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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 ?????????????? 2981 Sirfiroth 06-Feb-18 03:26
Re: Pi or no Pi ?????????????? 445 drew 06-Feb-18 04:18
Re: Pi or no Pi ?????????????? 404 Sirfiroth 06-Feb-18 17:37
Re: Pi or no Pi ?????????????? 330 drew 06-Feb-18 23:32
Re: Pi or no Pi ???????????????? 380 Dr. Troglodyte 07-Feb-18 14:44
Re: Pi or no Pi ?????????????? 298 molder 08-Feb-18 05:09
Re: Pi or no Pi ?????????????? 302 Sirfiroth 08-Feb-18 06:43
Re: Pi or no Pi ?????????????? 298 DavidK 08-Feb-18 10:48
Re: Pi or no Pi ?????????????? 297 molder 08-Feb-18 11:56
linking egyptian Pi to imperial Pi 239 DavidK 08-Feb-18 15:10
Re: Pi or no Pi ?????????????? 253 DavidK 08-Feb-18 13:58
cubit of 20.25? 196 DavidK 08-Feb-18 14:12
where does Fibonacci Pi come from? 240 DavidK 08-Feb-18 14:49
Re: cubit of 20.25? 283 Sirfiroth 08-Feb-18 15:08
Re: cubit of 20.25? 264 DavidK 08-Feb-18 15:15
Re: cubit of 20.25? 255 molder 09-Feb-18 03:58
Mod Note > Off-Topic Posts 258 Dr. Troglodyte 09-Feb-18 16:38
Re: cubit of 20.25? 368 Sirfiroth 09-Feb-18 21:02
Oh...what a shame... 289 drew 09-Feb-18 00:33
Re: Oh...what a shame... 293 Sirfiroth 09-Feb-18 04:47
Re: Oh...what a shame... 291 drew 09-Feb-18 06:02
Re: Oh...what a shame... 307 Sirfiroth 09-Feb-18 13:28
Re: Oh...what a shame... 289 DavidK 22-Jun-18 05:58
Re: Oh...what a shame... 241 drew 22-Jun-18 09:54
Re: Oh...what a shame... 295 Sirfiroth 22-Jun-18 13:32
Re: Oh...what a shame... 272 drew 22-Jun-18 22:27
Re: Oh...what a shame... 268 Sirfiroth 23-Jun-18 01:48
Re: well put 245 drew 23-Jun-18 08:08
To put it bluntly! 282 Sirfiroth 23-Jun-18 12:40
Re: well put 268 Manu 23-Jun-18 18:33
Re: extensions of numbers 215 drew 24-Jun-18 00:40
Re: extensions of numbers 274 Sirfiroth 24-Jun-18 04:50
Re: extensions of numbers 187 drew 24-Jun-18 08:36
Re: extensions of numbers 213 Sirfiroth 24-Jun-18 12:22
Re: extensions of numbers 216 drew 24-Jun-18 20:53
Re: extensions of numbers 215 Sirfiroth 25-Jun-18 16:06
Re: extensions of numbers 177 DavidK 25-Jun-18 16:13
Re: extensions of numbers 183 Sirfiroth 25-Jun-18 16:46
the primitive calculator 207 drew 25-Jun-18 23:23
Re: the primitive calculator 240 Sirfiroth 26-Jun-18 02:24
Re: the primitive calculator 190 drew 26-Jun-18 07:06
Mod Note > Duplicate Post Removed 207 Dr. Troglodyte 26-Jun-18 12:45
Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 232 rodz111 26-Jun-18 13:55
Re: Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 165 drew 27-Jun-18 05:18
Re: the primitive calculator 199 Sirfiroth 26-Jun-18 17:00
Re: the primitive calculator 222 drew 27-Jun-18 00:01
Re: the primitive calculator 213 Sirfiroth 27-Jun-18 00:18
Re: the primitive calculator 194 drew 27-Jun-18 01:56
Re: well put 191 cloister 24-Jun-18 09:43
Re: well put 219 Manu 24-Jun-18 12:59
Re: well put 208 cloister 24-Jun-18 18:14
Re: well put 244 cloister 29-Jun-18 08:48
Re: well put 181 drew 27-Jun-18 05:11
