Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]

Groups > sci.math > #407956

Re: MatheRealism in geometry

From "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid>
Newsgroups sci.math
Subject Re: MatheRealism in geometry
Date 2018-03-11 13:03 -0700
Organization n/a
Message-ID <p8422l$sh5$1@dont-email.me> (permalink)
References (15 earlier) <p81mds$7o7$1@dont-email.me> <5c2193f3-e275-447e-b7eb-fdc9dbcfec04@googlegroups.com> <e6aa6281-8092-4876-a9f1-0c7f7bf60cd8@googlegroups.com> <p81r5h$92i$1@dont-email.me> <8290aa60-3661-4371-8821-175491585e58@googlegroups.com>

Show all headers | View raw

On 3/11/2018 7:02 AM, John Gabriel wrote:
> On Saturday, 10 March 2018 18:53:26 UTC-5, Chris M. Thomasson  wrote:
>> On 3/10/2018 3:41 PM, John Gabriel wrote:
>>> On Saturday, 10 March 2018 18:40:18 UTC-5, John Gabriel  wrote:
>>>> On Saturday, 10 March 2018 17:32:35 UTC-5, Chris M. Thomasson  wrote:
>>>>> On 3/9/2018 12:00 AM, Chris M. Thomasson wrote:
>>>>>> On 3/8/2018 10:22 PM, Python wrote:
>>>>>>> bursejan@gmail.com wrote
>>>>>>>>
>>>>>>>> https://www.wolframalpha.com/input/?i=1+-+cos%28t%29,+1%2F4+%281+-+cos%282*t%29%29,+1%2F16+%281+-+cos%284*t%29%29,+1%2F64+%281+-+cos%288*t%29%29+from+0+to+2*pi
>>>>>>>>
>>>>>>>>
>>>>>>>
>>>>>>> very nice!
>>>>>>
>>>>>> Fwiw, check out the following rendering:
>>>>>>
>>>>>> https://plus.google.com/101799841244447089430/posts/gp7F7sP5swj
>>>>>>
>>>>>> Fractal waves contained in the unit circle generated by a simple
>>>>>> recursive parametric function. I posted the code in a response to Jan,
>>>>>> who inspired me to create it in the first place:
>>>>>>
>>>>>> https://groups.google.com/d/msg/sci.math/uKj8GM0uRZU/Vk_LqPv8BAAJ
>>>>>
>>>>> Actually, afaict, this does not need to be recursive in nature. An outer
>>>>> loop will do. Will have some more time later on today to get rid of any
>>>>> recursion.
>>>>
>>>> Of course not. Recursion can be very problematic. A compiler handles recursive calls to a function by using the stack - lots of PUSH and POP operations which can lead to stack overflow.
>>>>
>>>> You can implement controlled recursion as follows:
>>>>
>>>> 1. Allocate arrays for stack variables with maximum size allowable or a boundary that you know it must not exceed.
>>>> 2. Maintain an index starting at 0. Each time you PUSH (invoke the function or sub-routine), increment index. Each time you POP (exit function or subroutine), decrement index.
>>>> 3. You can prevent stack overflow by monitoring the index.
>>>>
>>>> Simple as this. :-))
>>>
>>> You'll also need to store the argument list every time.
>>
>> I do not want to blow up the stack: Yikes! ;^)
> 
> That's exactly the reason you would do it the way I suggested.

Agreed. Iteration is safer than recursion.


>> Fwiw, I think it can be accomplished without allocating anything. Just
>> adding an extra outer loop to take care of the single recursive call
>> should work out nicely. I will have more time after dinner.
> 
> Recursion is very problematic. No sound application uses recursion. No matter what you do to make it better, it can always fail for a multitude of reasons.

Well, I managed to get rid of the recursion. It was pretty easy, now 
that I think about it. Here is the pure iterative function of my fractal 
wave scheme:
___________________________________
// 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 = CT_PI * 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 = abs(sin(angle_wave)) * 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(wp0, CT_RGBF(1., 1., 0.));
         plot.set_pixelf(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, 3072, p0, p1, nr);

         // Compute next wave
         nr = nr * (recur_i + 2);
     }
}
___________________________________

I am hard coding the number of points plotted per wave via 
ct_fwave_mpara for now. If we plot a small amount of points, say 10 or 
20, well, we can join them with lines and create some interesting 
structures.


The outer loop and the function that computes the next wave wrt the nr 
variable in ct_fwave replaces the recursion.

Nice!

[...]

Back to sci.math | Previous | Next — Previous in thread | Next in thread | Find similar | Unroll thread

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

csiph-web