Accession Number:

AD0683553

Title:

HANDBOOK OF STRUCTURE PART I: POLYHEDRA AND SPHERES.

Descriptive Note:

Research Communication no. 75,

Corporate Author:

DOUGLAS AIRCRAFT CO INC HUNTINGTON BEACH CALIF ADVANCED RESEARCH LABS

Personal Author(s):

Report Date:

1968-10-01

Pagination or Media Count:

163.0

Abstract:

The work comprises the first part of a series of descriptive handbooks on geometry and structure. It contains basic information on the following 1 the five Platonic polyhedra, 13 Archimedian semi-regular polyhedra, and 13 Archimedian dual polyhedra 2 a method for comparing surface areas and volumes of polyhedra 3 a description of one system of basic subdivisions of the tetrahedron and the octahedron into smaller components 4 infinite packings of circles in two dimensions and infinite packings of spheres in three dimensions 5 polyhedra that may be defined by sphere packings 6 methods of packing polyhedra in various combinations to fill space 7 a method of accounting for volumes of polyhedra based on a tetrahedron with a normalized edge and a volume set at unity and 8 methods of physically deriving polyhedra by various operations folding the two dimensional net, creating the dual of a polyhedron, truncating the vertices and edges of a polyhedron, rotating and translating polygon faces from one position to another, and fusing and separating vertices of polyhedra.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE