Search
Subject Categories:
 Art (469)
 Asperger's (32)
 Blogging (11)
 China and the Han (9)
 eBay (3)
 Education (94)
 Fiction (29)
 Geography (27)
 History (39)
 Humor (53)
 Life (366)
 Mandalas (127)
 Mathematics (1,312)
 Mental Health (75)
 Music (45)
 Mysteries (16)
 Politics (124)
 Quotations (65)
 Religion (60)
 Satire (12)
 Science and Scientists (121)
 Follow RobertLovesPi.net on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 A Polyhedron with Isosceles Trapezoids and Regular Pentagons as Faces
 Seeing Red
 A Nonconvex, Pyritohedral Dodecahedron with Nonconvex Pentagonal Faces
 My 2019 Birthday Star
 A 50Faced Symmetrohedron with Cuboctahedral Symmetry
 Zonohedra Based on the Pentagonal Dipyramid
 A Symmetrohedron with Tetrahedral Symmetry
 A Compound of a SlightlyTruncated Icosahedron and the Rhombic Triacontahedron
 41 Dodecahedra
 Stellar Array
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
 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
 zonohedra
 zonohedron
Hit Counter
 377,600 hits
Tag Archives: expanded
An Expansion of the Rhombicosidodecahedron
This expanded version of the rhombicosidodecahedron has, as faces, 30 rhombi, 60 almostsquare trapezoids, twelve regular pentagons, and twenty equilateral triangles, for a total of 122 faces. I made it using Stella 4d, software you may try for free at … Continue reading →
Posted in Mathematics

Tagged expanded, expansion, geometry, Mathematics, polyhedra, polyhedron, rhombicosidodecahedron

Leave a comment
An Expanded Version of the Snub Cube
To make this polyhedron, I started with a snub cube. Next, I augmented all triangular faces of it with prisms, then took the convex hull of the result. Finally, I used Stella 4d‘s “try to make faces regular” function on the … Continue reading →
Posted in Mathematics

Tagged expanded, geometry, Mathematics, polyhedra, polyhedron, snub cube

Leave a comment
A Twisted Expansion of the Truncated Octahedron
I made this variant of the truncated octahedron using Stella 4d: Polyhedron Navigator. You may try this program for free at http://www.software3d.com/Stella.php.
Posted in Mathematics

Tagged expanded, geometry, Mathematics, polyhedra, polyhedron, truncated octahedron, twist, twisted

1 Comment
An Expanded Snub Dodecahedron
To make this polyhedron, I started with a snub dodecahedron. Next, I augmented all triangular faces of it with prisms, then took the convex hull of the result. Finally, I used Stella 4d‘s “try to make faces regular” function on … Continue reading →
Posted in Mathematics

Tagged expanded, geometry, Mathematics, polyhedra, polyhedron, snub dodecahedron

Leave a comment
A Polyhedral Journey, Beginning With an Expansion of the Rhombic Triacontahedron
The blue figure below is the rhombic triacontahedron. It has thirty identical faces, and is one of the Catalan solids, also known as Archimedean duals. This particular Catalan solid’s dual is the icosidodecahedron. I use a program called Stella 4d … Continue reading →
Posted in Mathematics

Tagged convex hull, dual, expand, expanded, expanding, expansion, geometry, Mathematics, polyhedra, polyhedral, polyhedron, rhombic triacontahedron

Leave a comment
Two Different Versions of an Expanded Snub Dodecahedron, Both of Which Feature Regular Decagons
The snub dodecahedron, one of the Archimedean solids, can be expanded in multiple ways, two of which are shown below. In each of these expanded versions, regular decagons replace each of the twelve regular pentagons of a snub dodecahedron. Like … Continue reading →
Posted in Mathematics

Tagged chiral, compound, enantiomorphic pair, expanded, geometry, Mathematics, mirror image, polyhedra, polyhedron, reflection, snub dodecahedron

Leave a comment