Search
Subject Categories:
 Art (435)
 Asperger's (32)
 Blogging (9)
 China and the Han (9)
 eBay (3)
 Education (91)
 Fiction (28)
 Geography (27)
 History (37)
 Humor (46)
 Life (355)
 Mandalas (121)
 Mathematics (1,207)
 Mental Health (72)
 Music (43)
 Mysteries (16)
 Politics (118)
 Quotations (64)
 Religion (58)
 Satire (10)
 Science and Scientists (120)
 Follow RobertLovesPi.net on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 A Variant of the Icosidodecahedron Featuring Four Hexagons
 A Variant of the Rhombicosidodecahedron Featuring Four Hexagons
 A Miscellany of Polyhedra with Icosidodecahedral Symmetry
 Slowly Rotating Hypercube
 Two Facetings of the Truncated Dodecahedron
 A Faceted Truncated Icosahedron
 An Easy Way to Find a Better President
 Calvin and Trump
 A Polyhedron Featuring Hexagons, Pentagons, Triangles, and Lots of Quadrilaterals
 A Polyhedron Featuring Icosagons, Kites, and Triangles
Explore RobertLovesPi By Topic
 Arkansas
 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
 life
 mandala
 mandalas
 math
 mathematical
 mathematical art
 Mathematics
 music
 nearmiss
 nonagon
 octagon
 octahedron
 op art
 pentagon
 physics
 politics
 polygon
 polyhedra
 polyhedral
 polyhedron
 president
 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
Hit Counter
 269,682 hits
Tag Archives: snub dodecahedron
A Dozen Snub Dodecahedra, Surrounding a Dodecahedral Core
Software used — Stella 4d: Polyhedral Navigator, available as a free trial download at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged cluster, geometry, Mathematics, polyhedra, polyhedral, polyhedron, snub dodecahedron
1 Comment
The Snub Dodecahedron’s Big Brother
The polyhedron above reminded me of the snub dodecahedron, which is shown below. Both rotating images were made using Stella 4d, which you can try for yourself — with a free trial download available — right here.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, snub dodecahedron
Leave a comment
The Triangles of a Snub Dodecahedron
The snub dodecahedron, one of the Archimedean solids, has eighty faces which are triangles, and twelve pentagonal faces as well. In the view above, the pentagons are rendered invisible, allowing the interior to be viewed as the solid rotates. The … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, snub dodecahedron
Leave a comment
Variations of the Snub Dodecahedron
To make the first of these variations, above, I augmented each triangular face of a snub dodecahedron with an antiprism 2.618 times as tall as the triangles’ edge length, and then took the convex hull of the result. The other … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, snub dodecahedron, solid, variant, variation
Leave a comment
The Snub Dodecahedron and Related Polyhedra, Including Compounds
The dual of the snub dodecahedron (above) is called the pentagonal hexacontahedron (below, left). The compound of the two is shown below, at right. (Any of the smaller images here may be enlarged with a click.) Like all chiral polyhedra, … Continue reading
An Icosahedron, Augmented by Snub Dodecahedra, Plus Two Versions of a Related Polyhedral Cluster
Because the snub dodecahedron is chiral, the polyhedral cluster, above, is also chiral, as only one enantiomer of the snub dodecahedron was used when augmenting the single icosahedron, which is hidden at the center of the cluster. As is the … Continue reading
Posted in Mathematics
Tagged chiral, chirality, cluster, compound, enantiomer, enantiomorphic, geometry, icosahedron, Mathematics, polyhedra, polyhedral, polyhedron, snub dodecahedron
Leave a comment