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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 ?????????????? 3085 Sirfiroth 06-Feb-18 03:26
Re: Pi or no Pi ?????????????? 493 drew 06-Feb-18 04:18
Re: Pi or no Pi ?????????????? 455 Sirfiroth 06-Feb-18 17:37
Re: Pi or no Pi ?????????????? 360 drew 06-Feb-18 23:32
Re: Pi or no Pi ???????????????? 419 Dr. Troglodyte 07-Feb-18 14:44
Re: Pi or no Pi ?????????????? 337 molder 08-Feb-18 05:09
Re: Pi or no Pi ?????????????? 345 Sirfiroth 08-Feb-18 06:43
Re: Pi or no Pi ?????????????? 339 DavidK 08-Feb-18 10:48
Re: Pi or no Pi ?????????????? 335 molder 08-Feb-18 11:56
linking egyptian Pi to imperial Pi 283 DavidK 08-Feb-18 15:10
Re: Pi or no Pi ?????????????? 287 DavidK 08-Feb-18 13:58
cubit of 20.25? 249 DavidK 08-Feb-18 14:12
where does Fibonacci Pi come from? 274 DavidK 08-Feb-18 14:49
Re: cubit of 20.25? 340 Sirfiroth 08-Feb-18 15:08
Re: cubit of 20.25? 298 DavidK 08-Feb-18 15:15
Re: cubit of 20.25? 296 molder 09-Feb-18 03:58
Mod Note > Off-Topic Posts 318 Dr. Troglodyte 09-Feb-18 16:38
Re: cubit of 20.25? 444 Sirfiroth 09-Feb-18 21:02
Oh...what a shame... 330 drew 09-Feb-18 00:33
Re: Oh...what a shame... 331 Sirfiroth 09-Feb-18 04:47
Re: Oh...what a shame... 354 drew 09-Feb-18 06:02
Re: Oh...what a shame... 343 Sirfiroth 09-Feb-18 13:28
Re: Oh...what a shame... 334 DavidK 22-Jun-18 05:58
Re: Oh...what a shame... 277 drew 22-Jun-18 09:54
Re: Oh...what a shame... 340 Sirfiroth 22-Jun-18 13:32
Re: Oh...what a shame... 315 drew 22-Jun-18 22:27
Re: Oh...what a shame... 302 Sirfiroth 23-Jun-18 01:48
Re: well put 277 drew 23-Jun-18 08:08
To put it bluntly! 314 Sirfiroth 23-Jun-18 12:40
Re: well put 299 Manu 23-Jun-18 18:33
Re: extensions of numbers 250 drew 24-Jun-18 00:40
Re: extensions of numbers 306 Sirfiroth 24-Jun-18 04:50
Re: extensions of numbers 254 drew 24-Jun-18 08:36
Re: extensions of numbers 249 Sirfiroth 24-Jun-18 12:22
Re: extensions of numbers 257 drew 24-Jun-18 20:53
Re: extensions of numbers 256 Sirfiroth 25-Jun-18 16:06
Re: extensions of numbers 238 DavidK 25-Jun-18 16:13
Re: extensions of numbers 243 Sirfiroth 25-Jun-18 16:46
the primitive calculator 242 drew 25-Jun-18 23:23
Re: the primitive calculator 291 Sirfiroth 26-Jun-18 02:24
Re: the primitive calculator 224 drew 26-Jun-18 07:06
Mod Note > Duplicate Post Removed 255 Dr. Troglodyte 26-Jun-18 12:45
Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 273 rodz111 26-Jun-18 13:55
Re: Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 203 drew 27-Jun-18 05:18
Re: the primitive calculator 262 Sirfiroth 26-Jun-18 17:00
Re: the primitive calculator 260 drew 27-Jun-18 00:01
Re: the primitive calculator 246 Sirfiroth 27-Jun-18 00:18
Re: the primitive calculator 225 drew 27-Jun-18 01:56
Re: well put 223 cloister 24-Jun-18 09:43
Re: well put 253 Manu 24-Jun-18 12:59
