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Defis Ora Stelo Explications

  Challenges La Ora Stelo 1


    • Regular Pentagons.
    • Diamonds.
    • Trisoceles Trapezoids.
    • 2phi.
    • 2nd type trisoceles Trapezoids.
    • Barrel Hexagons.
    • Robin King's trapezoids.
    • Robin King's parallelograms.

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Series of regular Pentagons    



Series of Diamonds    



Series of trisoceles Trapezoids    



Series of "2phi"    

These are in fact 3 series based on the 3 polyores of area 2φ.



Series of 2nd type trisoceles Trapezoids    



At the end of this series, for = 3, we have an area of 36φ + 27 ; in the series of regular pentagons, for = 3φ, we also have an area of 36φ + 27.

Is it possible to find a set of polyores whose total area is 36φ + 27 and which covers both the trapezoid and the pentagon ?

Series of barrel Hexagons    



Series of Robin King's trapezoids    

I dedicate this series to Robin King who found solutions to the first 39 trapezoids of this series ; she did not find a solution to the 40th ; neither do I and I don't know if there is a solution..





Series of Robin King's parallelograms    

This series is copied from the previous series with sides of length φ + 1 but the trapezoids are replaced by parallelograms.

I called it "Series of Robin King's parallelograms" because I think she would have liked this challenge. If someone gives me the solutions of the 40 parallelograms, then I would extend the list.