- Uses Ember.js to handle UI events, the graph model, and fragment URLs
- Improved performance to handle much larger graphs (draws a total of 50,000 vertices and edges before warning about performance)
- Numbers in the LCF code are modifiable using arrow keys
- Added random LCF code generation
- Added freeze frame
- Added gallery of graphs
- Updated Bootstrap to handle larger graphs and support full screen display
- Added vertex and edge count
I found this Wolfram MathWorld article on LCF notation after researching bilinear interpolation. The article inspired me to build a LCF notation parser that would create the graphs using d3.js. Originally, I only planned on displaying the circular graph without animation. Adding the graph construction animation was definitely a wow milestone, but, after I enabled the forces on the links, it turned into a woah moment. The 3D structure of the graph actually reveals itself without having to build in any 3D calculations. This was a really fun project to build and it’s still exciting to watch it build a torus.
The The On-Line Encyclopedia of Integer Sequences is a good place to look for number series that result in interesting graphs.