Re: well put 247 cloister 24-Jun-18 18:14
Re: well put 296 cloister 29-Jun-18 08:48
Re: well put 231 drew 27-Jun-18 05:11
Re: Oh...what a shame... 300 Sirfiroth 22-Jun-18 12:21
Re: Oh...what a shame... 321 molder 23-Jun-18 00:24
Re: Oh...what a shame... 306 DavidK 23-Jun-18 21:06
Re: Oh...what a shame... 259 DavidK 24-Jun-18 07:41
Understanding the differences! 256 Sirfiroth 24-Jun-18 12:50
No pie for jacob 303 DavidK 24-Jun-18 08:54
Re: No pie for jacob 249 Sirfiroth 25-Jun-18 16:44
Re: No pie for jacob 270 DavidK 25-Jun-18 20:21
Re: No pie for jacob 252 Sirfiroth 25-Jun-18 23:19
Re: 5 values for pi in GP here are 3 236 molder 26-Jun-18 00:51
Re: what value for pi? 233 drew 26-Jun-18 14:11
Re: what value for pi? 272 molder 26-Jun-18 21:30
Re: what value for pi? 225 drew 26-Jun-18 23:42
Re: 5 values for pi in GP here are 3 225 Sirfiroth 26-Jun-18 14:55
Re: 5 values for pi in GP here are 3 271 molder 26-Jun-18 21:18
Re: No pie for jacob 261 DavidK 26-Jun-18 10:34
Re: No pie for jacob 228 Sirfiroth 26-Jun-18 15:02
Re: No pie for jacob 226 DavidK 26-Jun-18 16:46
Re: No pie for jacob 232 Sirfiroth 26-Jun-18 17:12
Re: No pie for jacob 249 DavidK 26-Jun-18 18:58
Re: No pie for jacob 270 Sirfiroth 26-Jun-18 22:59
Re: No pie for jacob 227 DUNE 26-Jun-18 19:52
Re: No pie for jacob 218 DavidK 26-Jun-18 21:18
Re: No pie for jacob 233 Sirfiroth 26-Jun-18 23:10
Hard evidence for base 100 using egyptian maths 242 DavidK 27-Jun-18 05:37
Re: Hard evidence for base 100 using egyptian maths 268 drew 27-Jun-18 06:16
Re: Hard evidence for base 100 using egyptian maths 246 DavidK 27-Jun-18 10:25
Re: Hard evidence for base 100 using egyptian maths 250 drew 27-Jun-18 21:18
Re: Pi or no Pi ?????????????? 277 rodz111 25-Jun-18 17:48
Re: Pi or no Pi ?????????????? 275 Sirfiroth 25-Jun-18 19:54
Re: Pi or no Pi ?????????????? 231 rodz111 26-Jun-18 03:13
Re: Pi or no Pi ?????????????? 266 molder 26-Jun-18 03:19
Re: Pi or no Pi ?????????????? 254 rodz111 26-Jun-18 03:30
Re: Pi or no Pi ?????????????? 249 molder 26-Jun-18 21:52
Re: Pi or no Pi ?????????????? 308 rodz111 28-Jun-18 07:44
Re: Pi or no Pi ?????????????? 245 drew 28-Jun-18 09:56
Re: Pi or no Pi ?????????????? 279 rodz111 28-Jun-18 11:09
Re: Pi or no Pi ?????????????? 262 drew 28-Jun-18 17:13
Re: Pi or no Pi ?????????????? 278 DavidK 28-Jun-18 20:00
Tripping over museum rods 269 drew 28-Jun-18 23:52
Museum rods 245 drew 29-Jun-18 00:20
Re: Pi or no Pi ?????????????? 266 rodz111 29-Jun-18 00:37
You're as much as a complainer as anyone but you're not... 255 drew 29-Jun-18 01:24
Re: Pi or no Pi ?????????????? 322 rodz111 30-Jun-18 01:21
You down and dirty so-n-so 266 drew 27-Jun-18 05:29
Re: You down and dirty so-n-so 210 Sirfiroth 27-Jun-18 08:17
Re: You down and dirty so-n-so 214 drew 27-Jun-18 09:49
Re: You down and dirty so-n-so 330 Sirfiroth 27-Jun-18 17:12
The math or the pyramid? 283 drew 27-Jun-18 20:46
