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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 ?????????????? 3228 Sirfiroth 06-Feb-18 03:26
Re: Pi or no Pi ?????????????? 567 drew 06-Feb-18 04:18
Re: Pi or no Pi ?????????????? 530 Sirfiroth 06-Feb-18 17:37
Re: Pi or no Pi ?????????????? 433 drew 06-Feb-18 23:32
Re: Pi or no Pi ???????????????? 493 Dr. Troglodyte 07-Feb-18 14:44
Re: Pi or no Pi ?????????????? 421 molder 08-Feb-18 05:09
Re: Pi or no Pi ?????????????? 417 Sirfiroth 08-Feb-18 06:43
Re: Pi or no Pi ?????????????? 420 DavidK 08-Feb-18 10:48
Re: Pi or no Pi ?????????????? 421 molder 08-Feb-18 11:56
linking egyptian Pi to imperial Pi 355 DavidK 08-Feb-18 15:10
Re: Pi or no Pi ?????????????? 358 DavidK 08-Feb-18 13:58
cubit of 20.25? 326 DavidK 08-Feb-18 14:12
where does Fibonacci Pi come from? 360 DavidK 08-Feb-18 14:49
Re: cubit of 20.25? 415 Sirfiroth 08-Feb-18 15:08
Re: cubit of 20.25? 378 DavidK 08-Feb-18 15:15
Re: cubit of 20.25? 377 molder 09-Feb-18 03:58
Mod Note > Off-Topic Posts 394 Dr. Troglodyte 09-Feb-18 16:38
Re: cubit of 20.25? 579 Sirfiroth 09-Feb-18 21:02
Oh...what a shame... 407 drew 09-Feb-18 00:33
Re: Oh...what a shame... 407 Sirfiroth 09-Feb-18 04:47
Re: Oh...what a shame... 425 drew 09-Feb-18 06:02
Re: Oh...what a shame... 510 Sirfiroth 09-Feb-18 13:28
Re: Oh...what a shame... 413 DavidK 22-Jun-18 05:58
Re: Oh...what a shame... 350 drew 22-Jun-18 09:54
Re: Oh...what a shame... 431 Sirfiroth 22-Jun-18 13:32
Re: Oh...what a shame... 507 drew 22-Jun-18 22:27
Re: Oh...what a shame... 380 Sirfiroth 23-Jun-18 01:48
Re: well put 350 drew 23-Jun-18 08:08
To put it bluntly! 392 Sirfiroth 23-Jun-18 12:40
Re: well put 372 Manu 23-Jun-18 18:33
Re: extensions of numbers 325 drew 24-Jun-18 00:40
Re: extensions of numbers 385 Sirfiroth 24-Jun-18 04:50
Re: extensions of numbers 336 drew 24-Jun-18 08:36
Re: extensions of numbers 327 Sirfiroth 24-Jun-18 12:22
Re: extensions of numbers 331 drew 24-Jun-18 20:53
Re: extensions of numbers 332 Sirfiroth 25-Jun-18 16:06
Re: extensions of numbers 308 DavidK 25-Jun-18 16:13
Re: extensions of numbers 316 Sirfiroth 25-Jun-18 16:46
the primitive calculator 312 drew 25-Jun-18 23:23
Re: the primitive calculator 367 Sirfiroth 26-Jun-18 02:24
Re: the primitive calculator 300 drew 26-Jun-18 07:06
Mod Note > Duplicate Post Removed 442 Dr. Troglodyte 26-Jun-18 12:45
Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 368 rodz111 26-Jun-18 13:55
Re: Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 269 drew 27-Jun-18 05:18
Re: the primitive calculator 354 Sirfiroth 26-Jun-18 17:00
Re: the primitive calculator 334 drew 27-Jun-18 00:01
Re: the primitive calculator 331 Sirfiroth 27-Jun-18 00:18
Re: the primitive calculator 303 drew 27-Jun-18 01:56
Re: well put 291 cloister 24-Jun-18 09:43
Re: well put 332 Manu 24-Jun-18 12:59
Re: well put 320 cloister 24-Jun-18 18:14
