Search
Subject Categories:
 Art (413)
 Asperger's (32)
 Blogging (9)
 China and the Han (9)
 eBay (3)
 Education (87)
 Fiction (27)
 Geography (26)
 History (36)
 Humor (40)
 Life (347)
 Mandalas (118)
 Mathematics (1,152)
 Mental Health (69)
 Music (41)
 Mysteries (12)
 Politics (103)
 Quotations (62)
 Religion (58)
 Satire (7)
 Science and Scientists (110)
 Follow RobertLovesPi's Blog on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 A Compound of Two Stellated Polyhedra
 The Complete List of Things to Like about Donald Trump
 Polyhedron with 152 Faces, Including 60 Heptagons
 Zonohedrified Rhombicosidodecahedron with 870 Rhombic Faces
 23 Polyhedra with Icosidodecahedral Symmetry
 Cheer Up, America! It Could Be Worse!
 Six Circles
 American Fascism 2017
 3, 4, 5, 6
 On Building Character During the Trump Presidency
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 language life mandala mandalas math mathematical mathematical art Mathematics music nearmiss nonagon octagon octahedron op art pentagon physics politics polygon polyhedra polyhedral polyhedron 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 zonohedronHit Counter
 209,942 hits
Tag Archives: icosidodecahedron
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
On Polyhedral Augmentation and Excavation
I have made many posts here using polyhedral augmentation, but what I haven’t done — yet — is explain it. I have also neglected the reciprocal function of augmentation, which is called excavation. It is now time to fix both … Continue reading
Posted in Mathematics
Tagged augmentation, cluster, excavation, geometry, icosahedron, icosidodecahedron, Mathematics, polyhedra, polyhedral, polyhedron, reciprocal, solid
Leave a comment
Multiple Facetings of the Icosidodecahedron
To create a faceted icosidodecahedron, you simply start with an icosidodecahedron, then remove its edges and faces. Next, you connect the vertices differently, thus creating new faces and edges. As you can see below, this can be done in many … Continue reading
Posted in Mathematics
Tagged faceted, faceting, geometry, icosidodecahedron, Mathematics, polyhedra, polyhedron
Leave a comment
A Faceted Icosidodecahedron with 48 Faces
The 48 faces of this faceted icosidodecahedron are: 6 green regular decagons (difficult to see, because they pass through the figure’s center) 30 golden rectangles, shown in yellow, and each interpenetrating other faces 12 blue star pentagons Software called Stella 4d … Continue reading
Posted in Mathematics
Tagged faceted, faceting, geometry, Golden Rectangle, icosidodecahedron, Mathematics, polyhedra, polyhedron, star pentagon
Leave a comment
A Compound of Fifteen Cuboids — Which Is Also a Particular Faceting of the Icosidodecahedron
The creator of Stella 4d, the program I used to make these rotating polyhedral images, is Robert Webb (and the software itself may be tried for free here). Recently, on Facebook, he displayed a paper model of this compound of … Continue reading
Posted in Mathematics
Tagged 15, compound, cuboids, faceted, faceting, fifteen, geometry, icosidodecahedron, Mathematics, polyhedra, polyhedron
Leave a comment
The Final Stellation of the Rhombic Triacontahedron, Together with Its Dual, a Faceting of the Icosidodecahedron
Sharpeyed, regular readers of this blog will notice that this is the same polyhedron shown in the previous post, which was described as the “final stellation of the compound of five cubes,” due to the coloring scheme used in the … Continue reading
Posted in Mathematics
Tagged dual, faceted, faceting, final, geometry, icosidodecahedron, Mathematics, polyhedra, polyhedron, reciprocal, rhombic triacontahedron, stellated, stellation
Leave a comment
A Central Icosidodecahedron, Augmented with Twenty Cuboctahedra, and Twelve More Icosidodecahedra
Above and below, you will find two different coloringschemes for this particular cluster of polyhedra. I made both of these rotating images using Stella 4d, software you can buy, or try for free, right here.
Posted in Mathematics
Tagged cluster, cuboctahedron, geometry, icosidodecahedron, Mathematics, polyhedra, polyhedral, polyhedron
Leave a comment