Archivos Nasa Cúpulas Geodésicas
Report
No.
2.
Government
Accession
No.
3.
Recipient's
Catalog
No.
NASA
CR-1734
5. Report Date
Title ndSubtitle ADVANCED a STRUCTURAL GEOMETRY STUDIES PART I - POLYHEDRAL SUBDIVISION CONCEPTS FOR STRUCTURAL APPLICATIONS Joseph
Organization Name and
September
6. Performing
1971
Code
Organiza:tion
7. Author(s)
9. Performing
D. ClintonAddress
8.
Performing
Organization
Report
No.
10.
Work
Unit
No.
Southern Illinois University Carbondale, Illinois
11.
Contract
,or Gran.J No.
NGR-14-O0_-O02
13. Type of Report and Period Covered
12.
Sponsoring
Agency
Name
and Address
Contractor Space Administration
14. Sponsoring Agency
Report
National Aeronautics andWashington, D. C. 20546
Code
15.
Supplementary
Notes
16.
Abstract
A study leading to the formulation of computer-oriented mathematical models pertaining to methods of subdividing polyhedra into triangulated spherical space frames. The models perform the truncations and transformations of the polyhedral forms and calculate the geometrical properties of the generated space frames(spheres, hemispheres, and domes).
17.
Key
Words
(Selected
by Author(s))
18.
Distribution
Statement
Geodesic Structural Polyhedral Structural
19. Security Classif.
Domes Domes Subdivision Spheres,
(of this report)
Unclassified
- unlimited
Spaceframes
20. Security Classif. (of this page) 21. No. of Pages 22. Price
Unclassified
Unclassified
iii
$3.00For sale by the National Technical Information
Service, Springfield,
Virginia
22151
FOREWORD
This
final
report at under
was
prepared Illinois Contract the NASA NGR
by
the
School
of Carbondale, The contract Research
Technology Illinois was and
Southern NASA by
University, 14-008-002. of
administered Technology.
Office
Advanced
PersonnelJulian Clinton, research Michael Richard H.
participating Lauchner, prime
in principal
the
research investigator; R. Buckminster Ann B. C.
included: Joseph Fuller, Garrison, and D.
investigator; Wayne Allen
consultant; Keeling, M. Moeller,
Boo%h, Mark
Kilty,
Mabee,
computer
programmers.
iii
PART
I
POLYHEDRAL FOB
SUBDIVISION STRUCTURAL
CONCEPTSAPPLICATIONS
i.i
Introduction
.............
1-2
1.2
Polyhedron
..............
1-7
1.3
Structural
Orientation
........
I-ll
1.4
Definitions
.............
1-16
1.5
Method
of
Subdivision
........
1-18
1.6
Method
1
...............
1-36
1.7
Methods
2
&
3
............
1-76
1.8
Methods
4&
5
............
1-145
1.9
Methods
6
&
7
............
1-185
v
Computer Software and Information
Management Center
The documentation and program advanced structural geometry made available to the public
developed for the studies will be through COSMIC.
COSMIC (Computer Software Management and Information Center) was established early in 1966 at theUniversity of Georgia to collect and disseminate to the public computer software developed by government agencies. Since that time thousands of computer programs in all areas of aerospace engineering, mathematics, business, and industry have been distributed to requesters throughout the United States. The Technology Utilization Division of NASA, designed to enlarge the return on the publicinvestment in aeronautical and space activities, was the first government agency to participate formally. _In July 1968 the Atomic Energy Commission and in November 1968 the Department of Defense joined in the COSMIC endeavor. With the addition of these two major agencies, the original concept of making taxpaid developments available to the public was expanded to make COSMIC a transfer point between...
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