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drew Wrote:
-------------------------------------------------------
> I will pick yokels apart, and with your own help:
>
> LOL, Rhind Mathematical Papyrus problem # 50 What
> is the area of a circular field with a diameter of
> 9. The written solution states, subtract 1/9 of of
> the diameter which leaves 8 khet. The area is 8
> multiplied by 8, or 64 setat.
>
> and
>
> As previously stated the value of 256/81 is our
> value extrapolated using our methods from RMP
> problem #50. According to all records, if and only
> if, 256/81 were known in Ancient Egypt...
>
> IS OUR VALUE EXTRAPOLATED..
>
> Let alone what I previously posted that you are
> responding to and not responding to...
>
> Jacob...as I said, what we have to rely upon as
> what the ancients knew is not what they knew...it
> is a little bit of what they knew. Tell me...why
> did the ancient Greeks go to Alexandria and the
> surrounds to learn about math and astronomy if
> they could do so much better? The ancient Greeks
> were tremendous with delving into stuff...why go
> anywhere else?
>
> Why did Pythagoras go to Egypt to discover the
> Pythagorean theorem of a right angled triangle if
> he could do it himself?
>
> And on that note...the origin of 'pi'...do we
> ascribe the Greeks to that? Oh lmfao.
>
> When did the Alexandria Library get destroyed?
>
> Sheesh...Jacob, honestly, if you want to stay with
> a few papyri, you won't raise yourself to what
> math is all about and where it came from...you'll
> be stuck with children's math instead of
> university math. 8/9 and such is kid's
> stuff...that's why folk who keep investigating
> this stuff can't go anywhere above it. They are
> stuck in it...in a circle and a square that don't
> equate and they still try to make it equate.
>
> Okay...extend yourself for a moment: the circle
> has 360deg, 60 minutes per degree, and 60 seconds
> per minute...and standing on a hill, you can see
> the horizon where an arc-second can have 50 or a
> 100 parts to it - depending on your eye sight.
> Let's say 100. You have turned 1,296,000 parts of
> the circle into 129,600,000 parts to the circle.
> How much better are you in defining a value for
> pi?

Way ahead of you, please read carefully the following, let me know what you do not understand, because the following is the essence of of all Ancient Egyptian mathematics.

From 6 years ago: Is it possible or even more probable the Royal Egyptian cubit is just an extension of or possibly the precursor of the Ancient Sumerian Sexagesimal Mathematics System. Since there is scant evidence showing the Ancient Egyptians having developed any kind of divisions for the circle, but since time frames run concurrently with Sumeria, it is not a stretch, in light of what follows, to substitute the Sumerian values for the circles divisions. That is a circle with a value of 360 * 60 * 60 gives a value of 1296000 arc seconds.
Calculating in the square and circle method demonstrated here:


1296000 x (14/11) = 1649454 6/11
1649454 6/11 / 8 = 206181 9/11, making the radius in arc seconds divided by 10,000 equals the value of the Royal Egyptian Cubit of 20 34/55, 20.6181818… arc seconds, a value used by most but normally rounded in decimal form of 20.62 inches. This cubit 20 34/55 inches (20.6181818...) which corresponds to all of G1 measurement within fractions of inches. i.c. The North Wall in the Kings Chamber 62 6/7 cubits (1296 inches), the horizontal roof length of Grand Gallery 80 cubits (1649 5/11 inches) and the width of the Kings Chamber. 10 cubits (206 2/11 inches). What this actually states is 1/1296000 of the circle is equal to one inch. but the mathematics in themselves are not hard evidence. Matching measured pyramid dimensions makes it hard evidence,

For instance the horizontal length of the Grand Gallery of 80 cubits, 1649 5/11 is 1/22 the perimeter of G1 improper fraction 18144/11 inches cubits or any other unit you wish to apply.

