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12069

Re: 20th Century Mathematics - The Story of Mathematics

Thank you Roger! Op zo 20 aug. 2017 01:20 schreef Roger Bagula Roger.Bagula@... ... Thank you Roger! Op zo 20 aug. 2017 01:20 schreef Roger Bagula
Prof. Dr. Henk Koppelaar
Aug 20
#12069
 
12068

20th Century Mathematics - The Story of Mathematics

http://www.storyofmathematics.com/20th.html 20TH CENTURY MATHEMATICS Fields of Mathematics The 20th Century
Roger Bagula
Aug 19
#12068
 
12067

Re: conformal projection of a pentic Pisot onto a Weierstrass ellipt

A 5d fibered surface projected to 3d using unscaled Cartan Matrices: (* Mathematica*) Clear[t, p, x, y, z, m0, y0, w4, ww4, w3, ww3] (*Dual fiber: 5d triaxial
Roger Bagula
Aug 19
#12067
 
12066
Roger Bagula
Aug 19
#12066
 
12065

Richard Kenyon - Wikipedia

Probably the most under recognized mathematician of our time? https://en.wikipedia.org/wiki/Richard_Kenyon
Roger Bagula
Aug 19
#12065
 
12064

Her problem-solving theorems helped pave the way for women in mathem

https://thelily.com/her-problem-solving-theorems-helped-pave-the-way-for-women-in-mathematics-804cfa8134f
Roger Bagula
Aug 19
#12064
 
12063

conformal projection of a pentic Pisot onto a Weierstrass elliptic

The idea here is to compare the conformal projection of the pentic minimal pisot onto a cubic Weierstrass elliptic to the cubic minimal tiling pisot as a
Roger Bagula
Aug 19
#12063
 
12062

Re: quadratic projection of Weierstrass elliptics

Making a triangle of polynomials: quadratic, Weierstrass cubic and Jacobian quartic using this transform method backward and forward: several special cases are
Roger Bagula
Aug 18
#12062
 
12061

quadratic projection of Weierstrass elliptics

The projection of Jacobian roots onto Weierstrass roots in Elliptic Curves by McKean and Moll has been of interest to me in the past. What I figured out was a
Roger Bagula
Aug 17
#12061
 
12060

Re: [true_tile] Pisot Polynomial [1 Attachment]

This approach with the Penrose tiling limit at about 23 K made me think: is there is phase transition above 23 K in the cosmic microwave background type vacuum
Roger Bagula
Aug 17
#12060
 
12059

One I missed: -1 + x - 2 x^2 + x^3

I figured out a program to to the cubic Pisots in real root order: {{1.32472, -0.662359 + 0.56228 I, -0.662359 - 0.56228 I}, {1.46557, -0.232786 + 0.792552 I,
Roger Bagula
Aug 17
#12059
 
12058

Re: [true_tile] Pisot Polynomial [1 Attachment]

Using the Near GoldenRatio sequence in the email I came up with an Einstein heat capacity scale that pretty much matches the Pisot tile scale to convert the
Roger Bagula
Aug 16
#12058
 
12057

Re: [true_tile] Pisot Polynomial [1 Attachment]

Nice work. If you take the polynomial toral inverse of each polynomial that you found ( example): p[x_] = x^3 - x - 1 q[x_] = ExpandAll[x^3*p[1/x]] s =
Roger Bagula
Aug 15
#12057
 
12056

Re: [true_tile] a nice cubic tile from the 5th cubic Pisot: -1 + 2 x

Gee, I never said these were new… two things: ( brought me back… restating classical work is a tradition anyway.) 1) beta integer sequence 2) the Herman
Roger Bagula
Aug 15
#12056
 
12055

Re: One I missed: -1 + x - 2 x^2 + x^3

The real part of these cubic Pisots form a sequence of beta integers that appear to tile ( every one) . as beta[n]... Question is the sequence finite: do the
Roger Bagula
Aug 15
#12055
 
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