Re: well put 409 cloister 29-Jun-18 08:48
Re: well put 307 drew 27-Jun-18 05:11
Re: Oh...what a shame... 372 Sirfiroth 22-Jun-18 12:21
Re: Oh...what a shame... 401 molder 23-Jun-18 00:24
Re: Oh...what a shame... 382 DavidK 23-Jun-18 21:06
Re: Oh...what a shame... 341 DavidK 24-Jun-18 07:41
Understanding the differences! 385 Sirfiroth 24-Jun-18 12:50
No pie for jacob 379 DavidK 24-Jun-18 08:54
Re: No pie for jacob 317 Sirfiroth 25-Jun-18 16:44
Re: No pie for jacob 341 DavidK 25-Jun-18 20:21
Re: No pie for jacob 351 Sirfiroth 25-Jun-18 23:19
Re: 5 values for pi in GP here are 3 303 molder 26-Jun-18 00:51
Re: what value for pi? 305 drew 26-Jun-18 14:11
Re: what value for pi? 354 molder 26-Jun-18 21:30
Re: what value for pi? 308 drew 26-Jun-18 23:42
Re: 5 values for pi in GP here are 3 294 Sirfiroth 26-Jun-18 14:55
Re: 5 values for pi in GP here are 3 348 molder 26-Jun-18 21:18
Re: No pie for jacob 344 DavidK 26-Jun-18 10:34
Re: No pie for jacob 304 Sirfiroth 26-Jun-18 15:02
Re: No pie for jacob 302 DavidK 26-Jun-18 16:46
Re: No pie for jacob 317 Sirfiroth 26-Jun-18 17:12
Re: No pie for jacob 338 DavidK 26-Jun-18 18:58
Re: No pie for jacob 348 Sirfiroth 26-Jun-18 22:59
Re: No pie for jacob 297 DUNE 26-Jun-18 19:52
Re: No pie for jacob 302 DavidK 26-Jun-18 21:18
Re: No pie for jacob 305 Sirfiroth 26-Jun-18 23:10
Hard evidence for base 100 using egyptian maths 313 DavidK 27-Jun-18 05:37
Re: Hard evidence for base 100 using egyptian maths 370 drew 27-Jun-18 06:16
Re: Hard evidence for base 100 using egyptian maths 314 DavidK 27-Jun-18 10:25
Re: Hard evidence for base 100 using egyptian maths 329 drew 27-Jun-18 21:18
Re: Pi or no Pi ?????????????? 374 rodz111 25-Jun-18 17:48
Re: Pi or no Pi ?????????????? 345 Sirfiroth 25-Jun-18 19:54
Re: Pi or no Pi ?????????????? 315 rodz111 26-Jun-18 03:13
Re: Pi or no Pi ?????????????? 336 molder 26-Jun-18 03:19
Re: Pi or no Pi ?????????????? 332 rodz111 26-Jun-18 03:30
Re: Pi or no Pi ?????????????? 328 molder 26-Jun-18 21:52
Re: Pi or no Pi ?????????????? 378 rodz111 28-Jun-18 07:44
Re: Pi or no Pi ?????????????? 325 drew 28-Jun-18 09:56
Re: Pi or no Pi ?????????????? 354 rodz111 28-Jun-18 11:09
Re: Pi or no Pi ?????????????? 397 drew 28-Jun-18 17:13
Re: Pi or no Pi ?????????????? 358 DavidK 28-Jun-18 20:00
Tripping over museum rods 353 drew 28-Jun-18 23:52
Museum rods 320 drew 29-Jun-18 00:20
Re: Pi or no Pi ?????????????? 345 rodz111 29-Jun-18 00:37
You're as much as a complainer as anyone but you're not... 335 drew 29-Jun-18 01:24
Re: Pi or no Pi ?????????????? 408 rodz111 30-Jun-18 01:21
You down and dirty so-n-so 341 drew 27-Jun-18 05:29
Re: You down and dirty so-n-so 287 Sirfiroth 27-Jun-18 08:17
Re: You down and dirty so-n-so 282 drew 27-Jun-18 09:49
Re: You down and dirty so-n-so 421 Sirfiroth 27-Jun-18 17:12
The math or the pyramid? 358 drew 27-Jun-18 20:46
Re: You down and dirty so-n-so 277 DavidK 17-Jul-18 23:04
Re: You down and dirty so-n-so 300 Sirfiroth 17-Jul-18 23:16
Re: You down and dirty so-n-so 292 DavidK 17-Jul-18 23:20
Re: Pi or no Pi ?????????????? 401 spaceyhippie 19-Jul-18 10:32
Re: Pi or no Pi ?????????????? 319 molder 19-Jul-18 11:21
Re: Pi or no Pi ?????????????? 363 Sirfiroth 19-Jul-18 12:05
Re: Pi or no Pi ?????????????? 489 spaceyhippie 19-Jul-18 23:57
Re: Pi or no Pi ?????????????? 342 DavidK 20-Jul-18 08:20
Re: Pi or no Pi ?????????????? 395 spaceyhippie 20-Jul-18 21:58
Re: Pi or no Pi ?????????????? 276 DavidK 22-Jul-18 09:41
Re: Pi or no Pi ?????????????? 381 spaceyhippie 23-Jul-18 02:15
Re: Pi or no Pi ?????????????? 316 DavidK 23-Jul-18 08:09
Re: Pi or no Pi ?????????????? 338 Sirfiroth 23-Jul-18 13:49
Re: Pi or no Pi ?????????????? 312 DavidK 23-Jul-18 22:23
Re: Pi or no Pi ?????????????? 669 Sirfiroth 23-Jul-18 23:52
Re: Pi or no Pi ?????????????? 331 DavidK 24-Jul-18 09:11
Re: Pi or no Pi ?????????????? 279 Sirfiroth 24-Jul-18 13:11
Re: Pi or no Pi ?????????????? 268 DavidK 27-Jul-18 06:13
Re: Pi or no Pi ?????????????? 304 Sirfiroth 27-Jul-18 15:45
Re: Pi or no Pi ?????????????? 366 spaceyhippie 24-Jul-18 02:44
Re: Pi or no Pi ?????????????? 376 DavidK 24-Jul-18 17:10
Re: Pi or no Pi ?????????????? 426 spaceyhippie 27-Jul-18 00:51
Re: Pi or no Pi ?????????????? 337 spaceyhippie 27-Jul-18 14:36
Re: Pi or no Pi ?????????????? 456 spaceyhippie 29-Jul-18 11:01
Re: Pi or no Pi ?????????????? 340 DavidK 06-Aug-18 19:15
Re: Pi or no Pi ?????????????? 313 DavidK 07-Aug-18 05:16
Re: Pi or no Pi ?????????????? 315 spaceyhippie 08-Aug-18 09:20
Re: Pi or no Pi ?????????????? 323 DavidK 08-Aug-18 09:39
Re: Pi or no Pi ?????????????? 351 spaceyhippie 09-Aug-18 02:32
Re: Pi or no Pi ?????????????? 380 DavidK 09-Aug-18 08:00
ROTFLMAO! 272 Sirfiroth 09-Aug-18 13:22
Re: ROTFLMAO! 279 DavidK 09-Aug-18 14:12
Re: ROTFLMAO! 414 Sirfiroth 09-Aug-18 14:28
Re: ROTFLMAO! 265 DavidK 09-Aug-18 14:49
Re: ROTFLMAO! 273 Sirfiroth 09-Aug-18 15:03
Re: ROTFLMAO! 286 DavidK 09-Aug-18 21:39
Re: ROTFLMAO! 311 Sirfiroth 10-Aug-18 02:06
Re: Pi or no Pi ?????????????? 324 spaceyhippie 09-Aug-18 20:40
Re: Pi or no Pi ?????????????? 378 DavidK 10-Aug-18 07:59
Re: Pi or no Pi ?????????????? 384 Steve Clayton 12-Aug-18 18:16
Re: Pi or no Pi ?????????????? 170 DavidK 27-Dec-19 23:13
Re: Pi or no Pi ?????????????? 155 Sirfiroth 28-Dec-19 03:46
Pi. All Pi. All The Time. 170 thinkitover 28-Dec-19 04:59
Re: Pi. All Pi. All The Time. 144 molder 28-Dec-19 10:35
Re: Pi or no Pi ?????????????? 142 DavidK 28-Dec-19 10:20
Re: Pi or no Pi ?????????????? 152 Sirfiroth 28-Dec-19 15:13
Re: Pi or no Pi ?????????????? 171 Thanos5150 28-Dec-19 16:30
Re: Pi or no Pi ?????????????? 160 thinkitover 28-Dec-19 21:49
Re: Pi or no Pi ?????????????? 157 Thanos5150 29-Dec-19 04:35
