Search
Subject Categories:
 Art (416)
 Asperger's (32)
 Blogging (9)
 China and the Han (9)
 eBay (3)
 Education (87)
 Fiction (27)
 Geography (26)
 History (36)
 Humor (41)
 Life (347)
 Mandalas (118)
 Mathematics (1,157)
 Mental Health (69)
 Music (41)
 Mysteries (12)
 Politics (105)
 Quotations (62)
 Religion (58)
 Satire (7)
 Science and Scientists (112)
 Follow RobertLovesPi's Blog on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 A Polyhedron Made of Lightning Bolts and Triskelions
 A Political Cartoon
 Donald Trump, the Expert
 Six Zonohedra
 A Polyhedron Featuring 42 Regular Decagons
 Pluto and Charon, Adorning an Icosidodecahedron
 Polyhedral Radiation Symbol
 A Compound of Two Stellated Polyhedra
 The Complete List of Things to Like about Donald Trump
 Polyhedron with 152 Faces, Including 60 Heptagons
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
 216,730 hits
Tag Archives: chiral
A Chiral Polyhedron with Tetrahedral Symmetry
The yellow faces of this polyhedron are parallelograms, while the red ones are trapezoids. To demonstrate its chirality, here is the compound of it, and its own mirrorimage. Both of these “virtual polyhedra” were made using Stella 4d: Polyhedron Navigator, … Continue reading
Posted in Mathematics
Tagged chiral, chirality, compound, geometry, Mathematics, polyhedra, polyhedron
Leave a comment
A Second ColoringScheme for the Chiral Tetrated Dodecahedron
For detailed information on this newlydiscovered polyhedron, which is near (or possibly in) the “fuzzy” borderzone between the “nearmisses” (irregularities real, but not visually apparent) and “nearnearmisses” (irregularities barely visible, but there they are) to the Johnson solids, please see … Continue reading
The Chiral Tetrated Dodecahedron: A New NearMiss?
The images above show a new nearmiss (to the Johnson solids) candidate I just found using Stella 4d, software you can try here. Like the original tetrated dodecahedron (a recognized nearmiss shown at left, below), making this polyhedron relies on … Continue reading
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
Eight Chiral Polyhedra with Icosidodecahedral Symmetry
To see a larger version of any rotating model, simply click on it. Each of these polyhedral images was created using a program called Stella 4d, which is available here.
Posted in Mathematics
Tagged chiral, geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
Leave a comment
47 Polyhedra with Tetrahedral Symmetry, Some of Them Chiral
To enlarge any individual image, simply click on it. These polyhedral images were created using Stella 4d: Polyhedron Navigator, a program you can find at http://www.software3d.com/Stella.php, with a free trial download available.
Posted in Mathematics
Tagged chiral, geometry, Mathematics, polyhedra, polyhedron, symmetry, tetrahedral
1 Comment
Tessellation Featuring Regular Pentagons and Regular Pentadecagons
Other polygons included in this tessellation include several types of rhombi, as well as triconcave octadecagons. The pattern is chiral, but the chirality is subtle. (Hint: look near the pentagons.)
Posted in Mathematics
Tagged chiral, geometry, math, Mathematics, pentadecagon, pentagon, tessellation, tiling
Leave a comment