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Magic circle (mathematics)

Magic circles were invented by the Song dynasty (960–1279) Chinese mathematician Yang Hui (c. 1238–1298). It is the arrangement of natural numbers on circles where the sum of the numbers on each circle and the sum of numbers on diameters are identical. One of his magic circles was constructed from the natural numbers from 1 to 33 arranged on four…

Yang Hui magic circles, Ding Yidong magic circles & Cheng Dawei magic circles

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Yang Hui magic circles

RadiusSemicircles
2 related topics

Ding Yidong magic circles

Magic square
1 related topics

Cheng Dawei magic circles

Suanfa Tongzong
1 related topics

Extension to higher dimensions

Sphere
1 related topics

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Yang Hui magic circles

Ding Yidong magic circles

Cheng Dawei magic circles

Extension to higher dimensions

Relationship with magic squares

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Magic circle (mathematics)

Nodes20
Edges19
Triples0
Avg. degree1.9
Density0.1
Components1

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Important terminology

circle magic circles numbers square yang number center eight sum concentric hui arranged total mathematician one four natural chinese diameters

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