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 (1,274)
 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
 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
 Cluster of 31 Rhombic Triacontahedra
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
 354,387 hits
Tag Archives: dodecahedron
A Compound of the Great Stellated Dodecahedron and the Great Dodecahedron
In the picture above, each component of this compound has its own color. In the one below, each set of parallel faces is given a color of its own. These images were made using Stella 4d, software you may try … Continue reading
Posted in Mathematics
Tagged compound, dodecahedron, geometry, great, Mathematics, polyhedra, polyhedron, stellated
Leave a comment
Three Versions of a Compound of the Great and Small Stellated Dodecahedra
In the first version of this compound shown here, the great stellated dodecahedron is shown in yellow, while the small stellated dodecahedron is shown in red. In the next version, each face has its own color, except for those in … Continue reading
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, great, Mathematics, polyhedra, polyhedron, small, stellated
Leave a comment
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 Compound of an Octahedron and a Pyritohedral Dodecahedron
I made this using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged compound, dodecahedron, geometry, Mathematics, octahedron, polyhedra, polyhedral, polyhedron, pyritohedral
Leave a comment
An Offspring of a Dodecahedron and a Tetrahedron
To make this polyhedron, I first changed the symmetrytype of a dodecahedron from icosahedral to tetrahedral, then stellated it twice. This was done using Stella 4d, a program you may try for free at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged dodecahedron, geometry, hybrid, isocahedral symmetry, Mathematics, offspring, polyhedra, polyhedron, stellation, tetrahedral symmetry, tetrahedron
Leave a comment
Creating a New Polyhedron from the Snub Dodecahedron
Shown below are the snub dodecahedron and its dual, the pentagonal hexecontahedron. Seeking a way to make a “new” polyhedron (one never seen before), I augmented each face of the orange dual, above, with prisms. These prisms have a height … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, snub
2 Comments
Selected Stellations of the Truncated Dodecahedron
This is the truncated dodecahedron. It is one of the Archimedean solids. This polyhedron has a long stellationseries, from which I selected several on aesthetic grounds. The figure immediately below is the truncated dodecahedron’s 16th stellation. Here is the 21st … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, stellated, stellation, truncated
Leave a comment