Eye of Horace division of one arc second 1/1296000 dispensing with the zeros since the Ancient Egyptians had no notation for zero, holding places by changing the hieroglyph. please find the following:

Eye of Horace divisions for 1/1296 divided by 1/2, 1/4, 1/8 etc is accomplished by additive methods i.e. 1/1296 + 1/1296 = 1/648 equals our equation 1296 / 1/2 = 1/648
1 = 1/1296
1/2 ... 1/648...reciprocal (648)
1/4 .. 1/324..reciprocal (324)
1/8 ….1/162...reciprocal (162)
1/16... 1/81...reciprocal (81)
1/32... 1/54 + 1/162 ...2/81... reciprocal 40 + 1//2) = (81/2)
1/64….1/27 + 1/81... 4/81....reciprocal 20 + 1/4. (81/4) this is an important number Catalog #6349 in the inventory of Turin Museum is a bronze cubit rod Scale B is 20 1/4 inches in length having no palms divisions, subdivided into 27 digits 3/4 inches. 1/10 of this rod equals the seked of the Grand Gallery. .

The record show only one instance of going beyond 1/64, but lets take it beyond 1/64 and see what just to see what develops.
___________________________________________________________________________________

1/128...1/18 + 1/27 + 1/162... 8/81.reciprocal 10 + 1/8 (81/8)
1/256...1/6 + 1/54 + 1/81..16/81...reciprocal 5 +1/16 (81/16)
1/512...1/3 + 1/18 + 1/162 ... 32/81... reciprocal 2 + 1/3 + 1/6 + 1/32 (81/32)
1/1024...1/2 + 1/6 + 1/9 + 1/81... 64/81...reciprocal 1 + 1/6 + 1/12 + 1/64... (81/64) 64/81 is also (8/9)^2 For those who have studied the Mathematical Papyri this is recognizable as part of problem #50 Rhind Mathematical Papyrus A = d^2 * (8/9)^2 also found in Moscow Mathematical Papyrus problem #10 where S = 2d * (8/9)^2 * d, which calculates the surface are of a hemisphere.
<[www.math.buffalo.edu];
___________________________________________________________________________________

1/2048... 1/2 + 1/8 + 1/128 = 81/128...(81/128)...reciprocal 1 + 1/2 + 1/24 + 1/27 + 1/648 (128/81)
1/4096...1/4 + 1/16 + 1/256 = 81/256…reciprocal 3 + 1/9 + 1/27 + 1/81...(256/81) This I believe this is what we have erroneously interpreted as the Ancient Egyptian value for pi in Rhind Mathematical Papyrus problem # 50 What is the area of a circular field with a diameter of 9. The written solution states, subtract 1/9 of of the diameter which leaves 8 khet. The area is 8 multiplied by 8, or 64 setat.

I will try to explain, but I do not consider myself a teacher, and not sure if I can get the point across or that anyone will grasp the assumptions present in the extrapolation.
The opening statement for extrapolating 256/81 from their statement is π (d/2)^2 logically that equation demonstrates we have the knowledge of pi, but in no way proves Ancient Egyptian knowledge of pi. This only projects that knowledge of pi upon the ancient Egyptians. So the very nature of the equation in context makes the assumption the Ancient Egyptians had knowledge of pi.
Now if you can extrapolate pi from any where in problem 50 without starting with pi or the concept of pi, you are a much better mathematician than I. If you can I would do a dance of joy, as it would reinstate 1/3 of my research regarding pi and G2 and G3. There is no doubt our methods are quicker and easier, but not near through enough since no one seems to have noted this glaring error before. It is because pi is so ingrained and so absolute among most there are no conceivable alternatives.
Believing 256/81 to be pi is a common misconception arrived at by using our concept of pi, mathematical logic and methods to calculate their data, which as you can see, so far from these preliminary results are misguided. Our shortcuts do not always tell the tale of what was written by the ancient Egyptians.

Attributing a knowledge of pi in any form upon the Ancient Egyptians is pure unsupported speculation. Regardless of how many people believe otherwise. You are all welcome to speculate about 256/81 in free exchange of ideas, but please do it somewhere other than this thread. I can't ignore it, as I normally do, and to put it bluntly, I won’t feel compelled to respond to your post wasting my time trying to counter your erroneous circular reasoning and logic regarding whether the Ancient Egyptians used pi.

Have a great day!

Regards,
Jacob



Edited 1 time(s). Last edit at 27-Jun-18 17:13 by Sirfiroth.

