Republic of Mathematics

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Oh what a line-up of top folk across the globe sharing the math joy during Global Math Week #gmw2021. A thrill to have award-winning math pro Erik van Haren speak on the very topic of...math joy! Direct link to his… @GlobalMathProj @MathCircleNet
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The last chapter of the Disquisitiones of Gauss "...what did Gauss claim & actually prove concerning the roots of unity & the construction of a regular polygon with a given number of sides?"
An external approach to set theory by Frank Quinn "... begins with a context much larger than sets, and locates “relaxed” set theory inside this."
Inspired by the pictures of stacked unit squares, for any real number x define x^□ = x·x and x^Δ = x(x+1)/2. Every equation x^□=a has 2 solutions (two square roots). What are the solutions to x^Δ=a. Two of them? [Generalise for other polygonal numbers: Pk(N)=T(N)+(k-3)T(N-1)]
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A small polygon is a polygon of unit diameter. The maximal width of an equilateral small polygon with n = 2^s vertices is not known when s ≥ 3. This paper solves the first open case and finds the optimal equilateral small octagon.
COVID-19: measuring the impact on healthcare demand and capacity and exploring intervention scenarios
The oblong numbers 0, 2, 6, 12, 20, 30, ... are numbers of the form a(a+1). Every even number is the difference of two consecutive oblong numbers. Which numbers are the difference of two non-consecutive oblong numbers?
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Not Another Computer Algebra System: Highlighting wxMaxima in Calculus
The Moessner Miracle from Mathologer
A 4th-grade teacher asked if I could teach a lesson on prime numbers. I'm going to try! Thanks to @MathforLove and @KlahnAmanda…
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Calculating the shape of experimental data
For which N can one draw a a diagram of green and yellow dots like these (a rectangle of dots with the outer single-layer border of dots green, the inner ones yellow) such that the count of inner yellow dots is 1/N the count of green border dots?
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Biography of Paul Erd˝os and discussion of his proof of Bertrand’s Postulate
Rational approximation of irrational numbers
And GLOBAL MATH WEEK #gmw2021 is just two-and-a-half weeks away! Some first information about events and activities here: Folk from Spain, Indonesia, US, UK, Canada, Netherlands, Nepal, Colombia, Canada, Australia, and more have been signing up!
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Can you solve it? Russia’s Prime Minister sets a geometry puzzle
Global Math Week starts 3 weeks from today! Our #gmw2021 landing page will be up and running soon, but for now, see (and register for) some events posted here. Woohoo! @GlobalMathProj @maanow @AIMathCommunity @MathPlusAcademy
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Sign up for this free webinar on nonlocal minimal surfaces. Join the conversation on September 23rd!
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Dutch are world’s tallest people – but they’re shrinking, study shows
Sigmoids behaving badly: why they usually cannot predict the future as well as they seem to promise
Suffering is realizing it's often exponential.…
Disproof of a conjecture of Erdos and Simonovits on the Turan number of graphs with minimum degree 3
Call a number "1-biased" if there are at least as many 1s as 0s in it its binary representation. The 1-biased numbers are 1,2,3,5,6,7,9,10,11,... What's the fiftieth one? [The sequence of "strictly 1-biased" numbers (more 1s than 0s) begins 1, 3,5,6,7,11,.... The fiftieth?]
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Multigraphs from crossword puzzle grid designs
In this new @Students4BE blog, @Neuron_et_al provides an outline of multivariate analysis for beginners to this topic: #statistics #statstwitter #stats
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Pick two squares at random in a 3x3 grid of squares. What is the probability you could walk of path of horizontal and vertical steps that starts at one chosen cell, ends at the other, and passes through each and every cell exactly once? (4x4 grid? NxN grid?)
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Algebra: the maths working to solve the UK’s supply chain crisis
Incorporating Computational Challenges into a Multidisciplinary Course on Stochastic Processes
A teaser for this coming jamboree w/ @jamestanton: One has to bend a straight piece of wire if one wants to use it to make a polygon. Is it possible to measure the total "bendiness" of a polygon? Which of these two hexagons seems most "bent" to you? Come join the exploration!…
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Computational Discovery with Newton Fractals,Bohemian Matrices & Mandelbrot Polynomials
The human brain and mathematics: recent research and educational questions
Exposition of the Cantor set and Cantor-Lebesgue functions
The chromatic number of the Minkowski plane - the regular polygon case.
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