Skip to primary content
Skip to secondary content

RobertLovesPi.net

Polyhedra, tessellations, and more.

Main menu

  • Home
  • About RobertLovesPi
  • Copyright-Free Notice
  • Disclaimers
  • Note Re: Images Here
  • Tip Jar

Daily Archives: 3 December 2017

A Miscellany of Polyhedra with Icosidodecahedral Symmetry

Posted on 3 December 2017 by RobertLovesPi
2

20 at 5 and 60 at 5 and 20 at 6 and 60 at 7242 faces mostly quadsConvex hull bstarballAll quads 240 facesAugmented DisdyakistriacontaConvex hull with 12 reg icosagonsConvex hulldecagons enneagons bowtie trapezoids stellated several timesDual of Convex hullashgdfasfdual of polyhedron with 12 pentadecagonsDual of Unnamed DualFaceted Dodeca duAL OF FIRST STELLATION OF ICOSAFaceted DodecaFaceted ICOSIDodecaHEDRAL POLYHEDRONStellated Convex hull 2Stellated Convex hullstellated Dual of Convex hullashgdfasfStellated Poly 4Stellated Poly 3.gifZonohedrified Poly.gifUnnamed Dual nc.gifZonohedrified Icosa.gif

All of these polyhedra were made using Stella 4d: Polyhedron Navigator. If you’d like to try this program yourself, simply visit http://www.software3d.com/Stella.php, where a free trial download is available.

Share this:

  • Share on Bluesky (Opens in new window) Bluesky
  • Email a link to a friend (Opens in new window) Email
  • Share on Facebook (Opens in new window) Facebook
  • Share on Mastodon (Opens in new window) Mastodon
  • Share on Nextdoor (Opens in new window) Nextdoor
  • Share on Pinterest (Opens in new window) Pinterest
  • Print (Opens in new window) Print
  • Share on Reddit (Opens in new window) Reddit
  • Share on Telegram (Opens in new window) Telegram
  • Share on Threads (Opens in new window) Threads
  • Share on Tumblr (Opens in new window) Tumblr
  • Share on WhatsApp (Opens in new window) WhatsApp
  • Share on X (Opens in new window) X
Like Loading...
Posted in Mathematics | Tagged geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry | 2 Replies

Search

Subject Categories:

  • Art (553)
  • artificial intelligence (2)
  • Asperger's (32)
  • Blogging (18)
  • China and the Han (8)
  • eBay (2)
  • Education (103)
  • Fiction (33)
  • Geography (32)
  • History (44)
  • Humor (78)
  • Life (445)
  • Mandalas (147)
  • Mathematics (2,131)
  • Mental Health (80)
  • Music (52)
  • Mysteries (22)
  • Politics (143)
  • Quotations (70)
  • Religion (62)
  • Satire (15)
  • Science and Scientists (134)
Follow RobertLovesPi.net on WordPress.com

Enter your email address to follow this blog and receive notifications of new posts by email.

Join 4,115 other subscribers

Most-Viewed Posts, Recently:

  • The 15-75-90 Triangle
    The 15-75-90 Triangle
  • A Half-Solved Mystery:  Rotating a Sine Wave
    A Half-Solved Mystery: Rotating a Sine Wave
  • Eight Kite-Rhombus Solids, Plus Five All-Kite Polyhedra -- the Convex Hulls of the Thirteen Archimedean-Catalan Compounds
    Eight Kite-Rhombus Solids, Plus Five All-Kite Polyhedra -- the Convex Hulls of the Thirteen Archimedean-Catalan Compounds
  • The Beginning of the Number Pi, in Binary Through Hexadecimal, etc.
    The Beginning of the Number Pi, in Binary Through Hexadecimal, etc.
  • An Unusual Tessellation Featuring Regular Hexagons, Equilateral Triangles, and Squares
    An Unusual Tessellation Featuring Regular Hexagons, Equilateral Triangles, and Squares
  • Want Some Really Big Numbers? Here Are the Zoogol and the Zoogolplex.
    Want Some Really Big Numbers? Here Are the Zoogol and the Zoogolplex.
  • How to Distinguish Between the Waxing and Waning Moon, At a Glance
    How to Distinguish Between the Waxing and Waning Moon, At a Glance
  • Earth's Oceans' and Continents' Relative Surface Areas, Analyzed, with Two Pie Charts
    Earth's Oceans' and Continents' Relative Surface Areas, Analyzed, with Two Pie Charts
  • Another Faceting of the Great Rhombicosidodecahedron
    Another Faceting of the Great Rhombicosidodecahedron
  • My Polyhedral Nemesis:  The Great Icosahedron
    My Polyhedral Nemesis: The Great Icosahedron
December 2017
S M T W T F S
 12
3456789
10111213141516
17181920212223
24252627282930
31  
« Nov   Jan »

Recent Posts

  • A Rotating Zonohedron
  • A Modified Square Antiprism with Pentagons as Lateral Faces
  • An Enneahedron
  • A Compound of Two Square-Based Pyramids
  • Seven Polyhedra with Eightfold Dihedral Symmetry, Starting with the Octagonal Antiprism
  • A Quotation, from Horace Mann
  • Four Polyhedra, Each With Seven-Fold Dihedral Symmetry
  • Mandala Ten
  • Two Views of a Paper Model of an Icosidodecahedron
  • Two Views of a Paper Model of the Great Dodecahedron

Explore RobertLovesPi By Topic

  • Arkansas
  • Art
  • Asperger's
  • astronomy
  • chiral
  • circle
  • cluster
  • compound
  • cube
  • cuboctahedron
  • dodecagon
  • dodecahedron
  • dual
  • Education
  • enneagon
  • facet
  • faceted
  • faceting
  • geometric
  • geometrical
  • geometrical art
  • geometry
  • Golden Ratio
  • heptagon
  • hexagon
  • Humor
  • icosahedron
  • icosidodecahedron
  • kite
  • life
  • mandala
  • mandalas
  • math
  • mathematical
  • mathematical art
  • Mathematics
  • music
  • nonagon
  • octagon
  • octahedron
  • op art
  • pentagon
  • politics
  • polygon
  • polyhedra
  • polyhedral
  • polyhedron
  • president
  • quotation
  • quote
  • religion
  • rhombi
  • rhombic dodecahedron
  • rhombicosidodecahedron
  • rhombic triacontahedron
  • rhombus
  • school
  • science
  • snub dodecahedron
  • star
  • stellated
  • stellation
  • symmetrohedra
  • symmetrohedron
  • symmetry
  • tessellation
  • tetrahedron
  • tiling
  • triangle
  • Trump
  • truncated
  • truncated icosahedron
  • Zome
  • zonohedra
  • zonohedron

Hit Counter

  • 1,061,673 hits
Create a website or blog at WordPress.com
  • Subscribe Subscribed
    • RobertLovesPi.net
    • Join 964 other subscribers
    • Already have a WordPress.com account? Log in now.
    • RobertLovesPi.net
    • Subscribe Subscribed
    • Sign up
    • Log in
    • Report this content
    • View site in Reader
    • Manage subscriptions
    • Collapse this bar
 

Loading Comments...
 

    %d