SEQUENCES OF SMOOTHED POLYGONS

Discrete Geometry: In Honor of W. Kuperberg's 60th Birthday

Volumn , Issue , 2003, Pages 407-430

  Shephard, G C ^a  

^a NONE   (United Kingdom)

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Indexed keywords

EID: 84863892847     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/9780203911211-31     Document Type: Chapter

References (12)

1. E. R. Berlekamp, E. N. Gilbert and F. W. Sinden, A polygon prob­lem, American Math. Monthly, 72 (1965), 233-241. Reprinted in Selected Pavers on Algebra, Mathematical Association of America, Washington, D.C., 1977.
2. J. H. Cadwell, A property of linear cyclic transformations, Math. Gazette, 37 (1953), 85-89.
3. J. H. Cadwell, Chapter 3 in Topics in Recreational Mathematics, Cam­bridge, 1966.
4. P. J. Davis, Circulant Matrices, Wiley-Interscience, New York, 1979.
5. G. Darboux, Sur un problème de géométrie élémentaire, Bull. Sci. Math., (2) 2 (1878), 298-304.
6. R. E. Huston, Solution to Problem 3547, American Math. Monthly, 184­-185.
7. E. Kasner, Centroidal polygons and groups, Scripta Math., 2 (1934), 131-138.
8. E. Kasner and G. Comenetz, Groups of multipoint transformations with application to polygons, Scripta Math., 4 (1936), 37-49.
9. M. Rosenman, Problem 3547, American Math. Monthly, 39 (1932), 239.
10. I. J. Schoenberg, The finite Fourier series and elementary geometry, American Math. Monthly, 57 (1950), 390-404.
11. I. J. Schoenberg, The harmonic analysis of skew polygons as a source of outdoor sculptures, in The Geometric Vein: the Coxeter Festschrift, pp. 165-176, Springer, New York, 1981.
12. I. J. Schoenberg, The harmonic analysis of skew polygons as source of outdoor sculptures, Chapter 9 in Mathematical Time Exposures, Math. Association of America, Washington D.C., 1982.