Polyhedral Forms Obtained by Combinig Lateral Sheet of CP II-10 and Truncated Dodecahedron

Marija Obradovic*, Milena Stavric, Albert Wiltsche

*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikelBegutachtung


The paper analyzes the possibility of obtaining polyhedral shapes formed
by combining polyhedral surfaces based on the segment surface of
elongated concave pyramids of the second sort (CeP II-10, type A and type
B). In previous research, CP II type A and CP II type B were elaborated in
detail. In this paper we discuss further potential of these polyhedral
surfaces, on the example of combining them with Archimedean solid -
Truncated dodecahedron (U26). The faces of this solid consist of 12
decagons and 20 triangles. On the decagonal faces, decagonal polygons of
the CeP II segments ( CP II-10) can be added, which provides the new
polyhedral composite forms that are, furthermore, concave deltahedra.
There are considered possibilities of obtaining polyhedral shapes by
combining sheet segments CP II-10-A, as well as of CP II-10-B with
U26. Finally, a couple of new shape suggestions are given: compound
polyhedra, obtained by intersection of paired composite concave
polyhedra originated in the described manner
Seiten (von - bis)256-261
FachzeitschriftFME Transactions
Jahrgang 45
PublikationsstatusVeröffentlicht - 2017


  • concave polyhedra
  • composite polyhedra
  • augmentation
  • incavation


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