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Subject Views Written By Posted
Pi or no Pi ?????????????? 3212 Sirfiroth 06-Feb-18 03:26
Re: Pi or no Pi ?????????????? 558 drew 06-Feb-18 04:18
Re: Pi or no Pi ?????????????? 520 Sirfiroth 06-Feb-18 17:37
Re: Pi or no Pi ?????????????? 423 drew 06-Feb-18 23:32
Re: Pi or no Pi ???????????????? 483 Dr. Troglodyte 07-Feb-18 14:44
Re: Pi or no Pi ?????????????? 410 molder 08-Feb-18 05:09
Re: Pi or no Pi ?????????????? 408 Sirfiroth 08-Feb-18 06:43
Re: Pi or no Pi ?????????????? 410 DavidK 08-Feb-18 10:48
Re: Pi or no Pi ?????????????? 409 molder 08-Feb-18 11:56
linking egyptian Pi to imperial Pi 345 DavidK 08-Feb-18 15:10
Re: Pi or no Pi ?????????????? 347 DavidK 08-Feb-18 13:58
cubit of 20.25? 314 DavidK 08-Feb-18 14:12
where does Fibonacci Pi come from? 350 DavidK 08-Feb-18 14:49
Re: cubit of 20.25? 405 Sirfiroth 08-Feb-18 15:08
Re: cubit of 20.25? 367 DavidK 08-Feb-18 15:15
Re: cubit of 20.25? 366 molder 09-Feb-18 03:58
Mod Note > Off-Topic Posts 384 Dr. Troglodyte 09-Feb-18 16:38
Re: cubit of 20.25? 528 Sirfiroth 09-Feb-18 21:02
Oh...what a shame... 398 drew 09-Feb-18 00:33
Re: Oh...what a shame... 396 Sirfiroth 09-Feb-18 04:47
Re: Oh...what a shame... 416 drew 09-Feb-18 06:02
Re: Oh...what a shame... 446 Sirfiroth 09-Feb-18 13:28
Re: Oh...what a shame... 403 DavidK 22-Jun-18 05:58
Re: Oh...what a shame... 340 drew 22-Jun-18 09:54
Re: Oh...what a shame... 421 Sirfiroth 22-Jun-18 13:32
Re: Oh...what a shame... 497 drew 22-Jun-18 22:27
Re: Oh...what a shame... 369 Sirfiroth 23-Jun-18 01:48
Re: well put 341 drew 23-Jun-18 08:08
To put it bluntly! 383 Sirfiroth 23-Jun-18 12:40
Re: well put 362 Manu 23-Jun-18 18:33
Re: extensions of numbers 315 drew 24-Jun-18 00:40
Re: extensions of numbers 374 Sirfiroth 24-Jun-18 04:50
Re: extensions of numbers 327 drew 24-Jun-18 08:36
Re: extensions of numbers 318 Sirfiroth 24-Jun-18 12:22
Re: extensions of numbers 322 drew 24-Jun-18 20:53
Re: extensions of numbers 321 Sirfiroth 25-Jun-18 16:06
Re: extensions of numbers 298 DavidK 25-Jun-18 16:13
Re: extensions of numbers 305 Sirfiroth 25-Jun-18 16:46
the primitive calculator 303 drew 25-Jun-18 23:23
Re: the primitive calculator 358 Sirfiroth 26-Jun-18 02:24
Re: the primitive calculator 290 drew 26-Jun-18 07:06
Mod Note > Duplicate Post Removed 387 Dr. Troglodyte 26-Jun-18 12:45
Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 357 rodz111 26-Jun-18 13:55
Re: Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 258 drew 27-Jun-18 05:18
Re: the primitive calculator 332 Sirfiroth 26-Jun-18 17:00
Re: the primitive calculator 324 drew 27-Jun-18 00:01
Re: the primitive calculator 321 Sirfiroth 27-Jun-18 00:18
Re: the primitive calculator 292 drew 27-Jun-18 01:56
Re: well put 279 cloister 24-Jun-18 09:43
Re: well put 322 Manu 24-Jun-18 12:59
Re: well put 310 cloister 24-Jun-18 18:14
