Amafirlian (talk | contribs) m (New page: {{Geomag-construction|PageTitle={{subst:PAGENAME}}|Title={{subst:PAGENAME}}|Filename=Rhombic triacontahedron near miss.jpg|Caption= |Type=Near Miss |Triangles=|Squa...) |
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|Triangles=|Squares=|Pentagons=|Rhombic=|Rods=60+90|Spheres=32|Author=[[User:Amafirlian|Amafirlian]] 00:58, 9 August 2007 (UTC)}} |
|Triangles=|Squares=|Pentagons=|Rhombic=|Rods=60+90|Spheres=32|Author=[[User:Amafirlian|Amafirlian]] 00:58, 9 August 2007 (UTC)}} |
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| − | This support structure is amazingly close. It consists of [[Five Intersecting Tetrahedra|five intersecting tetrahedra]], connected to the spheres in the rhombic triacontahedron with valency 3. |
+ | This support structure is amazingly close. It consists of [[Five Intersecting Tetrahedra|five intersecting tetrahedra]], connected to the spheres in the rhombic triacontahedron with valency 3. The size of the edges of the tetrahedra is 3 rods. |
== Building Instructions == |
== Building Instructions == |
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# Complete the upper halve of the rhombic triacontahedron. |
# Complete the upper halve of the rhombic triacontahedron. |
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# Put in the remaining support rods. |
# Put in the remaining support rods. |
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| + | * This construction method also provides the easiest way of building the [[Five Intersecting Tetrahedra|five intersecting tetrahedra]]! |
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{{clr}} |
{{clr}} |
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Revision as of 01:03, 9 August 2007
| Rhombic Triacontahedron Near Miss | |
 ' | |
| Type | Near Miss |
| Rods | 60+90 × 
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| Spheres | 32 × 
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| Author | Amafirlian 00:58, 9 August 2007 (UTC) |
This support structure is amazingly close. It consists of five intersecting tetrahedra, connected to the spheres in the rhombic triacontahedron with valency 3. The size of the edges of the tetrahedra is 3 rods.
Building Instructions
- Build the lower halve of the rhombic triacontahedron.
- Start putting support rods in (3 connected rods).
- Basically it suffices to connect one side to a sphere of valency 3, and see to which sphere of valency 3 the other side leads you.
- Also keep a look out for the five intersecting tetrahedra that develop.
- Complete the upper halve of the rhombic triacontahedron.
- Put in the remaining support rods.
- This construction method also provides the easiest way of building the five intersecting tetrahedra!
Different Views
View on a sphere with valency 5
View on a sphere with valency 5
Closeup of the support structure behind a sphere with valency 5
Closeup of the support structure after removal of a sphere with valency 5