Re: Oh...what a shame... 255 Sirfiroth 22-Jun-18 12:21
Re: Oh...what a shame... 281 molder 23-Jun-18 00:24
Re: Oh...what a shame... 244 DavidK 23-Jun-18 21:06
Re: Oh...what a shame... 200 DavidK 24-Jun-18 07:41
Understanding the differences! 209 Sirfiroth 24-Jun-18 12:50
No pie for jacob 267 DavidK 24-Jun-18 08:54
Re: No pie for jacob 219 Sirfiroth 25-Jun-18 16:44
Re: No pie for jacob 234 DavidK 25-Jun-18 20:21
Re: No pie for jacob 196 Sirfiroth 25-Jun-18 23:19
Re: 5 values for pi in GP here are 3 205 molder 26-Jun-18 00:51
Re: what value for pi? 201 drew 26-Jun-18 14:11
Re: what value for pi? 200 molder 26-Jun-18 21:30
Re: what value for pi? 185 drew 26-Jun-18 23:42
Re: 5 values for pi in GP here are 3 191 Sirfiroth 26-Jun-18 14:55
Re: 5 values for pi in GP here are 3 237 molder 26-Jun-18 21:18
Re: No pie for jacob 218 DavidK 26-Jun-18 10:34
Re: No pie for jacob 189 Sirfiroth 26-Jun-18 15:02
Re: No pie for jacob 188 DavidK 26-Jun-18 16:46
Re: No pie for jacob 200 Sirfiroth 26-Jun-18 17:12
Re: No pie for jacob 191 DavidK 26-Jun-18 18:58
Re: No pie for jacob 201 Sirfiroth 26-Jun-18 22:59
Re: No pie for jacob 190 DUNE 26-Jun-18 19:52
Re: No pie for jacob 179 DavidK 26-Jun-18 21:18
Re: No pie for jacob 202 Sirfiroth 26-Jun-18 23:10
Hard evidence for base 100 using egyptian maths 211 DavidK 27-Jun-18 05:37
Re: Hard evidence for base 100 using egyptian maths 214 drew 27-Jun-18 06:16
Re: Hard evidence for base 100 using egyptian maths 207 DavidK 27-Jun-18 10:25
Re: Hard evidence for base 100 using egyptian maths 216 drew 27-Jun-18 21:18
Re: Pi or no Pi ?????????????? 230 rodz111 25-Jun-18 17:48
Re: Pi or no Pi ?????????????? 243 Sirfiroth 25-Jun-18 19:54
Re: Pi or no Pi ?????????????? 191 rodz111 26-Jun-18 03:13
Re: Pi or no Pi ?????????????? 218 molder 26-Jun-18 03:19
Re: Pi or no Pi ?????????????? 214 rodz111 26-Jun-18 03:30
Re: Pi or no Pi ?????????????? 216 molder 26-Jun-18 21:52
Re: Pi or no Pi ?????????????? 249 rodz111 28-Jun-18 07:44
Re: Pi or no Pi ?????????????? 193 drew 28-Jun-18 09:56
Re: Pi or no Pi ?????????????? 239 rodz111 28-Jun-18 11:09
Re: Pi or no Pi ?????????????? 197 drew 28-Jun-18 17:13
Re: Pi or no Pi ?????????????? 227 DavidK 28-Jun-18 20:00
Tripping over museum rods 219 drew 28-Jun-18 23:52
Museum rods 210 drew 29-Jun-18 00:20
Re: Pi or no Pi ?????????????? 227 rodz111 29-Jun-18 00:37
You're as much as a complainer as anyone but you're not... 223 drew 29-Jun-18 01:24
Re: Pi or no Pi ?????????????? 282 rodz111 30-Jun-18 01:21
You down and dirty so-n-so 225 drew 27-Jun-18 05:29
Re: You down and dirty so-n-so 175 Sirfiroth 27-Jun-18 08:17
Re: You down and dirty so-n-so 186 drew 27-Jun-18 09:49
Re: You down and dirty so-n-so 280 Sirfiroth 27-Jun-18 17:12
The math or the pyramid? 239 drew 27-Jun-18 20:46
Re: You down and dirty so-n-so 166 DavidK 17-Jul-18 23:04
Re: You down and dirty so-n-so 174 Sirfiroth 17-Jul-18 23:16
Re: You down and dirty so-n-so 187 DavidK 17-Jul-18 23:20
