Expanding Ball Thingies

Icosidodecahedron Expanding Into Rhombicosidodecahedron inspired by Octahedron Expanding Into Cuboctahedron
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updated November 24, 2025

Description

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At first I wanted to scale the “Octahedron Expanding Into Cuboctahedron”, but I didn’t like the result, so I decided to recreate it in FreeCAD instead, and I loved how it turned out. After that I searched for other possible geometric shapes, and the closest ones I found without over-complicating the geometry were the Icosidodecahedron and the Rhombicosidodecahedron, so I decided to add a pentagon face, and here we are. I'm satisfied with both models.

I’ve used varsets to design all the bodies so I can change the sizes later on, and I also made “supported” versions. I'm not a real or pro designer, so please don’t judge that part too harshly.

Parts needed

For “Octahedron Expanding Into Cuboctahedron”:

8 × frame_v2

12 × joint_v2

For “Icosidodecahedron Expanding Into Rhombicosidodecahedron”:

20 × frame_v2

12 × frame_v3

60 × joint_v3

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Model origin

The author remixed this model.

Differences of the remix compared to the original

I recreated it in FreeCAD using parametric varset setups. This version is fully rebuilt and also includes a new shape: an Icosidodecahedron expanding into a Rhombicosidodecahedron. The frames and joints are redesigned to extend the concept.

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