Search
Subject Categories:
 Art (449)
 Asperger's (32)
 Blogging (10)
 China and the Han (9)
 eBay (3)
 Education (92)
 Fiction (28)
 Geography (27)
 History (37)
 Humor (46)
 Life (358)
 Mandalas (122)
 Mathematics (1,239)
 Mental Health (72)
 Music (43)
 Mysteries (16)
 Politics (120)
 Quotations (64)
 Religion (58)
 Satire (11)
 Science and Scientists (120)
 Follow RobertLovesPi.net on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 The Double Icosahedron, and Some of Its “Relatives”
 Two Excellent Mathematical Websites
 The Compound of the Octahedron and the Small Stellated Dodecahedron
 A Zoo of Zonohedra
 Seven Different Facetings of the Truncated Icosahedron
 Four Symmetrohedra
 Some TenPart Polyhedral Compounds
 Augmenting the Dodecahedron with Great Dodecahedra
 Using Rhombic Triacontahedra to Build an Icosidodecahedron
 Augmenting the Icosahedron with Great Icosahedra
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
 328,635 hits
Tag Archives: symmetrohedron
Four Symmetrohedra
Symmetrohedra are polyhedra with some form of polyhedral symmetry, all faces convex, and many (but not all) faces regular. Here are four I have found using Stella 4d, a polyhedronmanipulation program you can try for yourself at http://www.software3d.com/Stella.php. The second … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, symmetrohedra, symmetrohedron
Leave a comment
A Symmetrohedron with 74 Faces
Symmetrohedra have many regular faces, but irregular faces are allowed in them as well. The octagons, hexagons, and squares in this polyhedron are regular, but the 48 triangles are scalene. Here’s what it looks like with these triangles rendered invisible: … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, symmetrohedra, symmetrohedron
Leave a comment
Three Convex Polyhedra with Tetrahedral Symmetry, Each Featuring Four Regular Enneagons
In addition to the four regular enneagons, the polyhedron above also has rhombi and isosceles triangles as faces. The next one, however, adds equilateral triangles, instead, to the four regular enneagons, along with trapezoids and rectangles. Only the last of … Continue reading
Posted in Mathematics
Tagged enneagon, geometry, Mathematics, nonagon, polyhedra, polyhedron, symmetrohedron, tetrahedral
1 Comment
The Second of Dave Smith’s “Bowtie” Polyhedral Discoveries, and Related Polyhedra
Dave Smith discovered the polyhedron in the last post here, shown below, with the faces hidden, to reveal how the edges appear on the back side of the figure, as it rotates. (Other views of it may be found here.) … Continue reading
Two Polyhedra Featuring Twenty Regular Octadecagons Each
The first of these two polyhedra also includes isosceles triangles, two types of isosceles trapezoids, and twelve regular pentagons. It is also possible to make a similar polyhedron where the twelve pentagons are replaced by regular decagons, but only by … Continue reading
Posted in Mathematics
Tagged 18gon, geometry, Mathematics, octadecagon, polyhedra, polyhedron, symmetrohedra, symmetrohedron
Leave a comment
A Symmetrohedron Featuring Regular Dodecagons, Regular Octagons, Isosceles Trapezoids, and Narrow Rectangles
I made this using Stella 4d, software available at http://www.software3d.com/Stella.php.
Two Symmetrohedra Featuring Regular Pentadecagons
I’ve posted “bowtie” symmetrohedra on this blog, before, which I thought I had discovered before anyone else — only to find, later, that other researchers had found the exact same polyhedra first. Those posts have now been edited to include … Continue reading