Geometrical matrix of M45 cluster (Pleiades), model development, work in progress

pleiadiangeography

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Is it possible to construct 45°/φ angle by classical construction, ruler-and-compass construction?
45°/φ is one of the basic angles that form a geometrical matrix of M45 star cluster (Pleiades).
 

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What angle is [math]45^{ \circ} / \phi[/math]? Are you trying to make a 45 degree angle?

Sure, no problem. Make a square and draw a diagonal. The angles on the diagonal are 45 degree angles.

-Dan
 
What angle is [math]45^{ \circ} / \phi[/math]? Are you trying to make a 45 degree angle?

Sure, no problem. Make a square and draw a diagonal. The angles on the diagonal are 45 degree angles.

-Dan
sorry, my mistake.... 45°/φ, whereas φ = (√5 + 1)/2 is golden ratio coefficient
 
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