

Entry: https://read.somethingorotherwhatever.com/entry/Alpher1948

Article by Hughes, Jesse

URL: http://phiwumbda.org/~jesse/slides/MuddyChildren.handouts.pdf

Entry: https://read.somethingorotherwhatever.com/entry/Hughes2007

Web page by

In collections: Basically physics, History, Things to make and do, Geometry

This project gathers all the mechanisms created by a great Russian mathematician Pafnuty Lvovich Tchebyshev (1821—1894). Some of them have been stored in museums: twenty are in the Polytechnical museum (Moscow), five are in the Museum of the History of Saint Petersburg State University, some are in The Musée des Arts...

URL: http://en.tcheb.ru/

Entry: https://read.somethingorotherwhatever.com/entry/MechanismsbyTchebyshev

Article by Andrew Granville

In collection: Attention-grabbing titles

URL: http://www.dms.umontreal.ca/~andrew/PDF/beeb.pdf

Entry: https://read.somethingorotherwhatever.com/entry/item6

Article by Chris K. Caldwell and Yeng Xiong

In collections: Easily explained, History, Notation and conventions, Integerology

What is the first prime? It seems that the number two should be the obvious answer, and today it is, but it was not always so. There were times when and mathematicians for whom the numbers one and three were acceptable answers. To find the first...

URL: http://arxiv.org/abs/1209.2007v2

PDF: http://arxiv.org/pdf/1209.2007v2

Entry: https://read.somethingorotherwhatever.com/entry/Whatisthesmallestprime

Article by Jeff Erickson and Gabriel Nivasch and Junyan Xu

In collection: Unusual arithmetic

Inspired by a mathematical riddle involving fuses, we define the "fusible numbers" as follows: \(0\) is fusible, and whenever \(x,y\) are fusible with \(|y-x|<1\), the number \((x+y+1)/2\) is also fusible. We prove that the set of fusible numbers, ordered by the usual order on...

URL: https://arxiv.org/abs/2003.14342v1

PDF: https://arxiv.org/pdf/2003.14342v1

Entry: https://read.somethingorotherwhatever.com/entry/FusiblenumbersandPeanoArithmetic

Article by J. Lambek and L. Moser

In collections: Fun maths facts, Integerology

In this note we use the method of generating functions to show that there is a unique way of splitting the non-negative integers into two classes in such a way that the sums of pairs of distinct integers will be the same (with same multiplicities) for both classes. We prove a...

URL: https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/on-some-two-way-classifications-of-integers/C36087ADE965C59BE843D73B9FA11A87#

PDF: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C36087ADE965C59BE843D73B9FA11A87/S0008439559051116a.pdf/div-class-title-on-some-two-way-classifications-of-integers-div.pdf

Entry: https://read.somethingorotherwhatever.com/entry/OnSometwowayClassificationsofIntegers

Article by Plagge, Richard

In collections: Notation and conventions, Unusual arithmetic, Easily explained

URL: https://www.maa.org/sites/default/files/pdf/upload_library/22/Polya/00494925.di020680.02p0417i.pdf

Entry: https://read.somethingorotherwhatever.com/entry/Plagge1978

Article by Martin, Greg

In collections: Easily explained, Fun maths facts

An Egyptian fraction is a sum of distinct unit fractions (reciprocals of positive integers). We show that every rational number has Egyptian fraction representations where the number of terms is of the same order of magnitude as the largest denominator, improving a result from an earlier paper to...

URL: http://arxiv.org/abs/math/9811112

PDF: http://arxiv.org/pdf/math/9811112v1

Entry: https://read.somethingorotherwhatever.com/entry/Martin1998

Article by Shirley B. Gray and Stewart Venit and Russ Abbott

In collections: Lists and catalogues, Geometry

The National Curve Bank is a resource for students of mathematics. We strive to provide features - for example, animation and interaction - that a printed page cannot offer. We also include geometrical, algebraic, and historical aspects of curves, the kinds of attributes that make the mathematics special...

URL: http://web.calstatela.edu/curvebank/home/home.htm

Entry: https://read.somethingorotherwhatever.com/entry/NationalCurveBank

Article by Quisquater, JJ and Quisquater, M

In collections: Attention-grabbing titles, Easily explained, Protocols and strategies

URL: https://link.springer.com/chapter/10.1007/0-387-34805-0_60

PDF: http://pages.cs.wisc.edu/~mkowalcz/628.pdf

Entry: https://read.somethingorotherwhatever.com/entry/Quisquater

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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