Large rhombic dodecahedron (e)

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Re: Large rhombic dodecahedron (e)

Postby AFKAN » Fri Feb 05, 2010 12:00 pm

Love the colours you've used 8-) 8-) 8-)
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Re: Large rhombic dodecahedron (e)

Postby lazarosmotsanos » Mon Mar 08, 2010 9:26 pm

Ρομβοειδές Δωδεκάεδρο - Rhombic Dodecahedron VI.JPG


Ρομβοειδές Δωδεκάεδρο - Rhombic Dodecahedron

Geomag Elements:
Spheres: 192
Rods: 312 (264 Silver, 48 Blue)
Triangles: 8
Squares: 150 (144 Blue, 6 Red )

Bασισμένο στο έργο των (based on the work of)
Karl Horton
viewtopic.php?f=4&t=42


Ανάμεσα στα οκτώ τετράεδρα και 6 οκτάεδρα (ημιοκτάεδρα) που συνδέονται με τριγωνικούς σωλήνες περιέχεται ένα Ρομβοειδές Δωδεκάεδρο.

Ενδιαφέρουσα λεπτομέρεια αντιστοιχούν 6 οκτάεδρα σε 8 τετράεδρα και αυτό εξαιτίας της σχέσης που συνδέει τις πλευρές τους 8 Χ 3 = 24 = 6 Χ 4

Excellent structure from Karl Horton I make a copy of it.

When I use Red Triangles and Squares for the bases of the tetrahedra and octahedra I was troubled because the number of tetrahedra ( 8 ) wasn’t equal with the number of the octahedra ( 6 ), then it hit me the product of the tetrahedra with there sides is equal with the product of the octahedra with there sides 8 Χ 3 = 24 = 6 Χ 4.

Thank you again Karl for that amazing idea.
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Re: Large rhombic dodecahedron (e)

Postby Wagyx » Sun Mar 19, 2023 6:34 pm

Here are the 3D models.

It works because the Cuboctaheron and the Rhombic Dodecahedron are duals.
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models.zip
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Large expanded rhombic dodecahedron subdivided.png
Large expanded rhombic dodecahedron subdivided.png (58.71 KiB) Viewed 1124 times
Large expanded rhombic dodecahedron.png
Large expanded rhombic dodecahedron.png (52.33 KiB) Viewed 1124 times
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