# Messages List

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

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12066

### The six-vertex model and Schramm-Loewner evolution - 1605.06471.pdf

https://arxiv.org/pdf/1605.06471.pdf
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

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