Xugu Zhaiqi Suanfa/Examples/Example 1
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Example of Problem from Xugu Zhaiqi Suanfa by Yang Hui
- Arrange the numbers $1$ to $33$ in these circles so that every circle and every diameter has the same total.
Solution
The numbers in the circles add up to $138$.
The numbers along the diameters add up to $147$.
Sources
- c. 1275: Yang Hui: Xugu Zhaiqi Suanfa
- 1959: J. Needham: Science and Civilisation in China, Volume 3: Mathematics and the Sciences of the Heaven and the Earth
- 1992: David Wells: Curious and Interesting Puzzles ... (previous) ... (next): Sun Tsu Suan-Ching: $75$