Search
Subject Categories:
 Art (421)
 Asperger's (32)
 Blogging (9)
 China and the Han (9)
 eBay (3)
 Education (88)
 Fiction (27)
 Geography (26)
 History (36)
 Humor (42)
 Life (350)
 Mandalas (118)
 Mathematics (1,169)
 Mental Health (70)
 Music (43)
 Mysteries (12)
 Politics (109)
 Quotations (63)
 Religion (58)
 Satire (7)
 Science and Scientists (114)
 Follow RobertLovesPi's Blog on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 Heptagrammic
 June 13 Special Election in the PCSSD
 I used to donate occasionally to the ACLU, but then Donald Trump became president, so I set up a monthly payment plan.
 Augmenting the Octahedron with Octahedra, Repeatedly.
 Two Polyhedra, Each Featuring Enneagons and Octagons
 A Flock of 32 Rhombic Triacontahedra
 A Flock of Rhombicosidodecahedra
 It’s a Party in America . . . Tax Refunds Arrived!
 Op Art on a Dodecahedron
 Cyclops
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
 230,463 hits
Tag Archives: Mathematics
Augmenting the Octahedron with Octahedra, Repeatedly.
This is an octahedron. If you augment each face of an octahedron with more octahedra, you end up with this. One can then augment each triangular face of this with yet more octahedra. Here’s the next iteration: This could, of … Continue reading
Posted in Mathematics
Tagged augment, augmentation, augmented, geometry, Mathematics, octahedra, octahedron, polyehdral, polyhedra, polyhedron
1 Comment
Two Polyhedra, Each Featuring Enneagons and Octagons
I used Stella 4d: Polyhedron Navigator to make these. You can try it for yourself at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged enneagon, geometry, Mathematics, nonagon, octagon, polyhedra, polyhedron
Leave a comment
A Flock of 32 Rhombic Triacontahedra
Software used: Stella 4d, available at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombic, triacontahedra, triacontahedron
Leave a comment
A Flock of Rhombicosidodecahedra
It’s a littleknown fact that rhombicosidodecahedra prefer to fly in flocks of sixty, as seen here. I made this using Stella 4d, available at this website.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombicosidodecahedra, rhombicosidodecahedron
Leave a comment
Op Art on a Dodecahedron
I used Geometer’s Sketchpad and MSPaint to make the designs on the faces, and then assembled the dodecahedron with Stella 4d, a program you may try here.
Posted in Art, Mathematics
Tagged Art, circle, dodecahedron, geometry, Mathematics, op, polyhedra, polyhedron
1 Comment
A Great Rhombicosidodecahedron Inspired By David Bowie, As Ziggy Stardust
I made this with Stella 4d, which you can try for yourself at this website.
Cluster of Six Rhombicosidodecahedra
To make this cluster, start with a cuboctahedron, then augment each of its square faces with rhombicosidodecahedra. Although the cuboctahedron has cuboctahedral symmetry, this cluster does not — rather, it has tetrahedral symmetry. I created this using Stella 4d, which … Continue reading
Posted in Mathematics
Tagged cluster, geometry, Mathematics, polyhedra, polyhedral, polyhedron, rhombicosidodecahedra, rhombicosidodecahedron
Leave a comment