About: Creased Platonic Deltahedra   Sponge Permalink

An Entity of Type : owl:Thing, within Data Space : 134.155.108.49:8890 associated with source dataset(s)

You can make families of large Platonic solids with triangular faces (deltahedra), made sturdy by `creasing' their edges to become dome-like. The shapes that results are all deltahedra, and although the principles of construction are similar, very few are Lobel frames (presumably since they cannot be cut in a straight manner to make them architecturally interesting). There are three parameters to each family member: The sum of those last two parameters determines the edge length of the result.

AttributesValues
rdfs:label
  • Creased Platonic Deltahedra
rdfs:comment
  • You can make families of large Platonic solids with triangular faces (deltahedra), made sturdy by `creasing' their edges to become dome-like. The shapes that results are all deltahedra, and although the principles of construction are similar, very few are Lobel frames (presumably since they cannot be cut in a straight manner to make them architecturally interesting). There are three parameters to each family member: The sum of those last two parameters determines the edge length of the result.
Rods
  • 3(xsd:integer)
dcterms:subject
PageTitle
  • Creased Platonic Deltahedra
filename
  • Cpp_5_2_2_s.JPG
Type
dbkwik:geomag/prop...iPageUsesTemplate
Author
  • --08-30
Title
  • Creased Platonic Deltahedra
Spheres
  • 2(xsd:integer)
abstract
  • You can make families of large Platonic solids with triangular faces (deltahedra), made sturdy by `creasing' their edges to become dome-like. The shapes that results are all deltahedra, and although the principles of construction are similar, very few are Lobel frames (presumably since they cannot be cut in a straight manner to make them architecturally interesting). There are three parameters to each family member: 1. * the type of basic Platonic deltahedron: tetrahedron, octahedron or icosahedron (and even the dihedron makes sense) 2. * the size of a pyramid at the vertex (see building instructions) 3. * the size of the triangular face (see building instructions) The sum of those last two parameters determines the edge length of the result. Here are some family shots, for the notation see the building instructions. Image:Cpp_v_1_f_s.JPG|(v,1,f) family Image:Cpp_2_p_f_s.JPG|(2,p,f) dihedron family
Alternative Linked Data Views: ODE     Raw Data in: CXML | CSV | RDF ( N-Triples N3/Turtle JSON XML ) | OData ( Atom JSON ) | Microdata ( JSON HTML) | JSON-LD    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3217, on Linux (x86_64-pc-linux-gnu), Standard Edition
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2012 OpenLink Software