## SMALL Projects 2023

SMALL 2023 GROUPS The following is a list of projects for 2023; check back later as more may be added.  Please email the director ([email protected]) with questions. The groups are Chip-Firing Games on Graphs, Commutative Algebra: Interactions with Logic (Jenna Zomback, Williams and Austyn Simpson, Michigan), Commutative… Continue reading »

## Visualizing Irrationality

A student recently shared the following:  https://www.youtube.com/watch?v=yk6wbvNPZW0&feature=youtu.be This includes some work I did with a student, David Montague, a few years back in SMALL. The animation is terrific; my favorite example is our proof of the irrationality of sqrt(5) (starts at 9 minutes). The paper is here:… Continue reading »

## Blended Upper Level Math Classes

In September 2016, a team of mathematics faculty, technologists and instructional designers from six leading liberal arts colleges (LACOL member schools Amherst, Haverford, Pomona, Swarthmore, Vassar and Williams) are launching a new collaboration to explore blended course sharing for select topics in advanced mathematics. The goal of the project is… Continue reading »

## Learning the Cube

I’ve had a lot of fun with some cubing events recently in Williamstown. The first was an official cube event organized by local student Ric Donati. For results see https://www.worldcubeassociation.org/results/c.php?top3=Top+3&competitionId=WilliamsWinter2016 http://cubecomps.com/live.php?cid=1377 The second was earlier today, a cube workshop run by myself and my son, Cameron, at… Continue reading »

This is a sequel to an earlier post: To bead, or not to bead. In that post my daughter Kayla and I did a fuse bead picture of the Fibonacci spiral, and we talked about how it can be used to give a geometric proof to the sum of… Continue reading »

## Lego Brickumentary at Images: Aug 8 and 9

AFTER IMAGES — A LEGO BRICKUMENTARY: Steven J. Miller, Associate Professor of Mathematics and instructor of The Mathematics of LEGO Bricks, will join Images Cinema Executive Director Doug Jones in a post-screening discussion about the creative possibilities of LEGOs following screenings of the family-friendly A LEGO Brickumentary on… Continue reading »

## May the Fourth be with you…….

For the past two winter studies I’ve taught a course on the Mathematics of LEGO bricks, with a goal of assembling a team to assemble the 3152 piece Superstar destroyer  in under 10 minutes (we just missed by a few seconds the first year, and did it in under… Continue reading »