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Groups > sci.math > #408199

Re: MatheRealism in geometry

From "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid>
Newsgroups sci.math
Subject Re: MatheRealism in geometry
Date 2018-03-13 17:29 -0700
Organization n/a
Message-ID <p89qch$oad$2@dont-email.me> (permalink)
References (14 earlier) <f56cf641-1b1c-4725-8159-24683e7c59a2@googlegroups.com> <573c846b-cd6d-4412-a3bb-e9fec5d9f26b@googlegroups.com> <5aa1e747$0$7188$426a74cc@news.free.fr> <7e3b61f3-3dc0-4b32-8af4-a20b04c112e5@googlegroups.com> <p89qaf$oad$1@dont-email.me>

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On 3/13/2018 5:27 PM, Chris M. Thomasson wrote:
> On 3/8/2018 5:53 PM, bursejan@gmail.com wrote:
>> Well the U graph(f_n) fractal is here,
>> just do visually the tripple dots ...:
>>
>> https://www.wolframalpha.com/input/?i=abs%28t-floor%28t%2B1%2F2%29%29,+1%2F2*abs%28t*2-floor%28t*2%2B1%2F2%29%29,+1%2F4*abs%28t*4-floor%28t*4%2B1%2F2%29%29,+1%2F8*abs%28t*8-floor%28t*8%2B1%2F2%29%29+from+0+to+2 
>>
>>
>> And lub along the y-axis of U graph(f_n)
>> gives the straight line f(x)=0.
>>
>> Thats all pretty trivial stuff.
>>
> 
> Fwiw, here is a triangle wave fractal wrapped around the unit circle. My 
> code C++ for this is:

Argh! If forgot to give a link to an example rendering. Here is one of mine:

https://plus.google.com/101799841244447089430/posts/1tvYDG4u2cs

Sorry about that. ;^o


> ______________________
> // Project to half disk
> ct_complex ct_project(
>      ct_complex z
> ) {
>      ct_complex I = { 0, -1.0 };
>      ct_complex w = { -(I + z) / (I - z) };
>      return w;
> }
> 
> 
> // Fractal Parametric Wave Plotter
> void ct_fwave_mpara(
>      ct::plot2d& plot,
>      unsigned int n,
>      ct_complex p0,
>      ct_complex p1,
>      unsigned int nr
> ) {
>      ct_complex dif = p1 - p0;
> 
>      // Build the Fractal wave
>      ct_float abase = 1.0 / n;
>      ct_float abase_wave = 2.0 * 1 / n;
> 
>      for (unsigned int i = 0; i < n; i++)
>      {
>          ct_float angle = abase * i;
>          ct_float angle_wave = abase_wave * i * nr;
>          ct_float y_temp = (angle_wave - floor(angle_wave + .5)) * 1.0 / 
> nr + (p0.imag() + (dif.imag() * angle));
> 
>          // Fractal Wave High
>          ct_complex wp0 = {
>              p0.real() + (dif.real() * angle),
>              y_temp
>          };
> 
>          // Fractal Wave Low
>          ct_complex wp1 = {
>              p0.real() + (dif.real() * angle),
>              -y_temp
>          };
> 
>          plot.set_pixelf(ct_project(wp0), CT_RGBF(1., 1., 0.));
>          plot.set_pixelf(ct_project(wp1), CT_RGBF(0., 1., 1.));
>          plot.set_pixelf(-ct_project(wp0), CT_RGBF(1., 1., 0.));
>          plot.set_pixelf(-ct_project(wp1), CT_RGBF(0., 1., 1.));
>      }
> }
> 
> // Fractal Parametric Wave Function
> void ct_fwave(
>      ct::plot2d& plot,
>      unsigned int n,
>      ct_complex p0,
>      ct_complex p1,
>      unsigned int nr
> ) {
>      // For every level
>      for (unsigned int recur_i = 0; recur_i < n; ++recur_i)
>      {
>          // Plot the wave
>          ct_fwave_mpara(plot, 20072, p0, p1, nr);
> 
>          // Compute next wave
>          nr = nr * (recur_i + 2);
>      }
> }
> ______________________
> 
> 
> Think of the an infinite fractal staircase wrapped around a circle... ;^)

