Search
Subject Categories:
 Art (433)
 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 (1,196)
 Mental Health (72)
 Music (43)
 Mysteries (16)
 Politics (116)
 Quotations (64)
 Religion (58)
 Satire (9)
 Science and Scientists (120)
 Follow RobertLovesPi's Blog on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 The Moon Unit Proposal
 Four Polyhedra Featuring Enneagons
 Throwing Star Tessellation
 Tessellation of Triangles and Pentagons
 The C320 Fullerene Polyhedron
 The Construction of a Zome Model of a 240Atom Fullerene Molecule, In Seven Pictures
 A Faceting of the Rhombcuboctahedron
 The Truncated Stella Octangula
 Tiles
 Black, White, and Red
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
 256,095 hits
Tag Archives: dodecahedron
Creating a New Polyhedron from the Snub Dodecahedron
Shown below are the snub dodecahedron and its dual, the pentagonal hexecontahedron. Seeking a way to make a “new” polyhedron (one never seen before), I augmented each face of the orange dual, above, with prisms. These prisms have a height … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, snub
2 Comments
Selected Stellations of the Truncated Dodecahedron
This is the truncated dodecahedron. It is one of the Archimedean solids. This polyhedron has a long stellationseries, from which I selected several on aesthetic grounds. The figure immediately below is the truncated dodecahedron’s 16th stellation. Here is the 21st … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, stellated, stellation, truncated
Leave a comment
A Rhombic Dodecahedron, Made of Icosahedra, and Tall Triangular Antiprisms
Software used: Stella 4d, available at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, rhombic
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 Dozen Pulsating Dodecahedra
To make this using Stella 4d (available here) I started with an icosahedron, placed a dodecahedron on each of its vertices, then rendered the central icosahedron invisible. The slight pulsating effect is caused by the program fitting the polyhedra tightly … Continue reading
Posted in Art, Mathematics
Tagged Art, dodecahedra, dodecahedron, dozen, geometric, geometrical, geometry, mathematical, Mathematics
Leave a comment
The Dodecahedron, Made from Smaller Polyhedra
The polyhedra at the vertices are rhombic triacontahedra, and the yellow edges are elongated rhombic prisms. This was made using Stella 4d, software you may try for free at this website.
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron
Leave a comment
Four Sets of Five Circles On Each of the Faces of a Dodecahedron
After using Geometer’s Sketchpad and MSPaint to make the image on the faces (seen alone in the last post), I then used Stella 4d: Polyhedron Navigator to project these images onto a red dodecahedron, and create this .gif. Stella is … Continue reading
Posted in Art, Mathematics
Tagged Art, dodecahedron, geometric, geometrical, geometry, mathematical, Mathematics, polyhedra, polyhedron
4 Comments