Take and Make: Icosahedron from Golden Rectangles

Josephine ShengMaking Math, Math at Home, Sharing Ideas, Take and Make, We think math is fun!, Zoom Friendly1 Comment

We were inspired by a post on Twitter by Olivier Longuet shown below. The object in the photo is an icosahedron, a 20-sided 3D shape, made out of three golden rectangles with side lengths that obey the golden ratio (1:1.618033…). To make a cardboard version of the icosahedron, print out this document and follow the instructions! You can also make

Take and Make: Making a Pool Test Apparatus

Lauren SiegelMaking Math, Sharing Ideas, Take and Make, Teacher Support & Training, Ways to like math, We think math is fun!, Zoom FriendlyLeave a Comment

You don’t need robots and computers, just a system and apparatus to organize the steps! This model is based on the results alluded too but not completely explained by an Israeli company in the recent NY Times article by David Halbfinger on creative pool testing options.   https://www.nytimes.com/2020/08/21/health/fast-coronavirus-testing-israel.html Trying to come up with one of these is a great activity for

Take and Make: Parallel Ruler and Compass Rose

Lauren SiegelConference Presentations, Making Math, Museum, Take and Make, We think math is fun!Leave a Comment

In 2019, we brought our suite of Navigation Math to New York to share how we relate math to Texas History and the voyage of La Belle which is on exhibit at the Texas State History Museum.  Files to make our version of the Parallel Ruler are here.     Files to make our version of the Compass Rose are here. Participants

Take and Make: Proof without Words Sum of Odd Numbers – Freese Transformation

Lauren SiegelMaking Math, Mathematical Artifacts, Sharing Ideas, Take and Make, We think math is fun!Leave a Comment

This Geometric Transformation  shows how the sum of the first 6 consecutive odd numbers is the square of 6, or 36.  It’s the classic “proof without words”.  Freese’s Transformation also shows this relationship, but his “squares” have sides sqrt 1, sqrt 3, sqrt 5, and so on. Freese Corel File, Adobe Illustrator File, Jpg printable  

Take and Make: Experimental Mathematics Cucumber Edition

Lauren SiegelMaking Math, Mathematical Artifacts, Sharing Ideas, Take and Make, Ways to like math, We think math is fun!Leave a Comment

Here’s a fun one!  Inspired by a conversation with Chris Daniels of Public Math. He said roll paper around a cylinder and cut on an angle to get an ellipse and produce a sine wave.  So we did!  And you can too.  Then you can make a roller from ellipses, reflect your sine curve and roll the elliptical roller along

Take and Make: Freese Transformation 178

Lauren SiegelWe think math is fun!1 Comment

This design is from a lost manuscript of Ernest Irving Freese found by Greg Frederickson and published in his 2018 book “Ernest Irving Freese’s Geometric Transformations: The Man, the Manuscript, the Magnificent Dissections” Frederickson mentions Freese’s manuscript in the bibliography of his 1997 book, “Dissections: Plane & Fancy, and included selections from it in a 5-part series of short chapters spread