Search
Subject Categories:
 Art (449)
 Asperger's (32)
 Blogging (11)
 China and the Han (9)
 eBay (3)
 Education (92)
 Fiction (28)
 Geography (27)
 History (37)
 Humor (47)
 Life (358)
 Mandalas (122)
 Mathematics (1,244)
 Mental Health (72)
 Music (43)
 Mysteries (16)
 Politics (120)
 Quotations (64)
 Religion (58)
 Satire (12)
 Science and Scientists (120)
 Follow RobertLovesPi.net on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 Four Polyhedra Featuring Heptagons
 A Pyritohedral, Stellated Polyhedron, and Its Convex Hull
 A Chiral Polyhedron Made of Kites and Triangles, Along with Its Dual, Made of Triangles and Isosceles Trapezoids
 Compelling Reading, I’m Sure, from Facebook
 The Liebster Award for Blogging
 A Second Type of Double Icosahedron, and Related Polyhedra
 Augmenting, and Then Reaugmenting, the Icosahedron, with Icosahedra
 The Double Icosahedron, and Some of Its “Relatives”
 Two Excellent Mathematical Websites
 The Compound of the Octahedron and the Small Stellated Dodecahedron
Explore RobertLovesPi By Topic
 Arkansas
 Art
 Asperger's
 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
 nonagon
 octagon
 octahedron
 op art
 pentagon
 physics
 politics
 polygon
 polyhedra
 polyhedral
 polyhedron
 president
 quotation
 quote
 religion
 rhombi
 rhombic dodecahedron
 rhombicosidodecahedron
 rhombic triacontahedron
 rhombus
 school
 science
 snub dodecahedron
 star
 stellated
 stellation
 symmetry
 tessellation
 tetrahedron
 tiling
 triangle
 Trump
 truncated icosahedron
 USA
 words
 zonohedron
Hit Counter
 335,015 hits
Tag Archives: icosidodecahedron
Using Rhombic Triacontahedra to Build an Icosidodecahedron
These two polyhedra are the icosidodecahedron (left), and its dual, the rhombic triacontahedron (right). One nice thing about these two polyhedra is that one of them, the rhombic triacontahedron, can be used repeatedly, as a buildingblock, to build the other … Continue reading
Posted in Mathematics
Tagged geometry, icosidodecahedron, Mathematics, polyhedra, polyhedron, rhombic triacontahedra, rhombic triacontahedron
1 Comment
A Variant of the Icosidodecahedron Featuring Four Hexagons
This was made using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, hexagon, icosidodecahedron, Mathematics, polyhedra, polyhedron
Leave a comment
Pluto and Charon, Adorning an Icosidodecahedron
Images obtained by NASA’s New Horizons space probe. Geometrical rendering done using Stella 4d, available at http://www.software3d.com/Stella.php.
Posted in Art, Mathematics, Science and Scientists
Tagged astronomy, Charon, geometry, icosidodecahedron, New Horizons, Pluto, polyhedra, polyhedron
1 Comment
Three Views of a Rotating Cluster of 33 Icosidodecahedra
To make these three rotating clusterpolyhedra, I started with one icosidodecahedron in the center, then augmented each of its 32 faces with overlapping, additional icosidodecahedra, for a total of 33 icosidodecahedra per cluster. In the first image, only two colors are … Continue reading
Posted in Mathematics
Tagged cluster, geometry, icosidodecahedra, icosidodecahedral, icosidodecahedron, Mathematics, polyhedra, polyhedral, polyhedron
2 Comments
On Polyhedral Augmentation and Excavation
I have made many posts here using polyhedral augmentation, but what I haven’t done — yet — is explain it. I have also neglected the reciprocal function of augmentation, which is called excavation. It is now time to fix both … Continue reading
Posted in Mathematics
Tagged augmentation, cluster, excavation, geometry, icosahedron, icosidodecahedron, Mathematics, polyhedra, polyhedral, polyhedron, reciprocal, solid
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