## Monday, December 14, 2020

### Active Learning at a Distance - A Poster by Taylor Fountain

Learning Assistant Taylor Fountain gave the following poster about working with students in the course Mathematics Through 3D Printing. This was part of the STEM Accelerator Poster Session on December 7, 2020.

Click on the image below to see the poster at  full size.

## Thursday, November 19, 2020

### Chaotic Attractors Fall 2020

Here are chaotic attractors created by students in Mathematics Through 3D Printing Fall 2020.

## Wednesday, November 18, 2020

### Boys Surface

This Boys surface is a demonstration piece for how to avoid orientability problems when trying to create 3D prints of non-orientable surfaces. Instead of spending a lot of time fixing your normals on your STL file, just make it a mesh -- which also allows you to see the interesting internal geometries.

## Tuesday, November 17, 2020

### AMS Notices Article

The article Modeling Dynamical Systems for 3D Printing by Stephen K. Lucas, Evelyn Sander, and Laura Taalman by the cover of the  December 2020 issue of the AMS Notices. If you've ever wanted to print your very own chaotic attractor, check this out for instructions.

## Monday, November 16, 2020

### Iterated Function Systems Fall 2020

Iterated function systems are formed by iterating multi-valued affine maps of the plane or three dimensional space. These are created by students from Mathematics Through 3D Printing Fall 2020.

 Iterated function systems in the plane exhibiting 5- and 6-fold symmetries

 The initial condition has maximum height, and the subsequent iterates are shorter and shorter.

 Iterates of the iterated function system appear like buildings in a cityscape - in fact IFS are often used for simulation of natural landscapes

 Starting at with the bottom disk, each subsequent height is a new iterate

 Four-fold symmetry

 Sierpinsky structure

## Saturday, November 14, 2020

### Partial Derivatives But Not Differentiable

This object was created this year by a student from last year's Mathematics Through 3D Printing (2019). It is the graph of a function with partial derivatives in both directions but which is not differentiable.

## Thursday, November 12, 2020

### Mathematics Through 3D Printing

Mathematics Through 3D Printing Fall 2020 -  Forgotten keys resulted in an outdoor class time. Lucky it was a beautiful day with a pile of newly printed objects.