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
 270,282 hits
Tag Archives: icosidodecahedral
A Miscellany of Polyhedra with Icosidodecahedral Symmetry
All of these polyhedra were made using Stella 4d: Polyhedron Navigator. If you’d like to try this program yourself, simply visit http://www.software3d.com/Stella.php, where a free trial download is available.
Posted in Mathematics
Tagged geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
2 Comments
Three Views of a Rotating Cluster of 33 Icosidodecahedra
To make these three rotating clusterpolyhedra, I started with one icosidodecahedron in the center, then augmented each of its 32 faces with overlapping, additional icosidodecahedra, for a total of 33 icosidodecahedra per cluster. In the first image, only two colors are … Continue reading
Posted in Mathematics
Tagged cluster, geometry, icosidodecahedra, icosidodecahedral, icosidodecahedron, Mathematics, polyhedra, polyhedral, polyhedron
2 Comments
A Gallery of Two Dozen Polyhedra with Icosidodecahedral Symmetry, with a Few of Them Chiral
Any of these rotating polyhedra may be made larger with a click. I created them using Stella 4d, a program you may try (as a free trial download) at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
Leave a comment
A Tetrahedral Exploration of the Icosahedron
Mathematicians have discovered more than one set of rules for polyhedral stellation. The software I use for rapidly manipulating polyhedra (Stella 4d, available here, including as a free trial download) lets the user choose between different sets of stellation criteria, … Continue reading
Posted in Mathematics
Tagged cuboctahedral, geometry, icosahedral, icosahedron, icosidodecahedral, Mathematics, octahedral, polyhedra, polyhedral, polyhedron, pyritohedral, solid, stellation, symmetry, tetrahedral
Leave a comment
Four Convex Polyhedra with Icosidodecahedral Symmetry
The smaller images above may be enlarged with a click. All these polyhedra were made using Stella 4d, available here.
Posted in Mathematics
Tagged geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
Leave a comment
Eight Chiral Polyhedra with Icosidodecahedral Symmetry
To see a larger version of any rotating model, simply click on it. Each of these polyhedral images was created using a program called Stella 4d, which is available here.
Posted in Mathematics
Tagged chiral, geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
Leave a comment
Sixteen Convex Polyhedra Featuring Icosidodecahedral Symmetry
To enlarge any single image, simply click on it. Of the five polyhedra above, all appear to feature decagons. Upon close inspection, though, one of them actually features icosagons — with half their sides very short. Can you spot this … Continue reading
Posted in Mathematics
Tagged geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
Leave a comment