Re: You down and dirty so-n-so 201 DavidK 17-Jul-18 23:04
Re: You down and dirty so-n-so 229 Sirfiroth 17-Jul-18 23:16
Re: You down and dirty so-n-so 222 DavidK 17-Jul-18 23:20
Re: Pi or no Pi ?????????????? 316 spaceyhippie 19-Jul-18 10:32
Re: Pi or no Pi ?????????????? 245 molder 19-Jul-18 11:21
Re: Pi or no Pi ?????????????? 291 Sirfiroth 19-Jul-18 12:05
Re: Pi or no Pi ?????????????? 399 spaceyhippie 19-Jul-18 23:57
Re: Pi or no Pi ?????????????? 253 DavidK 20-Jul-18 08:20
Re: Pi or no Pi ?????????????? 316 spaceyhippie 20-Jul-18 21:58
Re: Pi or no Pi ?????????????? 210 DavidK 22-Jul-18 09:41
Re: Pi or no Pi ?????????????? 304 spaceyhippie 23-Jul-18 02:15
Re: Pi or no Pi ?????????????? 246 DavidK 23-Jul-18 08:09
Re: Pi or no Pi ?????????????? 260 Sirfiroth 23-Jul-18 13:49
Re: Pi or no Pi ?????????????? 238 DavidK 23-Jul-18 22:23
Re: Pi or no Pi ?????????????? 261 Sirfiroth 23-Jul-18 23:52
Re: Pi or no Pi ?????????????? 249 DavidK 24-Jul-18 09:11
Re: Pi or no Pi ?????????????? 207 Sirfiroth 24-Jul-18 13:11
Re: Pi or no Pi ?????????????? 190 DavidK 27-Jul-18 06:13
Re: Pi or no Pi ?????????????? 232 Sirfiroth 27-Jul-18 15:45
Re: Pi or no Pi ?????????????? 297 spaceyhippie 24-Jul-18 02:44
Re: Pi or no Pi ?????????????? 291 DavidK 24-Jul-18 17:10
Re: Pi or no Pi ?????????????? 337 spaceyhippie 27-Jul-18 00:51
Re: Pi or no Pi ?????????????? 274 spaceyhippie 27-Jul-18 14:36
Re: Pi or no Pi ?????????????? 374 spaceyhippie 29-Jul-18 11:01
Re: Pi or no Pi ?????????????? 262 DavidK 06-Aug-18 19:15
Re: Pi or no Pi ?????????????? 241 DavidK 07-Aug-18 05:16
Re: Pi or no Pi ?????????????? 249 spaceyhippie 08-Aug-18 09:20
Re: Pi or no Pi ?????????????? 249 DavidK 08-Aug-18 09:39
Re: Pi or no Pi ?????????????? 289 spaceyhippie 09-Aug-18 02:32
Re: Pi or no Pi ?????????????? 304 DavidK 09-Aug-18 08:00
ROTFLMAO! 206 Sirfiroth 09-Aug-18 13:22
Re: ROTFLMAO! 206 DavidK 09-Aug-18 14:12
Re: ROTFLMAO! 228 Sirfiroth 09-Aug-18 14:28
Re: ROTFLMAO! 196 DavidK 09-Aug-18 14:49
Re: ROTFLMAO! 202 Sirfiroth 09-Aug-18 15:03
Re: ROTFLMAO! 221 DavidK 09-Aug-18 21:39
Re: ROTFLMAO! 238 Sirfiroth 10-Aug-18 02:06
Re: Pi or no Pi ?????????????? 249 spaceyhippie 09-Aug-18 20:40
Re: Pi or no Pi ?????????????? 310 DavidK 10-Aug-18 07:59
Re: Pi or no Pi ?????????????? 315 Steve Clayton 12-Aug-18 18:16
Re: Pi or no Pi ?????????????? 106 DavidK 27-Dec-19 23:13
Re: Pi or no Pi ?????????????? 98 Sirfiroth 28-Dec-19 03:46
Pi. All Pi. All The Time. 106 thinkitover 28-Dec-19 04:59
Re: Pi. All Pi. All The Time. 86 molder 28-Dec-19 10:35
Re: Pi or no Pi ?????????????? 83 DavidK 28-Dec-19 10:20
Re: Pi or no Pi ?????????????? 95 Sirfiroth 28-Dec-19 15:13
Re: Pi or no Pi ?????????????? 108 Thanos5150 28-Dec-19 16:30
Re: Pi or no Pi ?????????????? 96 thinkitover 28-Dec-19 21:49
Re: Pi or no Pi ?????????????? 92 Thanos5150 29-Dec-19 04:35
