Sangaku Puzzle I Can't Solve
4 days ago
- #Sangaku
- #math-puzzle
- #geometry
- A friend found a Sangaku, a Japanese geometrical problem on wooden tablets from the Edo period.
- The problem involves finding the radius of a small circle in relation to the side length of a square.
- The solution involves complex geometry and algebra, with multiple approaches suggested by different people.
- One approach uses Descartes’ Circle Theorem and inversion techniques to simplify the problem.
- Another approach involves setting up coordinate systems and solving equations for the circle's center and radius.
- The final solution found was that the radius of the small circle is 4/33 of the side length of the square.