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
 361,661 hits
Tag Archives: icosahedron
One Dozen Icosahedra
I made this using Stella 4d, software you can try for yourself right here.
Posted in Mathematics
Tagged geometry, icosahedra, icosahedron, Mathematics, polyhedra, polyhedron
Leave a comment
An Icosahedron Augmented with Twenty Great Icosahedra, together with the Dual of this ClusterPolyhedron
The clusterpolyhedron above was formed by augmenting a central isocahedron with twenty great icosahedra. The dual of this cluster is shown below. Both these images were created using Stella 4d, which you may try for free at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged cluster, geometry, great icosahedron, icosahedron, Mathematics, polyhedra, polyhedron
Leave a comment
A Second Type of Double Icosahedron, and Related Polyhedra
After seeing my post about what I called the “double icosahedron,” which is two complete icosahedra joined at one common triangular face, my friend Tom Ruen brought my attention to a similar figure he likes. This second type of double icosahedron … Continue reading
Posted in Mathematics
Tagged double, geometry, gyroelongated pentagonal pyramid, icosahedron, J11, Mathematics, polyhedra, polyhedron, stellated, stellation, zonohedra, zonohedron
3 Comments
Augmenting, and Then Reaugmenting, the Icosahedron, with Icosahedra
A reader of this blog, in a comment on the last post here, asked what would happen if each face of an icosahedron were augmented by another icosahedron. I was also asked what the convex hull of such an icosahedroncluster … Continue reading
Posted in Mathematics
Tagged augment, augmentation, augmented, cluster, geometry, icosahedron, Mathematics, polyhedra, polyhedral, polyhedron
6 Comments
The Double Icosahedron, and Some of Its “Relatives”
The double icosahedron is simply an icosahedron, augmented on a single face by a second icosahedron. I thought it might be interesting to explore some transformations of this solid, using Stella 4d: Polyhedron Navigator (available here), and I was not … Continue reading
Posted in Mathematics
Tagged double, geometry, icosahedron, Mathematics, polyhedra, polyhedron
4 Comments
A BlackonBlack Polyhedron: The Final Stellation of the Icosahedron
I made this using Stella 4d: Polyhedron Navigator, which you may try for free right here.
Posted in Art
Tagged Art, final, geometric, geometrical, geometry, icosahedron, mathematical, polyhedra, polyhedron, stellated, stellation
Leave a comment
Icosahedral Blue On Blue
Stella 4d was used to make this image, and you may try it for free by following this link.