Search
Subject Categories:
 Art (466)
 Asperger's (32)
 Blogging (11)
 China and the Han (9)
 eBay (3)
 Education (93)
 Fiction (29)
 Geography (27)
 History (38)
 Humor (49)
 Life (364)
 Mandalas (127)
 Mathematics (1,288)
 Mental Health (75)
 Music (44)
 Mysteries (16)
 Politics (123)
 Quotations (64)
 Religion (58)
 Satire (12)
 Science and Scientists (120)
 Follow RobertLovesPi.net on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 Twelve Equilateral Triangles
 “Feeling Yourself Disintegrate,” by The Flaming Lips, and the Inevitability of Death
 Tessellation of Rhombi and Star Hexagons
 Star Mandala
 Please Vote, or Don’t . . . Depending . . . .
 A Rhombic Triacontahedron with Faces Which Are Tessellated
 Another OctagonTessellation
 Cluster of 33 Icosidodecahedra
 Tessellation of Regular Pentagons and Tetraconcave Octagons
 Election 2018
Explore RobertLovesPi By Topic
 Arkansas
 Art
 Asperger's
 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
 life
 mandala
 mandalas
 math
 mathematical
 mathematical art
 Mathematics
 music
 nonagon
 octagon
 octahedron
 op art
 pentagon
 physics
 politics
 polygon
 polyhedra
 polyhedral
 polyhedron
 president
 quotation
 quote
 religion
 rhombi
 rhombic dodecahedron
 rhombicosidodecahedron
 rhombic triacontahedron
 rhombus
 school
 science
 snub dodecahedron
 star
 stellated
 stellation
 symmetry
 tessellation
 tetrahedron
 tiling
 triangle
 Trump
 truncated icosahedron
 USA
 words
 zonohedron
Hit Counter
 361,662 hits
Tag Archives: cuboctahedron
Octahedra and Cuboctahedra Can Fill Space Without Leaving Any Gaps
I created this image using Stella 4d, which you can try for free right here. It’s much like a tessellation, but in three dimensions instead of two.
Posted in Mathematics
Tagged cuboctahedra, cuboctahedron, fill space, geometry, honeycomb, Mathematics, octahedra, octahedron, polyhedra, polyhedron, tesselation, tessellate
Leave a comment
Honeycomb Made of Cuboctahedra and Octahedra
This is the threedimensional version of what is called a tessellation in two dimensions. It fills space, and can be continued in all directions. Software used: Stella 4d, available here.
Posted in Mathematics
Tagged cuboctahedra, cuboctahedron, geometry, honeycomb, lattice, Mathematics, octahedra, octahedron, polyhedra, polyhedron
Leave a comment
Spectral Circles on a Cuboctahedron
I used three programs to make this: Geometer’s Sketchpad, MSPaint, and Stella 4d. The third of these may be tried for free at http://www.software3d.com/Stella.php.
Posted in Art, Mathematics
Tagged Art, cuboctahedron, geometric, geometrical, geometry, mathematical, Mathematics, polyhedra, polyhedron
4 Comments
A Central Icosidodecahedron, Augmented with Twenty Cuboctahedra, and Twelve More Icosidodecahedra
Above and below, you will find two different coloringschemes 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.
Posted in Mathematics
Tagged cluster, cuboctahedron, geometry, icosidodecahedron, Mathematics, polyhedra, polyhedral, polyhedron
Leave a comment
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
Posted in Mathematics
Tagged 10, 5, compound, cuboctahedra, cuboctahedron, five, geometry, Mathematics, polyhedra, polyhedral, polyhedron, rhombic dodecahedra, rhombic dodecahedron, ten
1 Comment
FourPart 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.
Posted in Mathematics
Tagged compound, cuboctahedron, dodecahedron, geometry, icosahedron, Mathematics, polyhedra, polyhedron, rhombic dodecahedron
1 Comment
A Platonic/Catalan Compound and Its Dual, a Platonic/Archimedean Compound
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
Posted in Mathematics
Tagged compound, cuboctahedron, dodecahedron, dual, geometry, icoahedron, Mathematics, polyhedra, polyhedron, rhombic dodecahedron
Leave a comment