Re: well put 366 cloister 29-Jun-18 08:48
Re: well put 298 drew 27-Jun-18 05:11
Re: Oh...what a shame... 361 Sirfiroth 22-Jun-18 12:21
Re: Oh...what a shame... 391 molder 23-Jun-18 00:24
Re: Oh...what a shame... 370 DavidK 23-Jun-18 21:06
Re: Oh...what a shame... 330 DavidK 24-Jun-18 07:41
Understanding the differences! 329 Sirfiroth 24-Jun-18 12:50
No pie for jacob 368 DavidK 24-Jun-18 08:54
Re: No pie for jacob 306 Sirfiroth 25-Jun-18 16:44
Re: No pie for jacob 331 DavidK 25-Jun-18 20:21
Re: No pie for jacob 335 Sirfiroth 25-Jun-18 23:19
Re: 5 values for pi in GP here are 3 294 molder 26-Jun-18 00:51
Re: what value for pi? 296 drew 26-Jun-18 14:11
Re: what value for pi? 342 molder 26-Jun-18 21:30
Re: what value for pi? 299 drew 26-Jun-18 23:42
Re: 5 values for pi in GP here are 3 284 Sirfiroth 26-Jun-18 14:55
Re: 5 values for pi in GP here are 3 337 molder 26-Jun-18 21:18
Re: No pie for jacob 335 DavidK 26-Jun-18 10:34
Re: No pie for jacob 295 Sirfiroth 26-Jun-18 15:02
Re: No pie for jacob 292 DavidK 26-Jun-18 16:46
Re: No pie for jacob 301 Sirfiroth 26-Jun-18 17:12
Re: No pie for jacob 328 DavidK 26-Jun-18 18:58
Re: No pie for jacob 339 Sirfiroth 26-Jun-18 22:59
Re: No pie for jacob 288 DUNE 26-Jun-18 19:52
Re: No pie for jacob 293 DavidK 26-Jun-18 21:18
Re: No pie for jacob 296 Sirfiroth 26-Jun-18 23:10
Hard evidence for base 100 using egyptian maths 304 DavidK 27-Jun-18 05:37
Re: Hard evidence for base 100 using egyptian maths 333 drew 27-Jun-18 06:16
Re: Hard evidence for base 100 using egyptian maths 305 DavidK 27-Jun-18 10:25
Re: Hard evidence for base 100 using egyptian maths 316 drew 27-Jun-18 21:18
Re: Pi or no Pi ?????????????? 363 rodz111 25-Jun-18 17:48
Re: Pi or no Pi ?????????????? 336 Sirfiroth 25-Jun-18 19:54
Re: Pi or no Pi ?????????????? 306 rodz111 26-Jun-18 03:13
Re: Pi or no Pi ?????????????? 325 molder 26-Jun-18 03:19
Re: Pi or no Pi ?????????????? 323 rodz111 26-Jun-18 03:30
Re: Pi or no Pi ?????????????? 318 molder 26-Jun-18 21:52
Re: Pi or no Pi ?????????????? 368 rodz111 28-Jun-18 07:44
Re: Pi or no Pi ?????????????? 315 drew 28-Jun-18 09:56
Re: Pi or no Pi ?????????????? 344 rodz111 28-Jun-18 11:09
Re: Pi or no Pi ?????????????? 335 drew 28-Jun-18 17:13
Re: Pi or no Pi ?????????????? 349 DavidK 28-Jun-18 20:00
Tripping over museum rods 344 drew 28-Jun-18 23:52
Museum rods 310 drew 29-Jun-18 00:20
Re: Pi or no Pi ?????????????? 335 rodz111 29-Jun-18 00:37
You're as much as a complainer as anyone but you're not... 326 drew 29-Jun-18 01:24
Re: Pi or no Pi ?????????????? 397 rodz111 30-Jun-18 01:21
You down and dirty so-n-so 331 drew 27-Jun-18 05:29
Re: You down and dirty so-n-so 277 Sirfiroth 27-Jun-18 08:17
Re: You down and dirty so-n-so 273 drew 27-Jun-18 09:49
Re: You down and dirty so-n-so 410 Sirfiroth 27-Jun-18 17:12
The math or the pyramid? 348 drew 27-Jun-18 20:46
