publications Thesis: Target Foil Motion W.C.Corwin Nuclear Instruments and Methods Vol. 136, p. 41, 1976 ${}^{37}\mathrm{Cl}{(}^{3}\mathrm{He,p)}{}^{39}\mathrm{Ar}$ Reaction W.C.Corwin and R.E.Segel Physical Review C Vol. 15, p. 505, Feb. 1977 Low-Lying States in ${}^{39}\mathrm{Ar}$ from the ${}^{37}\mathrm{Cl}(\mathrm{\alpha ,d)}{}^{39}\mathrm{Ar}$ Reaction J.F.Tonn, R.E.Segel, W.C.Corwin, and L.R.Rutledge, Jr. Physical Review C Vol. 16, p. 2065, Nov. 1977 Written Reports: Internal Friction in $\mathrm{Zr}{O}_{2}$ Containing CaO J.B.Wachtman,Jr., and W.C.Corwin Journal of research of the National Bureau of Standards Physics and Chemistry, Vol. 68A, No.5, Sept.-Oct. 1965 Signal Transmission Line with Low Attenuation and Wide Frequency Passband K.Porges, W.Corwin, L.Burkel, and E.Lewandowski The Review of Scientific Instruments, Vol.41, No.1, 138-139, Jan.1970 Passive Splitters for Fast Pulse Processing W.Corwin and K.G.Porges Nuclear Instruments and Methods 85(1970) 155-156 Meeting Reports: Reactor Power Monitor Based on Чerenkov Radiation Effect K.G.Porges, R.Gold, and W.C.Corwin IEEE Transactions on Nuclear Science February 1970, Vol. NS-17, No. 1, p. 501 Level Distributions of count Rate Meters for Various Circuit Parameters not Giving Gaussian Distributions W.C.Corwin, K.G.Porges, and R.J.Daly 1970 Annual Meeting of the American Nuclear Society Vol. 13, No. 1, p. 241 Investigation of the ${}^{37}\mathrm{Cl}(\mathrm{\alpha ,d)}{}^{39}\mathrm{Ar}$ Reaction E.L.Sprenkel-Segel, W.C.Corwin and R.E.Segel Bulletin of the American Physical Society Series 2-18, 1973 October, 1-3 November, Bloomington, Ind. Beam Heating of Target Foils W.C.Corwin Fourth Annual International Conference of the Nuclear Target Development Society Argonne, Illinois, Sept. 29-Oct.1, 1975 The ${}^{37}\mathrm{Cl}(\mathrm{\alpha ,d)}{}^{39}\mathrm{Ar}$ Reaction at 27 Mev R.E.Segel, J.F.Tonn, W.C.Corwin, and L.R.Rutledge, Jr. Bulletin of the American Physical Society Series 2-21, 82 (1976) Internal Reports: Evaluation of Photomultipliers for Optimum Noise and Timing Characteristics W.C.Corwin, K.Porges, and R.Gold Reactor Physics Division Annual Reviews, ANL-7410 Parity Conservation in Nuclei; Search for the α Decay of the 8.87 Mev State in ${}^{16}O$ E.L.Sprenkel-Segel, L.R.Greenwood, W.C.Corwin, and R.E.Segel Physics Division Annual Review, 1 April 1971-31 March 1972, ANL-7971 Spectroscopy of ${}^{39}\mathrm{Ar}$ E.L.Sprenkel-Segel, W.C.Corwin, and R.E.Segel Physics Division Annual Revies, 1 April 1972-31 March 1972, ANL-8035

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Internet Software: Javascript calculators are at www.ConcurrentInverse.com . The derivation of some exact formulas used, assuming some symmetries, with enough detail to follow is at proof_new.txt . At proof_new.txt enough progress is made to check the expressions; further blazing into new territory is at plato.txt where additional expressions are derived. They are rendered in MathML at pentagon.xml.Calculators using the exact formulas for the pentagon, dodecahedron, icosahedron, another example is available, as well as an illustration. are available.

A discussion of a normalized plot of the cubic roots and cos(2pi/7) is available.

© 2009 Wm.C. Corwin Corwin????@gmail∙com www.ConcurrentInverse.com Calculators

Thought for the day: The product of the cosines of the angle between the normals to the faces of the dodecahedron and icosahedron is $\frac{\sqrt{5}}{5}$ ◦ $\frac{\sqrt{5}}{3}$ = $\frac{1}{3}$. Another amazing expression for π is $\pi =3+\frac{{1}^{2}}{6+}\frac{{3}^{2}}{6+}\frac{{5}^{2}}{6+}\frac{{7}^{2}}{6+}\frac{{9}^{2}}{6+}$...