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A puzzle. Circle radius R, six points on circumference, with |AB|=|CD|=|EF|=R. Show that the midpoints of BC, DE, and FA form an equilateral triangle -
Sketch a diagram and try it.
How would you prove it?
TIL: 1. @FrontYoungMinds is a wonderful kid-reviewed science journal 2. their maths team are looking for contributors:
I've written a new library to convert AsciiMath to TeX: https://github.com/christianp/asciimath2tex
There's an 'official' asciimath to tex JS file at https://github.com/asciimath/asciimathml/blob/master/asciimath-based/ASCIIMathTeXImg.js but it doesn't seem to do matrices, and is written in v old JS.
This is to use with a customised StackEdit for a student with reduced mobility, so we prefer AsciiMath to TeX.
StackEdit uses KaTeX for its maths rendering, so I couldn't render MathML.
A new horror: a parser for a regular language written by someone who apparently didn't know about regular expressions
If you have a mastodon.social account but have moved over to a different server, you can login to your old account and, under edit profile, setup a profile redirect note.
I was surprised to find out that someone who works in mathematics doesn't know what the OEIS is. If you've never been to that treasure trove of mathematical lore, do yourself a favour and stroll over there with a small sample of positive integers and see what you'll find. This can even work if you write code and start seeing positive integers popping up!
400. THE MAGIC STRIPS. I happened to have lying on my table a number of strips of cardboard,
with numbers printed on them from 1 upwards in numerical order. The idea suddenly came to me, as ideas have a way of unexpectedly coming, to make a little puzzle of this. I wonder whether many readers will arrive at the same solution that I did.
Take seven strips of cardboard and lay them together as above. Then write on each of them the numbers 1, 2, 3, 4, 5, 6, 7, as shown, so that (1/3)
The urinal problem
Article by Kranakis, Evangelos and Krizanc, Danny
In collections: Puzzles, Easily explained
you code sixteen tons, and what do you get? / another day deeper in technical debt
Has anyone used "Problem Solving Through Recreational Mathematics" with undergrad students?
Everyone knows you can't trisect an arbitrary angle with just a compass.
Underwood Dudley wrote the famous essay "What To Do When The Trisector Comes" to help you fend off those who insist otherwise.
Mathographics by Robert Dixon is a lovely book, containing all sorts of drawings created with compass and straightedge (and some computer stuff at the back)