Re: Pi or no Pi ?????????????? 149 Sirfiroth 29-Dec-19 02:17
Re: Pi or no Pi ?????????????? 153 molder 29-Dec-19 04:14
Re: Pi or no Pi ?????????????? 146 Sirfiroth 29-Dec-19 12:51
Re: Pi or no Pi ?????????????? 146 molder 29-Dec-19 22:31
Re: Pi or no Pi ?????????????? 138 Sirfiroth 30-Dec-19 14:11
Re: Pi or no Pi ?????????????? 185 magisterchessmutt 30-Dec-19 15:16
Re: Pi or no Pi ?????????????? 144 Sirfiroth 31-Dec-19 03:33
Re: Pi or no Pi ?????????????? 190 magisterchessmutt 31-Dec-19 04:33
Re: Pi or no Pi ?????????????? 162 Sirfiroth 31-Dec-19 15:04
Re: Pi or no Pi ?????????????? 170 spaceyhippie 31-Dec-19 23:37
Re: Pi or no Pi ?????????????? 164 Thanos5150 29-Dec-19 04:29
Re: Pi or no Pi ?????????????? 150 DavidK 29-Dec-19 09:32
Re: Pi or no Pi ?????????????? 156 Sirfiroth 29-Dec-19 14:09
Re: Pi or no Pi ?????????????? 154 spaceyhippie 01-Jan-20 23:18
Re: Pi or no Pi ?????????????? 169 Sirfiroth 02-Jan-20 01:33
Pi vs Pudding 158 thinkitover 02-Jan-20 21:45
Re: Pi vs Pudding 149 spaceyhippie 03-Jan-20 00:06
Re: Pi vs Pudding 167 seasmith 03-Jan-20 00:24
Re: Pi vs Pudding 149 spaceyhippie 07-Jan-20 23:06
Re: Pi vs Pudding 192 seasmith 08-Jan-20 02:54
Re: Pi vs Pudding 157 Sirfiroth 03-Jan-20 03:36
Re: Pi vs Pudding 157 molder 03-Jan-20 06:56
Re: Pi vs Pudding 159 Sirfiroth 03-Jan-20 18:25
Re: Pi vs Pudding 154 spaceyhippie 04-Jan-20 00:02
LOL, now that was hilarious ! 152 Sirfiroth 04-Jan-20 05:51
Re: LOL, now that was hilarious ! 197 hendrik dirker 04-Jan-20 09:32
Re: LOL, now that was hilarious ! 142 spaceyhippie 04-Jan-20 23:37
Re: LOL, now that was hilarious ! 152 spaceyhippie 04-Jan-20 23:39
Re: Pi vs Pudding 170 molder 04-Jan-20 11:03
Re: Pi vs Pudding 160 Sirfiroth 05-Jan-20 20:11
Re: Pi vs Pudding 150 molder 06-Jan-20 02:55
Re: Pi vs Pudding 179 magisterchessmutt 06-Jan-20 02:58
Re: Pi vs Pudding 145 molder 06-Jan-20 05:26
Re: Pi vs Pudding 148 spaceyhippie 07-Jan-20 01:32
Re: Pi vs Pudding 136 DavidK 07-Jan-20 02:02
Re: Pi vs Pudding 150 thinkitover 06-Jan-20 06:13
Re: Pi vs Pudding 165 Sirfiroth 07-Jan-20 02:18
Re: Pi vs Pudding 134 DavidK 07-Jan-20 14:25
Re: Pi vs Pudding 147 Sirfiroth 07-Jan-20 15:16
Re: Pi vs Pudding 146 DavidK 07-Jan-20 19:03
Re: Pi vs Pudding 140 Sirfiroth 07-Jan-20 20:08
Re: Pi vs Pudding 139 DavidK 07-Jan-20 20:11
Re: Pi or no Pi ?????????????? 166 DavidK 28-Dec-19 11:21
Re: Pi or no Pi ?????????????? 161 engbren 28-Dec-19 12:34
Re: Pi or no Pi ?????????????? 161 Sirfiroth 28-Dec-19 15:55
Re: Pi or no Pi ?????????????? 150 engbren 29-Dec-19 01:14
Re: Pi or no Pi ?????????????? 150 Sirfiroth 30-Dec-19 16:52
Re: Pi or no Pi ?????????????? 151 engbren 30-Dec-19 22:23
Re: Pi or no Pi ?????????????? 209 magisterchessmutt 30-Dec-19 23:24
Re: Pi or no Pi ?????????????? 175 engbren 31-Dec-19 11:31
Re: Pi or no Pi ?????????????? 158 spaceyhippie 04-Jan-20 00:42


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