Re: You down and dirty so-n-so 266 DavidK 17-Jul-18 23:04
Re: You down and dirty so-n-so 289 Sirfiroth 17-Jul-18 23:16
Re: You down and dirty so-n-so 281 DavidK 17-Jul-18 23:20
Re: Pi or no Pi ?????????????? 391 spaceyhippie 19-Jul-18 10:32
Re: Pi or no Pi ?????????????? 308 molder 19-Jul-18 11:21
Re: Pi or no Pi ?????????????? 352 Sirfiroth 19-Jul-18 12:05
Re: Pi or no Pi ?????????????? 477 spaceyhippie 19-Jul-18 23:57
Re: Pi or no Pi ?????????????? 332 DavidK 20-Jul-18 08:20
Re: Pi or no Pi ?????????????? 386 spaceyhippie 20-Jul-18 21:58
Re: Pi or no Pi ?????????????? 267 DavidK 22-Jul-18 09:41
Re: Pi or no Pi ?????????????? 372 spaceyhippie 23-Jul-18 02:15
Re: Pi or no Pi ?????????????? 305 DavidK 23-Jul-18 08:09
Re: Pi or no Pi ?????????????? 328 Sirfiroth 23-Jul-18 13:49
Re: Pi or no Pi ?????????????? 302 DavidK 23-Jul-18 22:23
Re: Pi or no Pi ?????????????? 533 Sirfiroth 23-Jul-18 23:52
Re: Pi or no Pi ?????????????? 320 DavidK 24-Jul-18 09:11
Re: Pi or no Pi ?????????????? 266 Sirfiroth 24-Jul-18 13:11
Re: Pi or no Pi ?????????????? 257 DavidK 27-Jul-18 06:13
Re: Pi or no Pi ?????????????? 294 Sirfiroth 27-Jul-18 15:45
Re: Pi or no Pi ?????????????? 356 spaceyhippie 24-Jul-18 02:44
Re: Pi or no Pi ?????????????? 366 DavidK 24-Jul-18 17:10
Re: Pi or no Pi ?????????????? 416 spaceyhippie 27-Jul-18 00:51
Re: Pi or no Pi ?????????????? 327 spaceyhippie 27-Jul-18 14:36
Re: Pi or no Pi ?????????????? 446 spaceyhippie 29-Jul-18 11:01
Re: Pi or no Pi ?????????????? 329 DavidK 06-Aug-18 19:15
Re: Pi or no Pi ?????????????? 302 DavidK 07-Aug-18 05:16
Re: Pi or no Pi ?????????????? 305 spaceyhippie 08-Aug-18 09:20
Re: Pi or no Pi ?????????????? 314 DavidK 08-Aug-18 09:39
Re: Pi or no Pi ?????????????? 342 spaceyhippie 09-Aug-18 02:32
Re: Pi or no Pi ?????????????? 370 DavidK 09-Aug-18 08:00
ROTFLMAO! 262 Sirfiroth 09-Aug-18 13:22
Re: ROTFLMAO! 269 DavidK 09-Aug-18 14:12
Re: ROTFLMAO! 354 Sirfiroth 09-Aug-18 14:28
Re: ROTFLMAO! 254 DavidK 09-Aug-18 14:49
Re: ROTFLMAO! 263 Sirfiroth 09-Aug-18 15:03
Re: ROTFLMAO! 276 DavidK 09-Aug-18 21:39
Re: ROTFLMAO! 301 Sirfiroth 10-Aug-18 02:06
Re: Pi or no Pi ?????????????? 314 spaceyhippie 09-Aug-18 20:40
Re: Pi or no Pi ?????????????? 370 DavidK 10-Aug-18 07:59
Re: Pi or no Pi ?????????????? 376 Steve Clayton 12-Aug-18 18:16
Re: Pi or no Pi ?????????????? 160 DavidK 27-Dec-19 23:13
Re: Pi or no Pi ?????????????? 147 Sirfiroth 28-Dec-19 03:46
Pi. All Pi. All The Time. 162 thinkitover 28-Dec-19 04:59
Re: Pi. All Pi. All The Time. 134 molder 28-Dec-19 10:35
Re: Pi or no Pi ?????????????? 133 DavidK 28-Dec-19 10:20
Re: Pi or no Pi ?????????????? 144 Sirfiroth 28-Dec-19 15:13
Re: Pi or no Pi ?????????????? 160 Thanos5150 28-Dec-19 16:30
Re: Pi or no Pi ?????????????? 151 thinkitover 28-Dec-19 21:49
Re: Pi or no Pi ?????????????? 149 Thanos5150 29-Dec-19 04:35
Re: Pi or no Pi ?????????????? 140 Sirfiroth 29-Dec-19 02:17
