Nicholas Owad

Research

Research papers

Combinatorial neural codes of mouse visual cortical areas - With T. Burns* and F. Castellano-Macias*, in progress.
Snail links and fiberedness - With M. Hirasawa, in progress.
Large volume links - With J. Purcell, in progress.
Patterns in knot types - With H. Chapman, in progress.
Tunnel numbers of all 11 and 12 crossing alternating knots - With F. Castellano-Macias*, Involve, 2022.
Random meander model for links - With A. Tsvietkova, Submitted. Zeilberger's Algorithm Maple file.
Families of not perfectly straight knots - Journal of Knot Theory and Its Ramifications. 2019
Straight Knots - 2018
Bridge spectra of cables of 2-bridge knots - Journal of Knot Theory and Its Ramifications. 2018
Stair-step bridge spectra does not imply high distance - This was replaced by the above article.

* - Student

Selected Research talks

Bridge spectra of cables of 2-bridge knots given at: Iowa Topology Seminar, Spring 2016

3D Printing

Selected 3D printing talks

3D printing for Topology given at: Advances in Quantum and Low Dimensional Topology, Spring 2016 - In this PDF is a guide for people who would like to get into 3D modeling and printing.
Exploring Visualizations given at: MathFest, Washington D.C., Summer 2015 - In this PDF is information for people who would like to teach a workshop on 3D modeling and printing, based on my own experiences.

3D printing files

The files in this section are all of my own design, and almost entirely done in Rhino 3D on a mac. Please visit my shapeways store if you would like to order a model and have it shipped to you. If you have your own 3D printer, you can download the models here and print them yourself, for free! Please let me know if you do, I would love to hear your thoughts. If you don't have an application to view the models, below are links to Cura and Slic3r, both of which you can download for free and open .stl files in.

The following link is to OpenJSCAD, where I have written some code to let you visualize the Riemann sum of a function, and you can change the coefficients. There you can also download the stl file for it and print it yourself. It takes a few seconds to load the file.

All works under 3D printing files, by Nicholas Owad, are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Sites that will help you learn about 3D printing

HP 3D Printing Glossary - A useful list of common terms for 3D printing - Thanks to the Lyndhurst STEM Club for suggesting this link.
Hubs 3D printing guide - A nice overall explanation of the process.
Wikipedia - A good place to start, as usual.

Sites and programs to help you create your own 3D model

HP 3D Printing Glossary - A useful list of common terms for 3D printing - Thanks to the Lyndhurst STEM Club for suggesting this link.
Tinkercad - Free online program to make 3D models - Good for first time modelers
OpenSCAD - Open source, free, code based, 3D modeling software
OpenJSCAD - Open source, free, online 3D modeler similar to Openscad
Rhino 3D - The software I use, it is very clean and professional, has a free 90 trial
Blender - Open source 3D modeler and much more.

Sites where you can download a pre-made 3D model

Thingiverse - A large, free collection of 3D models - The go to source for a stl file if you aren't making it yourself
Thingiverse Alternatives - A review of the sites that could be used instead of Thingiverse.

Slicing your 3D models

Cura - Free software used to slice and print 3D models, what I am currently using
Slic3r - Free software used to slice and print 3D models

Sites to help you choose a 3D printer that is right for you

I have to unfortunately give a warning here - Do not buy Anycubic Brand printers. They are using open-source software but not disclosing it and profiting off of other people's work that was meant to be available to all.