- Art (421)
- Asperger's (32)
- Blogging (9)
- China and the Han (9)
- eBay (3)
- Education (88)
- Fiction (27)
- Geography (26)
- History (36)
- Humor (42)
- Life (350)
- Mandalas (118)
- Mathematics (1,169)
- Mental Health (70)
- Music (43)
- Mysteries (12)
- Politics (109)
- Quotations (63)
- Religion (58)
- Satire (7)
- Science and Scientists (114)
- Follow RobertLovesPi's Blog on WordPress.com
Most-Viewed Posts, Recently:
- June 13 Special Election in the PCSSD
- I used to donate occasionally to the ACLU, but then Donald Trump became president, so I set up a monthly payment plan.
- Augmenting the Octahedron with Octahedra, Repeatedly.
- Two Polyhedra, Each Featuring Enneagons and Octagons
- A Flock of 32 Rhombic Triacontahedra
- A Flock of Rhombicosidodecahedra
- It’s a Party in America . . . Tax Refunds Arrived!
- Op Art on a Dodecahedron
Explore RobertLovesPi By TopicArkansas Art Asperger's Aspie astronomy atheism atheist chemistry chiral circle cluster compound cube cuboctahedron dodecahedron dual Education enneagon faceted faceting geometric geometrical geometrical art geometry Golden Ratio hexagon Humor humour icosahedron icosidodecahedral icosidodecahedron kite language life mandala mandalas math mathematical mathematical art Mathematics music near-miss nonagon octagon octahedron op art pentagon physics politics polygon polyhedra polyhedral polyhedron quotation quote religion rhombic dodecahedron rhombicosidodecahedron rhombic triacontahedron rhombus school science snub dodecahedron star stellated stellation symmetry tessellation tetrahedron tiling triangle truncated icosahedron USA words zonohedron
- 230,463 hits
Tag Archives: cuboctahedron
Above and below, you will find two different coloring-schemes for this particular cluster of polyhedra. I made both of these rotating images using Stella 4d, software you can buy, or try for free, right here.
Various Views of Three Different Polyhedral Compounds: Those of (1) Five Cuboctahedra, (2) Five of Its Dual, the Rhombic Dodecahedron, and (3) Ten Components — Five Each, of Both Polyhedra.
Polyhedral compounds differ in the amount of effort needed to understand their internal structure, as well as the way the compounds’ components are assembled, relative to each other. This compound, the compound of five cuboctahedra, and those related to it, … Continue reading
Four-Part Compound of the Icosahedron, the Dodecahedron, the Cuboctahedron, and the Rhombic Dodecahedron
This compound was created using Stella 4d, software you can try for yourself here.
Shown above: the compound of the icosahedron and the rhombic dodecahedron. Below is its dual, the compound of the dodecahedron and the cuboctahedron. Both these compounds were created using the “add/blend polyhedron from memory” function in Stella 4d: Polyhedron Navigator. … Continue reading
My guess is that this is a faceting of the cuboctahedron, but I didn’t use faceting when I made it with Stella 4d (a program you can try here), so I am not sure about this. Based on its appearance, … Continue reading
It is well-known that the cuboctahedron and the rhombic dodecahedron are dual polyhedra. However, until I stumbled upon this, I was unaware that rhombic dodecahedra could actually be arranged into a cluster with the overall shape of a cuboctahedron. [Software … Continue reading
Due to their high number of planes of symmetry, rhombic triacontahedra make excellent building blocks to build other polyhedra. To make this, I used a program called Stella 4d, which you can try right here.