Re: Pi or no Pi ?????????????? 144 molder 29-Dec-19 04:14
Re: Pi or no Pi ?????????????? 138 Sirfiroth 29-Dec-19 12:51
Re: Pi or no Pi ?????????????? 137 molder 29-Dec-19 22:31
Re: Pi or no Pi ?????????????? 130 Sirfiroth 30-Dec-19 14:11
Re: Pi or no Pi ?????????????? 177 magisterchessmutt 30-Dec-19 15:16
Re: Pi or no Pi ?????????????? 135 Sirfiroth 31-Dec-19 03:33
Re: Pi or no Pi ?????????????? 180 magisterchessmutt 31-Dec-19 04:33
Re: Pi or no Pi ?????????????? 154 Sirfiroth 31-Dec-19 15:04
Re: Pi or no Pi ?????????????? 161 spaceyhippie 31-Dec-19 23:37
Re: Pi or no Pi ?????????????? 155 Thanos5150 29-Dec-19 04:29
Re: Pi or no Pi ?????????????? 142 DavidK 29-Dec-19 09:32
Re: Pi or no Pi ?????????????? 145 Sirfiroth 29-Dec-19 14:09
Re: Pi or no Pi ?????????????? 144 spaceyhippie 01-Jan-20 23:18
Re: Pi or no Pi ?????????????? 160 Sirfiroth 02-Jan-20 01:33
Pi vs Pudding 149 thinkitover 02-Jan-20 21:45
Re: Pi vs Pudding 140 spaceyhippie 03-Jan-20 00:06
Re: Pi vs Pudding 156 seasmith 03-Jan-20 00:24
Re: Pi vs Pudding 140 spaceyhippie 07-Jan-20 23:06
Re: Pi vs Pudding 182 seasmith 08-Jan-20 02:54
Re: Pi vs Pudding 149 Sirfiroth 03-Jan-20 03:36
Re: Pi vs Pudding 146 molder 03-Jan-20 06:56
Re: Pi vs Pudding 149 Sirfiroth 03-Jan-20 18:25
Re: Pi vs Pudding 144 spaceyhippie 04-Jan-20 00:02
LOL, now that was hilarious ! 142 Sirfiroth 04-Jan-20 05:51
Re: LOL, now that was hilarious ! 185 hendrik dirker 04-Jan-20 09:32
Re: LOL, now that was hilarious ! 132 spaceyhippie 04-Jan-20 23:37
Re: LOL, now that was hilarious ! 141 spaceyhippie 04-Jan-20 23:39
Re: Pi vs Pudding 160 molder 04-Jan-20 11:03
Re: Pi vs Pudding 149 Sirfiroth 05-Jan-20 20:11
Re: Pi vs Pudding 140 molder 06-Jan-20 02:55
Re: Pi vs Pudding 171 magisterchessmutt 06-Jan-20 02:58
Re: Pi vs Pudding 137 molder 06-Jan-20 05:26
Re: Pi vs Pudding 138 spaceyhippie 07-Jan-20 01:32
Re: Pi vs Pudding 128 DavidK 07-Jan-20 02:02
Re: Pi vs Pudding 141 thinkitover 06-Jan-20 06:13
Re: Pi vs Pudding 156 Sirfiroth 07-Jan-20 02:18
Re: Pi vs Pudding 125 DavidK 07-Jan-20 14:25
Re: Pi vs Pudding 138 Sirfiroth 07-Jan-20 15:16
Re: Pi vs Pudding 137 DavidK 07-Jan-20 19:03
Re: Pi vs Pudding 130 Sirfiroth 07-Jan-20 20:08
Re: Pi vs Pudding 131 DavidK 07-Jan-20 20:11
Re: Pi or no Pi ?????????????? 157 DavidK 28-Dec-19 11:21
Re: Pi or no Pi ?????????????? 153 engbren 28-Dec-19 12:34
Re: Pi or no Pi ?????????????? 152 Sirfiroth 28-Dec-19 15:55
Re: Pi or no Pi ?????????????? 141 engbren 29-Dec-19 01:14
Re: Pi or no Pi ?????????????? 140 Sirfiroth 30-Dec-19 16:52
Re: Pi or no Pi ?????????????? 143 engbren 30-Dec-19 22:23
Re: Pi or no Pi ?????????????? 200 magisterchessmutt 30-Dec-19 23:24
Re: Pi or no Pi ?????????????? 166 engbren 31-Dec-19 11:31
Re: Pi or no Pi ?????????????? 148 spaceyhippie 04-Jan-20 00:42


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