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*, Submitted.
• Random meander model for links - With A. Tsvietkova, Submitted. Zeilberger's Algorithm Maple file.
• Families of not perfectly straight knots - To appear in the Journal of Knot Theory and Its Ramifications. (Accepted 2019)
• Straight Knots - Submitted. (2018)
• Bridge spectra of cables of 2-bridge knots - Journal of Knot Theory and Its Ramifications. 18 January, 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.

• Klein bottle
• Torus
• Sphere
• Figure 8 knot
• Boy's Surface - Coming soon

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.

• Quadratic in two variables
• More to come soon

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

Programs and sites to help you make or find a 3D model

• 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
• Thingiverse - A large, free collection of 3D models - The go to source for a stl file if you aren't making it yourself
• Rhino 3D - The software I use, it is very clean and professional, has a free 90 trial

Programs and sites to help you make 3D prints

• 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

• Hubs printer guide
• Make: Magazine guide
• Monoprice Maker Select v2 - The printer I am currently using