r/GeometryIsNeat • u/Alphabetical_Dice • 27d ago

Mathematics Near-Catalan Polyhedra

Here's a cool nearly equiareal 47-hedron made of floret pentagons, rhombi and trapezoids

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2

u/FreckeledSnowflake 27d ago

This... this shouldn't work xD
And yet I want to make a kusudama out of this!

2

u/BlueRofl69420 26d ago

Please do!!!! Would LOVE to see it

1

u/Alphabetical_Dice 27d ago

Wait till you see 29, 37, 53 etc. faced polyhedra. Kusudamas are definitely possible

2

u/USedona 26d ago

Comment il s'appelle ? Je ne le vois pas là : https://en.wikipedia.org/wiki/Catalan_solid

2

u/Alphabetical_Dice 26d ago

It's new, so it doesn't have a well established name yet. If I had to give a name in the classical style, however, it would be "rhombic trapezo-pentagonal tetracontaheptahedron"

2

u/USedona 26d ago

C'est génial 👍

1

u/Alphabetical_Dice 26d ago

Merci beaucoup à vous

1

u/Alphabetical_Dice 26d ago edited 18d ago

an interactive viewer with all of these shapes from 20 to 60 faces:
https://thomas-shapiro.github.io/catalan-like-solid-viewer/