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Which shape is worst of all for packing the plane? That is, which has the lowest maximal packing density? Suppose we demand that our shape be convex and also centrally symmetric: that is, a subset $S \subseteq \mathbb{R}^2$ such that $x \in S$ implies $-x \in S$. Then a certain 'smoothed octagon' is conjectured to be the worst. Amazingly, this shape has a 1-parameter family of maximally dense packings, shown in this image created by Greg Egan.

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As the day began, members of our student GRIT team began entering classrooms, handing teachers bags of treats. At first glance, a bag of candy. But when you opened, you quickly realized it was more than expected. There were slips of paper included…handwritten notes from students. The Student GRIT team has copied and dispersed these […]

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I used Battleships and Mines as a review for systems. We tested our mine coordinates today in the front lobby. And then enjoyed the end of the week with the highlighters and blacklights.

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mindfuckmath:
Vampire Numbers
Do you vant to learn about vampire numbers? Vampire numbers are numbers of even length that can be factored into two integers of equal length, both of which are comprised of the digits from the original number, and neither of which contain trailing zeroes. The two integers are called the fangs. For example,
1260 = 21 x 60
1260 is the vampire number, 21 and 60 are its fangs.
1395 = 15 x 93
1395 is the vampire number, 15 and 93 are its fangs.
Vampire numbers
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I used to work on ships that were used to test undersea equipment. When we had visitors on the ship, we would put a Styrofoam cup on some of our test gear when lowered the equipment to our test depth. … Continue reading →

wpgaurav tweeted: @wpgaurav

The 10 Greatest Changes of the Past 1,000 Years http://t.co/eN5DwFi3YU http://t.co/8IkN4Hx3RP

2014-11-01 08:30:08

peterrowlett tweeted: @peterrowlett

This weekend, I'll be mostly: talking to people in the gaps between these talks http://t.co/XglvddeV5Q #MathsJam

2014-11-01 08:29:35

peterrowlett tweeted: @peterrowlett

Competition under one arm, #MathsJam notebook under the other, I'm on my way to the @MathsJam conference. https://t.co/71ufsPFdrb

2014-11-01 08:26:46

srcav tweeted: @srcav

RT @chemistrypoet: "@srcav: Great teaching leads to student progress http://t.co/lygVJxcn7k">review of important report.

2014-11-01 07:46:41

andrescaicedo tweeted: @andrescaicedo

Crossover. http://t.co/93ILOB4lJz

2014-11-01 07:42:31

michiexile tweeted: @michiexile

The Nightmare before Christmas as an allegory on the process of research? #whatdoesitmean

2014-11-01 07:41:45

MindAfterMath tweeted: @MindAfterMath

2014-11-01 07:35:36

wpgaurav tweeted: @wpgaurav

Refining the Dribbble Logo http://t.co/mQznKRmkoJ http://t.co/3qhY9Ow7jp

2014-11-01 07:30:14

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