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
 270,013 hits
Tag Archives: facet
A Faceted Truncated Icosahedron
This is one of many possible facetings of the truncated icosahedron. I made it using Stella 4d, which you can try for yourself at this website: http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged facet, faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, truncated icosahedron
Leave a comment
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
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
A Compound of Ten Elongated Octahedra Which Is Also a Particular Faceting of the Rhombicosidodecahedron, Together with Its Dual
Thinking about the post immediately before this one led me to see if I could connect opposite triangular faces of a rhombicosidodecahedron to form a tenpart compound — and it worked with Stella 4d just as it had when I … Continue reading
Posted in Mathematics
Tagged 10, compound, dual, elongated, facet, faceted, faceting, geometry, Mathematics, octahedra, polyhedra, polyhedron, rhombicosidodecahedron, ten
Leave a comment
One of Many Possible Facetings of the Rhombic Triacontahedron
The simplest way I can explain faceting is that it takes a familiar polyhedron’s vertices, and then connects them in unusual ways, so that you obtain different edges and faces. If you take the convex hull of a faceted polyhedron, … Continue reading
Posted in Mathematics
Tagged facet, faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, rhombic triacontahedron
Leave a comment
Four Different Facetings of the Great Rhombcuboctahedron
All four of these rotating images were created using software called Stella 4d: Polyhedron Navigator. You can buy this program, or try it for free, at this website. Faceting is the inverse function of stellation, and involves connecting the vertices … Continue reading
Posted in Mathematics
Tagged facet, faceted, faceting, geometry, great, icosidodecahedron, Mathematics, polyhedra, polyhedron, rhombcuboctahedron, rhombicuboctahedron, truncated
Leave a comment
There Are Many Faceted Versions of the Dodecahedron. This One Is the Dual of the Third Stellation of the Icosahedron.
The twelve purple faces of this faceted dodecahedron show up on Stella 4d‘s control interface as {10/4} star decagons, which would make them each have five pairs of two coincident vertices. I’m informally naming this special decagonthatlookslikeapentagram (or “star pentagon,” … Continue reading
Posted in Mathematics
Tagged antipentagram, decagon, dodecahedron, dual, facet, faceted, faceting, geometry, icosahedron, Mathematics, pentagram, polyhedra, polyhedron, star decagon, stellation, Third, {10/4}
Leave a comment