Search
Subject Categories:
 Art (452)
 Asperger's (32)
 Blogging (11)
 China and the Han (9)
 eBay (3)
 Education (93)
 Fiction (28)
 Geography (27)
 History (38)
 Humor (49)
 Life (362)
 Mandalas (125)
 Mathematics (1,247)
 Mental Health (73)
 Music (43)
 Mysteries (16)
 Politics (121)
 Quotations (64)
 Religion (58)
 Satire (12)
 Science and Scientists (120)
 Follow RobertLovesPi.net on WordPress.com
MostViewed Posts, Recently:

Recent Posts
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
 340,032 hits
Tag Archives: dodecahedra
Augmenting the Dodecahedron with Great Dodecahedra
These two polyhedra are the dodecahedron (left), and the great dodecahedron (right). Since the faces of both of these polyhedra are regular pentagons, it is possible to augment each of the dodecahedron’s twelve faces with a great dodecahedron. Here is … Continue reading
Posted in Mathematics
Tagged augment, augmentation, augmented, dodecahedra, dodecahedron, geometry, great, Mathematics, polyhedra, polyhedron
Leave a comment
A Dozen Pulsating Dodecahedra
To make this using Stella 4d (available here) I started with an icosahedron, placed a dodecahedron on each of its vertices, then rendered the central icosahedron invisible. The slight pulsating effect is caused by the program fitting the polyhedra tightly … Continue reading
Posted in Art, Mathematics
Tagged Art, dodecahedra, dodecahedron, dozen, geometric, geometrical, geometry, mathematical, Mathematics
Leave a comment
A Compound of Two Pyritohedral Dodecahedra
I made this compound using Stella 4d, a program which is available here: http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged compound, dodecahedra, dodecahedron, geometry, Mathematics, polyhedra, polyhedron, pyritohedral
Leave a comment
On Convex, Dodecahedral “Fair Dice”
One of my early introductions to polyhedra came through playing the game Advanced Dungeons and Dragons (AD&D), which uses a standard sevendie set which includes the five Platonic Solids, plus two “d10s” (either tenfaced dipyramids or trapezohedra) which are used as … Continue reading
Posted in Life, Mathematics
Tagged D&D, d12, dice, die, dodecahedra, dodecahedral, dodecahedron, Dragons, Dungeons, Dungeons & Dragons, fair dice, game, geometry, Mathematics, polyhedra, polyhedral, polyhedron, RPG, symmetry, unusual
Leave a comment
Partially Truncated Platonic and Rhombic Dodecahedra
Each of these dodecahedra were modified by truncations at exactly four of their threevalent vertices. As a result, each has four equilateral triangles as faces. In the one above, the Platonic dodecahedron’s pentagonal faces are modified into a dozen irregular … Continue reading
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, Mathematics, partial, Platonic, polyhedra, polyhedron, rhombic, truncated, truncation
Leave a comment
92 Dodecahedra, Arranged as a Single Rhombic Triacontahedron
With 92 dodecahedra, if you arrange them just right, you can make a model of a rhombic triacontahedron: For purposes of comparison, here is what the rhombic triacontahedron normally looks like: Also, referring back to the first model shown, here … Continue reading
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, polyhedra, polyhedron, rhombic triacontahedron
3 Comments
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