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Golden Rhombohedra, Acute, Obtuse, Golden Ratio, Dodecahedron, Rhombic Triacontahedron

Capture d’écran 2018-05-14 à 11.22.05.png Golden Rhombohedra, Acute, Obtuse, Golden Ratio, Dodecahedron, Rhombic Triacontahedron
f2cb06647ac2931cfdb146452bc0c300_preview_featured.jpg Golden Rhombohedra, Acute, Obtuse, Golden Ratio, Dodecahedron, Rhombic Triacontahedron
AcuteRhomboH25mm.stl Golden Rhombohedra, Acute, Obtuse, Golden Ratio, Dodecahedron, Rhombic Triacontahedron
AcuteRhomboH50mm.stl Golden Rhombohedra, Acute, Obtuse, Golden Ratio, Dodecahedron, Rhombic Triacontahedron
ObtuseRhomboH25mm.stl Golden Rhombohedra, Acute, Obtuse, Golden Ratio, Dodecahedron, Rhombic Triacontahedron
ObtuseRhomboH50mm.stl Golden Rhombohedra, Acute, Obtuse, Golden Ratio, Dodecahedron, Rhombic Triacontahedron
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Creation quality: 5.0/5 (1 vote)
Evaluation of members on the printability, utility, level of detail, etc.
  • 2.2k views
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  • 39 downloads
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3D design format
STL Folder details Close
  • AcuteRhomboH25mm.stl
  • AcuteRhomboH50mm.stl
  • ObtuseRhomboH25mm.stl
  • ObtuseRhomboH50mm.stl

Learn more about the formats
Publication date 2018-05-14 at 09:22
Design number 25231
LGBU

LGBU

3D printer file info

3D model description

Golden Rhombohedra
Starting from a golden rhombus, we can build a 30-faced rhombic triacontahedron, which can be further used to build a golden icosahedron, a golden (Bilinski) dodecahedron. Then, from a golden dodecahedron, we can obtain two types of golden rhombohedra (six-faced polyhedra)—the acute form the obtuse form. They are strange on the screen but look and fit together beautifully once you have them in your hands.

There are certainly other ways to make these. But that is what I went through. Simple and complex as they are, all children should have a chance to play with them, to get a feel for mathematics! The rich connections are everywhere in these wonderful mathematical gems! Two sizes (short diagonal of a rhombus) are included: 25mm and 50mm.

How to Play
2 acute ones + 2 obtuse ones => 1 golden dodecahedron;
10 acute ones + 10 obtuse ones => 1 golden rhombic triacontahedron.

References
http://www.cutoutfoldup.com/979-golden-rhombohedra.php
http://www.georgehart.com/virtual-polyhedra/dissection-rt.html
https://en.wikipedia.org/wiki/Rhombic_triacontahedron

3D printing settings

Rafts:

No

Supports:

No

Resolution:

.1 to .2mm

Infill:

5-20%

Notes:
Support does not seem to necessary for the obtuse one; but do consider it if your printer needs it.

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