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 session:us02web.zoom.us/meeting/regist…
@GlobalMathProj @MathCircleNet

Retweeted by Republic of Mathematics 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?"
bit.ly/3FnvIjF

An external approach to set theory by Frank Quinn
"... begins with a context much
larger than sets, and locates “relaxed” set theory inside this."
bit.ly/2YkUlfQ

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)]

Retweeted by Republic of Mathematics 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.
bit.ly/3BekgEw

COVID-19: measuring the impact on healthcare demand and
capacity and exploring intervention scenarios
bit.ly/3oqFQ5c

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?

Retweeted by Republic of Mathematics Not Another Computer Algebra System: Highlighting wxMaxima
in Calculus
bit.ly/3zXwEY3

A 4th-grade teacher asked if I could teach a lesson on prime numbers. I'm going to try!
Thanks to @MathforLove and @KlahnAmanda
docs.google.com/presentation/d…

Retweeted by Republic of Mathematics Calculating the shape of experimental data
bit.ly/39MAit2

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?

Retweeted by Republic of Mathematics Biography of Paul Erd˝os and discussion of his proof
of Bertrand’s Postulate
bit.ly/3oc9cUR

Rational approximation of irrational numbers
bit.ly/3EU3U6c

And GLOBAL MATH WEEK #gmw2021 is just two-and-a-half weeks away! Some first information about events and activities here: globalmathproject.org/events/ Folk from Spain, Indonesia, US, UK, Canada, Netherlands, Nepal, Colombia, Canada, Australia, and more have been signing up!

Retweeted by Republic of Mathematics Can you solve it? Russia’s Prime Minister sets a geometry puzzle
bit.ly/3hQ2mQZ

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. globalmathproject.org/events/ Woohoo!
@GlobalMathProj @maanow @AIMathCommunity @MathPlusAcademy

Retweeted by Republic of Mathematics Sign up for this free webinar on nonlocal minimal surfaces. Join the conversation on September 23rd! go.sn.pub/gkOnYw

Retweeted by Republic of Mathematics Dutch are world’s tallest people – but they’re shrinking, study shows
bit.ly/2Z0SNYB

Sigmoids behaving badly: why they usually cannot predict
the future as well as they seem to promise
bit.ly/2Xkhhvb

Suffering is realizing it's often exponential. twitter.com/JohnDCook/stat…

Disproof of a conjecture of Erdos and Simonovits on the Turan
number of graphs with minimum degree 3
bit.ly/3z8FPV9

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?]

Retweeted by Republic of Mathematics Multigraphs from crossword puzzle grid designs
bit.ly/3z4t26c

In this new @Students4BE blog, @Neuron_et_al provides an outline of multivariate analysis for beginners to this topic: buff.ly/3l7IlpH #statistics #statstwitter #stats

Retweeted by Republic of Mathematics 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?)

Retweeted by Republic of Mathematics Algebra: the maths working to solve the UK’s supply chain crisis
bit.ly/3A5bok9

Mathematically speaking, how smooth is smooth? quantamagazine.org/mathematicians…

Retweeted by Republic of Mathematics Incorporating Computational Challenges into a Multidisciplinary Course on Stochastic Processes
bit.ly/3l8ZK1q

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! twitter.com/mathjamborees/…

Retweeted by Republic of Mathematics Computational Discovery with Newton Fractals,Bohemian Matrices & Mandelbrot Polynomials
bit.ly/2VtZhxX

The human brain and mathematics: recent research and educational questions
bit.ly/38Iu78N

Exposition of the Cantor set and Cantor-Lebesgue functions
bit.ly/38BoXeQ

The chromatic number of the Minkowski plane - the regular polygon case.
bit.ly/3Dzok3W

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