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Issue No.06 - Nov.-Dec. (2012 vol.14)
pp: 76-79
D. P. O'Leary , Appl. Math. Program, Univ. of Maryland, College Park, MD, USA
ABSTRACT
In space travel and in other work environments where transporting equipment is expensive, it's important that every item be as lightweight and versatile as possible. Strong platforms can be built by using six beams to connect two triangles. Given the six beams' lengths, the problem is to determine how many unique platforms can be constructed from them and the two given triangles. This Web extra contains the Matlab file that generates a rotatable image.
INDEX TERMS
computational geometry, rotatable image generation, variable-geometry truss, six-beam-based platforms, triangles, Matlab file, Polynomials, Nonlinear equations, Geometry, MATLAB, Standards, Scientific computing, scientific computing, variable-geometry trusses, geometric homotopy
CITATION
D. P. O'Leary, "Variable-Geometry Trusses: What's Your Angle?", Computing in Science & Engineering, vol.14, no. 6, pp. 76-79, Nov.-Dec. 2012, doi:10.1109/MCSE.2012.93
REFERENCES
1. D.P. O'Leary, Scientific Computing with Case Studies, SIAM Press, 2009.
2. V. Arun, “The Solution of Variable-Geometry Truss Problems Using New Homotopy Continuation Methods,” PhD thesis, Mechanical Eng. Dept., Virginia Polytechnic Inst. and State Univ., Sept. 1990.
3. V. Arun, C.F. Reinholtz, and L.T. Watson, “Application of New Homotopy Continuation Techniques to Variable Geometry Trusses,” J. Mechanical Design, vol. 114, no. 3, 1992, pp. 422–427.
4. A. Morgan, Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems, Prentice Hall, 1987.
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