Search
Subject Categories:
 Art (462)
 Asperger's (32)
 Blogging (11)
 China and the Han (9)
 eBay (3)
 Education (93)
 Fiction (29)
 Geography (27)
 History (38)
 Humor (49)
 Life (363)
 Mandalas (126)
 Mathematics (1,275)
 Mental Health (74)
 Music (43)
 Mysteries (16)
 Politics (121)
 Quotations (64)
 Religion (58)
 Satire (12)
 Science and Scientists (121)
 Follow RobertLovesPi.net on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 Octahedra and Cuboctahedra Can Fill Space Without Leaving Any Gaps
 Spectral Circles #3
 A Compound of the Great Stellated Dodecahedron and the Great Dodecahedron
 One Dozen Icosahedra
 Tessellation of Rhombi and Tetraconcave Octagons
 A Radial Tessellation Using Three Types of Rhombi
 A Radial Tessellation Using Two Types of Rhombi
 A Zonohedron with 1382 Faces, Based on the Rhombicosidodecahedron
 Spectral Circles #2
 Four Different Faceted Versions of the Rhombicosidodecahedron
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
 355,149 hits
Monthly Archives: December 2014
A Survey of Polyhedra with Pyritohedral Symmetry
The simplest way for many to understand pyritohedral symmetry is simply to realize that it is the symmetry of the seams in a volleyball. The first time I encountered this unusual symmetrytype was in the golden icosahedron I blogged about … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, pyritohedral, symmetry
Leave a comment
If You Have Enough Platonic Dodecahedra Around, and Glue Them Together Just Right, You Can Make a Rhombic Triacontahedron.
Aren’t you glad to know that? As soon as I found out isocahedra can form a rhombic dodecahedron (see last post), I knew this would be true as well. Why? Zome explains why, actually. It’s at http://www.zometool.com. Anything buildable with … Continue reading
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, Mathematics, polyhedra, polyhedron, rhombic triacontahedron
Leave a comment
A Rhombic Dodecahedral Lattice, Made of Icosahedra
I used Stella 4d: Polyhedron Navigator to make this. You can find this program at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged icosahedra, icosahedron, polyhedra, polyhedron, rhombic dodecahedron
2 Comments
A Compound of Three Square Dipyramids
The reason I am not calling this a compound of three octahedra is that the faces of the dipyramids aren’t quite equilateral. They are, however, isosceles. This was created with Stella 4d, which you can buy, or try for free, … Continue reading
Posted in Mathematics
Tagged compound, dipyramid, geometry, Mathematics, polyhedra, polyhedron
Leave a comment
Happy Second Anniversary of Your Simulated Existence
The world ended on this day in 2012 — December 21 — when the Mayan calendar began a new cycle. We now secretly live in a computer simulation run by highly advanced ancient Mayan aliens. They have authorized me to … Continue reading
Posted in Life, Religion
Tagged calendar, conspiracy, December 21, end of the world, eschatology, Mayan, theories, theory
Leave a comment
A PartiallyInvisible Rhombicosidodecahedron, and One of Its Stellations
The polyhedron above originally had thirty yellow square faces, but I rendered them invisible so that the interior structure of this polyhedron could be seen. When stellating such a partiallyinvisible figure, the new faces “inherited” from the “parent polyhedron” are … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombicosidodecahedron, stellated, stellation
Leave a comment
The Seven Zonish Dodecahedra with Zones Added Based on Faces, Edges, and/or Vertices
If a zonish dodecahedron is created with zones based on the dodecahedron’s vertices, here is the result. If the same thing is done with edges, this is the result — an edgedistorted version of the great rhombicosidodecahedron. Another option is … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, zonish, zonohedrification, zonohedron
Leave a comment