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 (1,198)
 Mental Health (72)
 Music (43)
 Mysteries (16)
 Politics (116)
 Quotations (64)
 Religion (58)
 Satire (9)
 Science and Scientists (120)
 Follow RobertLovesPi.net on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 Seven Rainbow Polyhedra
 Two Polyhedra Featuring Regular Pentadecagons
 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
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
 256,777 hits
Tag Archives: faceted
A Faceting of the Rhombcuboctahedron
This particular faceting of the rhombcuboctahedron can also be viewed as a cluster of stella octangulae. I made it using Stella 4d, polyhedronmanipulating software you can try, for yourself, at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged facet, faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, rhombcuboctahedron, rhombicuboctahedron, stella octangula
Leave a comment
A Faceted Great Rhombcuboctahedron
Some prefer to call the great rhombcuboctahedron the “truncated cuboctahedron,” instead. Whichever term you prefer, this is a faceted version of that Archimedean solid. I made it using Stella 4d: Polyhedron Navigator, software you may find here.
Posted in Mathematics
Tagged faceted, geometry, great, Mathematics, polyhedra, polyhedron, rhombcuboctahedron, truncated cuboctahedron
Leave a comment
A Hollow Faceting of the Rhombicosidodecahedron, and Its Hollow Dual
The images above all show a particular faceting of the rhombicosidodecahedron which, to my surprise, is hollow. It has the vertices of a rhombicosidodecahedron, but two different facetypes, as seen in the smaller pictures: yellow hexagons, and red isosceles trapezoids. … Continue reading
Posted in Mathematics
Tagged faceted, faceting, geometry, hollow, Mathematics, polyhedra, polyhedron, puzzle
Leave a comment
Standard and Faceted Versions, Side by Side, of Each of the Thirteen Archimedean Solids
These two polyhedra are the truncated tetrahedron on the left, plus at least one faceted version of that same Archimedean solid on the right. As you can see, in each case, the figures have the same set of vertices — … Continue reading
Posted in Mathematics
Tagged Archimedean, chiral, chirality, compound, facet, faceted, faceting, geometry, Mathematics, polyhedra, polyhedral, polyhedron, solid
1 Comment
Five Faceted Polyhedra
Above, on the left, is a faceted cuboctahedron. To its right are a faceted snub dodecahedron (upper right) which is also a tenpart compound, and a faceted truncated cube below that. Any of these images may be enlarged by clicking … Continue reading
Posted in Mathematics
Tagged faceted, faceting, geometry, Mathematics, polyhedra, polyhedron
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