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Thread

MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-03 00:28 -0800
  Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-03 07:04 -0800
    Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-04 01:22 -0800
      Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-04 04:26 -0800
        Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-04 08:25 -0800
          Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-04 08:33 -0800
            Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-04 08:39 -0800
              Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-04 09:18 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-04 10:49 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-04 11:15 -0800
  Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-04 04:48 -0800
  Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-04 04:51 -0800
    Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-04 08:44 -0800
      Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-04 09:22 -0800
        Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-04 11:10 -0800
          Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-04 11:22 -0800
            Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-04 13:24 -0800
              Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-04 13:34 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-04 23:06 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-05 09:05 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-05 10:07 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-05 10:26 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-05 10:35 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-05 10:45 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-05 10:46 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-05 11:07 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-05 12:51 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-05 23:17 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-06 04:20 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-06 06:12 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-06 06:16 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-06 06:24 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-06 06:27 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-06 17:14 +0100
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-06 09:02 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-06 09:17 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-06 18:26 +0100
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-06 09:53 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-06 10:31 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-06 10:53 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-07 01:49 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-07 02:48 +0100
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-06 21:19 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-07 08:46 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-07 11:02 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 02:37 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-07 23:49 +0100
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-07 15:24 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 02:05 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 03:46 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 19:02 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-08 05:47 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 17:23 +0100
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-08 09:14 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 18:26 +0100
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-08 10:13 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 19:25 +0100
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-08 11:03 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 11:07 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-08 11:07 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-08 11:12 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 11:16 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 11:19 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 20:22 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 11:22 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 11:28 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 20:17 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 20:15 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 20:12 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 10:29 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 19:37 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 10:53 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 11:04 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 20:08 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 11:15 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-08 11:06 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-07 04:18 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-07 15:40 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-07 23:40 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-08 05:50 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 06:08 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 07:40 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 09:15 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 09:22 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 11:34 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 11:41 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 20:41 +0100
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-08 12:55 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 13:25 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 13:31 -0800
                Re: MatheRealism in geometry FredJeffries <fredjeffries@gmail.com> - 2018-03-08 14:37 -0800
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-08 14:42 -0800
                Re: MatheRealism in geometry FredJeffries <fredjeffries@gmail.com> - 2018-03-08 15:35 -0800
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-08 14:46 -0800
                Re: MatheRealism in geometry FredJeffries <fredjeffries@gmail.com> - 2018-03-08 15:34 -0800
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-08 15:54 -0800
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-08 15:57 -0800
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-08 16:03 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 16:31 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 16:37 -0800
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-08 17:19 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 17:41 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 16:39 -0800
                Re: MatheRealism in geometry FredJeffries <fredjeffries@gmail.com> - 2018-03-08 16:44 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 01:59 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 17:21 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 17:30 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 02:45 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 17:53 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 02:57 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 18:05 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 03:18 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 06:25 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 21:33 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 06:36 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 21:40 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 21:43 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 21:46 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 21:52 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 06:57 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 06:53 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 22:00 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 22:06 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 07:13 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 22:15 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 22:21 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 07:27 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 07:22 +0100
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-09 00:00 -0800
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-10 14:32 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-10 15:40 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-10 15:41 -0800
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-10 15:53 -0800
                Re: MatheRealism in geometry Jonas Thörnvall <jonas.thornvall@gmail.com> - 2018-03-10 17:57 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-11 07:02 -0700
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-11 13:03 -0700
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-11 13:21 -0700
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-12 17:54 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-12 10:07 -0700
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-12 10:12 -0700
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-12 13:56 -0700
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-12 14:00 -0700
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-12 14:37 -0700
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-12 14:54 -0700
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-12 23:04 +0100
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-12 15:13 -0700
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-12 15:21 -0700
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-12 15:41 -0700
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-12 16:01 -0700
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-12 16:06 -0700
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-13 00:24 +0100
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-12 17:07 -0700
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-12 16:51 -0700
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-12 17:08 -0700
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-12 20:19 -0700
