Bifalgorithm post
"Circle Region Division Problem"
"Circle Region Division Problem" — interactive flowchart on Bifalgorithm
Ideas in this flowchart
- Circle Region Division Problem
- Initial Steps
- Choose Two Points
- Draw Straight Line
- Divide into Two Regions
- Add Third Point
- Create Two New Chords
- Divide into Four Regions
- Pattern Development
- Add Fourth Point
- Connect with Three Lines
- Divide into Eight Regions
- Add Fifth Point
- Connect with Four Lines
- Divide into Sixteen Regions
- Anomaly at Sixth Point
- Add Sixth Point
- Regions Become 31
- Deviation from Powers of Two
- Pattern Analysis
- Explore Actual Pattern
- Relation to Powers of Two
- Encouragement for Exploration
- Think and Discuss
- Create Personal Explanation
- Summary of Problem
- Connect All Points
- Determine Number of Regions
- Effect of Point Placement
- Powers of Two for <6 Points