7-Way Venn Diagram

This project creates an interactive 7-way Venn diagram using the venn.js library and D3.js. A Venn diagram is a graphical representation of the possible logical relations between a collection of sets.

Features

• Visualizes 7 different sets (A, B, C, D, E, F, G) and their intersections
• Interactive: hover over regions to highlight them and see details about the intersection
• Color-coded sets for easy identification
• Dynamic tooltips showing intersection information
• Responsive layout with clean design

Technologies Used

• HTML5
• CSS3
• JavaScript (ES6)
• D3.js for data visualization
• venn.js for specific Venn diagram calculations and rendering

How It Works

The diagram uses circles to represent each set, and the overlapping areas represent intersections between sets. The size of each region is proportional to the size of the intersection.

For a 7-way Venn diagram, there are 2^7 - 1 = 127 possible non-empty intersections. While not all of these can be easily visualized in a traditional Venn diagram, the venn.js library uses algorithms to position and size the circles to best represent the key intersections.

Challenge

Creating a complete 7-way Venn diagram is mathematically challenging - a traditional circular Venn diagram can cleanly show intersections for up to 3 sets. For more sets, specialized representations like the Edwards-Venn diagram are typically used. This implementation uses venn.js to create an approximation that shows the key relationships while remaining visually interpretable.