#rhombicdodecahedron
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paulakrieg.bsky.social
Another way to fill the rhombic dodecahedron happens to be the convex hull of a compound of an octahedron cube.

#convexhull
#polyhedron
#compoundpolyhedra
#rhombicdodecahedron
#cube
#octahedron
Three compounds of an octahedron and a cube sitting on my desk waiting for me to walk in this morning and admire them. That's a rhombic dodecahedron box to the left, which is the perfect fit for these solids. Another view of these compound solids. The one made from a single pattern doesn't show off the compound-ness as well as the one on the right, but , really it's a satisfying shape even if you don't know or care about compound solids. Oops. The cube lost its octahedron protrusions. The blue patterned compound of the cube and the tetrahedron has hopped into its convex hill, the rhombic dodecahedron box while the cube looks on surrounded by the wayward points of the octahedron.
August 25, 2025 at 4:22 PM
soultonhall.bsky.social
Soulton's yews are clipped to reveal its 16th-century cube + lost pyramidal roof, inviting you to imagine the full #RhombicDodecahedron! Old Sir Rowland loved this Platonic shape for its social allegories. Fun fact: it's also the shape of garnets! #SoultonHall #GeometricHistory #EnglishHeritage
July 2, 2025 at 4:52 PM
paulakrieg.bsky.social
Once again having a difficult time preparing for the class I'm teaching later today about #cubes. The rabbit holes I stumble into are irresistible. Last week we made a #rhombicdodecahedron which unfurled into cube & revealed an inner cube. Today I designed a box to hold it.Not in our syllabus.
Box for and units of a rhombic Dodecahedron. An closed and an open box for the rhombic dodecahedron
February 25, 2025 at 7:09 PM
robertlovespi.bsky.social
robertlovespi.net/2024/10/24/t... #Compound of the #cuboctahedron and the #rhombicdodecahedron #dualcompound #compound #polyhedral #polyhedron #polyhedra #mathsky #mathematics #geometry
The Compound of the Cuboctahedron and Its Dual, the Rhombic Dodecahedron
Created with Stella 4d, which you can try for free here.
robertlovespi.net
November 30, 2024 at 7:40 PM
soultonhall.bsky.social
...the link to the #rhombicdodecahedron is IP of #ByrgaGeniht

📹:
(1) youtu.be/sLHUrQ2MZWA

(2) youtu.be/QCFmzv7JjUQ (23:20)
November 19, 2024 at 9:40 PM
soultonhall.bsky.social
The Epidaurus Court 📷 shared earlier today shows the "perfect" side: a 3x3 cube... an architectural code pointing to the rhombicdodecaedron

The link to the #rhombicdodecahedron is IP of #ByrgaGeniht

📹:
(1) youtu.be/sLHUrQ2MZWA

(2) youtu.be/QCFmzv7JjUQ (23:20)
November 19, 2024 at 9:39 PM