Re: Pi or no Pi ?????????????? 95 Sirfiroth 29-Dec-19 02:17
Re: Pi or no Pi ?????????????? 85 molder 29-Dec-19 04:14
Re: Pi or no Pi ?????????????? 94 Sirfiroth 29-Dec-19 12:51
Re: Pi or no Pi ?????????????? 79 molder 29-Dec-19 22:31
Re: Pi or no Pi ?????????????? 82 Sirfiroth 30-Dec-19 14:11
Re: Pi or no Pi ?????????????? 114 magisterchessmutt 30-Dec-19 15:16
Re: Pi or no Pi ?????????????? 82 Sirfiroth 31-Dec-19 03:33
Re: Pi or no Pi ?????????????? 116 magisterchessmutt 31-Dec-19 04:33
Re: Pi or no Pi ?????????????? 95 Sirfiroth 31-Dec-19 15:04
Re: Pi or no Pi ?????????????? 97 spaceyhippie 31-Dec-19 23:37
Re: Pi or no Pi ?????????????? 98 Thanos5150 29-Dec-19 04:29
Re: Pi or no Pi ?????????????? 91 DavidK 29-Dec-19 09:32
Re: Pi or no Pi ?????????????? 97 Sirfiroth 29-Dec-19 14:09
Re: Pi or no Pi ?????????????? 86 spaceyhippie 01-Jan-20 23:18
Re: Pi or no Pi ?????????????? 105 Sirfiroth 02-Jan-20 01:33
Pi vs Pudding 102 thinkitover 02-Jan-20 21:45
Re: Pi vs Pudding 83 spaceyhippie 03-Jan-20 00:06
Re: Pi vs Pudding 91 seasmith 03-Jan-20 00:24
Re: Pi vs Pudding 87 spaceyhippie 07-Jan-20 23:06
Re: Pi vs Pudding 123 seasmith 08-Jan-20 02:54
Re: Pi vs Pudding 92 Sirfiroth 03-Jan-20 03:36
Re: Pi vs Pudding 88 molder 03-Jan-20 06:56
Re: Pi vs Pudding 93 Sirfiroth 03-Jan-20 18:25
Re: Pi vs Pudding 85 spaceyhippie 04-Jan-20 00:02
LOL, now that was hilarious ! 86 Sirfiroth 04-Jan-20 05:51
Re: LOL, now that was hilarious ! 104 hendrik dirker 04-Jan-20 09:32
Re: LOL, now that was hilarious ! 77 spaceyhippie 04-Jan-20 23:37
Re: LOL, now that was hilarious ! 87 spaceyhippie 04-Jan-20 23:39
Re: Pi vs Pudding 105 molder 04-Jan-20 11:03
Re: Pi vs Pudding 94 Sirfiroth 05-Jan-20 20:11
Re: Pi vs Pudding 79 molder 06-Jan-20 02:55
Re: Pi vs Pudding 112 magisterchessmutt 06-Jan-20 02:58
Re: Pi vs Pudding 80 molder 06-Jan-20 05:26
Re: Pi vs Pudding 86 spaceyhippie 07-Jan-20 01:32
Re: Pi vs Pudding 75 DavidK 07-Jan-20 02:02
Re: Pi vs Pudding 94 thinkitover 06-Jan-20 06:13
Re: Pi vs Pudding 99 Sirfiroth 07-Jan-20 02:18
Re: Pi vs Pudding 74 DavidK 07-Jan-20 14:25
Re: Pi vs Pudding 84 Sirfiroth 07-Jan-20 15:16
Re: Pi vs Pudding 87 DavidK 07-Jan-20 19:03
Re: Pi vs Pudding 76 Sirfiroth 07-Jan-20 20:08
Re: Pi vs Pudding 79 DavidK 07-Jan-20 20:11
Re: Pi or no Pi ?????????????? 103 DavidK 28-Dec-19 11:21
Re: Pi or no Pi ?????????????? 100 engbren 28-Dec-19 12:34
Re: Pi or no Pi ?????????????? 105 Sirfiroth 28-Dec-19 15:55
Re: Pi or no Pi ?????????????? 91 engbren 29-Dec-19 01:14
Re: Pi or no Pi ?????????????? 91 Sirfiroth 30-Dec-19 16:52
Re: Pi or no Pi ?????????????? 91 engbren 30-Dec-19 22:23
Re: Pi or no Pi ?????????????? 140 magisterchessmutt 30-Dec-19 23:24
Re: Pi or no Pi ?????????????? 108 engbren 31-Dec-19 11:31
Re: Pi or no Pi ?????????????? 98 spaceyhippie 04-Jan-20 00:42


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