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-11 00:53 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-09 03:14 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 06:42 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 18:20 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 18:29 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 03:39 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 03:30 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 18:48 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 18:58 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 04:29 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 20:35 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 20:40 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 05:47 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 20:50 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 20:58 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 06:01 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 05:59 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 21:20 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 03:09 +0100
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-13 17:27 -0700
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-13 17:29 -0700
                Re: MatheRealism in geometry Jonas Thörnvall <jonas.thornvall@gmail.com> - 2018-03-13 20:57 -0700
                Re: MatheRealism in geometry Jonas Thörnvall <jonas.thornvall@gmail.com> - 2018-03-13 21:00 -0700
                Re: MatheRealism in geometry Jonas Thörnvall <jonas.thornvall@gmail.com> - 2018-03-13 21:02 -0700
                Re: MatheRealism in geometry Jonas Thörnvall <jonas.thornvall@gmail.com> - 2018-03-14 05:15 -0700
                Re: MatheRealism in geometry Jonas Thörnvall <jonas.thornvall@gmail.com> - 2018-03-14 06:28 -0700
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-14 06:41 -0700
                Re: MatheRealism in geometry Jonas Thörnvall <jonas.thornvall@gmail.com> - 2018-03-14 06:54 -0700
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-14 07:12 -0700
                Re: MatheRealism in geometry Jonas Thörnvall <jonas.thornvall@gmail.com> - 2018-03-14 07:16 -0700
                Re: MatheRealism in geometry Jonas Thörnvall <jonas.thornvall@gmail.com> - 2018-03-14 07:28 -0700
                Re: MatheRealism in geometry Jonas Thörnvall <jonas.thornvall@gmail.com> - 2018-03-14 07:32 -0700
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-14 07:47 -0700
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-08 19:45 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 05:00 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 17:06 -0800
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-08 22:17 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 22:24 -0800
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-08 23:27 -0800
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-08 23:35 -0800
                Re: MatheRealism in geometry "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-03-08 23:43 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 01:44 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-09 02:35 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 01:42 +0100
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-08 17:04 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-09 02:35 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 16:50 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 16:51 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-09 08:52 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 18:10 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-09 10:08 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 19:17 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-09 13:55 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-09 15:32 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-10 03:17 +0100
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-09 19:37 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-10 03:11 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-10 02:46 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-10 04:01 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-12 18:19 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-10 03:21 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-10 02:40 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-10 03:58 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-12 18:19 +0100
                Re: MatheRealism in geometry "John Gabriel at age 50." <genmailus@gmail.com> - 2018-03-09 09:23 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 18:27 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 18:34 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-09 10:02 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-09 19:22 +0100
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-09 13:15 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-09 13:14 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-09 13:37 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-09 15:29 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-08 12:55 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 11:32 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 11:40 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 13:38 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 13:44 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-05 10:27 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-05 13:00 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-05 14:45 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-06 03:59 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-06 06:18 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-06 06:19 -0800
              Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-04 15:07 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-04 15:19 -0800
                Re: MatheRealism in geometry FredJeffries <fredjeffries@gmail.com> - 2018-03-04 15:48 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-04 23:24 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-04 23:25 -0800
      Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-04 10:04 -0800
        Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-04 10:06 -0800
          Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-04 10:11 -0800
        Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-04 11:20 -0800
          Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-04 20:35 +0100
            Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-04 12:50 -0800
              Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-04 22:53 +0100
            Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-04 23:36 -0800
            Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-05 00:24 -0800
              Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-05 14:58 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-05 07:28 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-05 16:47 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-05 08:18 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-05 17:26 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-05 10:06 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-05 23:05 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-06 03:29 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-06 06:17 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-06 06:33 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-06 06:49 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-07 04:08 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 04:26 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 04:33 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 04:49 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 00:16 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-07 04:44 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-07 15:36 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 06:46 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 06:53 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 07:01 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 07:11 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-07 16:16 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 07:21 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-07 16:26 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 07:27 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 07:31 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-07 16:35 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 07:37 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-07 16:41 +0100
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 07:48 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 08:06 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 08:26 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 08:31 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 00:05 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 00:02 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 03:38 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 03:40 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 03:51 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 04:02 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 07:38 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-07 16:32 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-07 23:54 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-07 08:14 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-07 17:17 +0100
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-07 08:25 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-07 08:32 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 08:34 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-07 07:18 -0800
                Re: MatheRealism in geometry John Gabriel <thenewcalculus@gmail.com> - 2018-03-06 07:25 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-06 07:49 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-06 07:50 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-07 04:11 -0800
              Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-05 15:02 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-05 07:36 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-05 16:49 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-05 08:02 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-05 17:10 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 07:34 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 18:44 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 11:42 -0800
                Re: MatheRealism in geometry bursejan@gmail.com - 2018-03-08 11:46 -0800
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 12:04 -0800
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 21:15 +0100
                Re: MatheRealism in geometry WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-03-08 12:58 -0800
                Re: MatheRealism in geometry j4n bur53 <janburse@fastmail.fm> - 2018-03-08 21:55 +0100
                Re: MatheRealism in geometry Python <python@python.invalid> - 2018-03-08 20:48 +0100

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