NIST Digital Library of Math Functions Meets Virtual Reality
October 18, 2018
National Institute of Standards and Technology
Poolesville High School / NIST SHIP Intern
The Mixed/Augmented/Virtual Reality Innovation Conference (MAVRIC) at University of Maryland
Original Physical Book
Most cited resource in NIST's first 100 Years
M. Abramowitz and I. A. Stegun (Eds.) (1964) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. National Bureau of Standards Applied Mathematics Series, U.S. Government Printing Office, Washington, D.C..
DLMF based on Handbook
nearly 20 years/world class experts
I am NOT one of those
world class experts
Existing DLMF Graphics
What would happen if we put all the DLMF surfaces into a VR environment?
New Methods of Visual Browsing
Holding in Hand
Seriously cool dude!
Why do this?
Novel intuitive interaction..grab like a physical object
Novel color ... new color mapping relating to the math, existing is very minimal
Slicing and dicing simply physically...using results as shape searching
Novel browsing, filtering ...not limited to constraints of book and TOC
FUN is Important
The Serious Stuff
Shneiderman's Info Viz Mantra:
Zoom and filter,
details on demand
How to apply this to DLMF surfaces and info in a VR environment?
- Math Contributions
Coloring complex surfaces
Interactive variable manipulation
WebVR now WebXR
- Web Baby
- Still the best for distribution
- Native understanding of hardware
- no special software
- it's all in the browser
These are WEB Accessable
Aframe for the Win
Lots of Ideas for Future Work
Music: Wes Montgomery "Winds of Barcelona"
Thanks Very Much!
All dlmf surfaces
about 1/3 of the surfaces
0-9 keypress for random DLMF
By Sandy Ressler