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Why has Stafford Beer chosen the Icosahedron as a structural model for the Syntegration?

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Why has Stafford Beer chosen the Icosahedron as a structural model for the Syntegration?

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Beer has used the insights of the natural sciences, Bionics and Architecture. He came to the conclusion, that the principle of rectangular triangles, equalizing the existing forces, could also be transferred to the interaction of people. According to Beer, about thirty people have enough combined knowledge to work on a complex issue and to come to concrete solutions. Twelve topics on the other hand allow to split up an opening question into individual topics, which are neither to small nor too large so that each participant can follow all topics in their development during the Syntegration and to directly influence all topics. An icosahedron has twelve edges and thirty struts – a perfect structural model for this process.

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