Re: Pi or no Pi ?????????????? 274 spaceyhippie 19-Jul-18 10:32
Re: Pi or no Pi ?????????????? 208 molder 19-Jul-18 11:21
Re: Pi or no Pi ?????????????? 252 Sirfiroth 19-Jul-18 12:05
Re: Pi or no Pi ?????????????? 300 spaceyhippie 19-Jul-18 23:57
Re: Pi or no Pi ?????????????? 212 DavidK 20-Jul-18 08:20
Re: Pi or no Pi ?????????????? 270 spaceyhippie 20-Jul-18 21:58
Re: Pi or no Pi ?????????????? 167 DavidK 22-Jul-18 09:41
Re: Pi or no Pi ?????????????? 265 spaceyhippie 23-Jul-18 02:15
Re: Pi or no Pi ?????????????? 211 DavidK 23-Jul-18 08:09
Re: Pi or no Pi ?????????????? 213 Sirfiroth 23-Jul-18 13:49
Re: Pi or no Pi ?????????????? 197 DavidK 23-Jul-18 22:23
Re: Pi or no Pi ?????????????? 200 Sirfiroth 23-Jul-18 23:52
Re: Pi or no Pi ?????????????? 211 DavidK 24-Jul-18 09:11
Re: Pi or no Pi ?????????????? 168 Sirfiroth 24-Jul-18 13:11
Re: Pi or no Pi ?????????????? 154 DavidK 27-Jul-18 06:13
Re: Pi or no Pi ?????????????? 192 Sirfiroth 27-Jul-18 15:45
Re: Pi or no Pi ?????????????? 252 spaceyhippie 24-Jul-18 02:44
Re: Pi or no Pi ?????????????? 245 DavidK 24-Jul-18 17:10
Re: Pi or no Pi ?????????????? 271 spaceyhippie 27-Jul-18 00:51
Re: Pi or no Pi ?????????????? 238 spaceyhippie 27-Jul-18 14:36
Re: Pi or no Pi ?????????????? 331 spaceyhippie 29-Jul-18 11:01
Re: Pi or no Pi ?????????????? 221 DavidK 06-Aug-18 19:15
Re: Pi or no Pi ?????????????? 186 DavidK 07-Aug-18 05:16
Re: Pi or no Pi ?????????????? 216 spaceyhippie 08-Aug-18 09:20
Re: Pi or no Pi ?????????????? 213 DavidK 08-Aug-18 09:39
Re: Pi or no Pi ?????????????? 237 spaceyhippie 09-Aug-18 02:32
Re: Pi or no Pi ?????????????? 262 DavidK 09-Aug-18 08:00
ROTFLMAO! 174 Sirfiroth 09-Aug-18 13:22
Re: ROTFLMAO! 171 DavidK 09-Aug-18 14:12
Re: ROTFLMAO! 165 Sirfiroth 09-Aug-18 14:28
Re: ROTFLMAO! 165 DavidK 09-Aug-18 14:49
Re: ROTFLMAO! 171 Sirfiroth 09-Aug-18 15:03
Re: ROTFLMAO! 173 DavidK 09-Aug-18 21:39
Re: ROTFLMAO! 199 Sirfiroth 10-Aug-18 02:06
Re: Pi or no Pi ?????????????? 215 spaceyhippie 09-Aug-18 20:40
Re: Pi or no Pi ?????????????? 239 DavidK 10-Aug-18 07:59
Re: Pi or no Pi ?????????????? 278 Steve Clayton 12-Aug-18 18:16
Re: Pi or no Pi ?????????????? 79 DavidK 27-Dec-19 23:13
Re: Pi or no Pi ?????????????? 67 Sirfiroth 28-Dec-19 03:46
Pi. All Pi. All The Time. 72 thinkitover 28-Dec-19 04:59
Re: Pi. All Pi. All The Time. 55 molder 28-Dec-19 10:35
Re: Pi or no Pi ?????????????? 53 DavidK 28-Dec-19 10:20
Re: Pi or no Pi ?????????????? 65 Sirfiroth 28-Dec-19 15:13
Re: Pi or no Pi ?????????????? 77 Thanos5150 28-Dec-19 16:30
Re: Pi or no Pi ?????????????? 64 thinkitover 28-Dec-19 21:49
Re: Pi or no Pi ?????????????? 60 Thanos5150 29-Dec-19 04:35
Re: Pi or no Pi ?????????????? 65 Sirfiroth 29-Dec-19 02:17
Re: Pi or no Pi ?????????????? 55 molder 29-Dec-19 04:14
Re: Pi or no Pi ?????????????? 60 Sirfiroth 29-Dec-19 12:51
Re: Pi or no Pi ?????????????? 50 molder 29-Dec-19 22:31
Re: Pi or no Pi ?????????????? 52 Sirfiroth 30-Dec-19 14:11
Re: Pi or no Pi ?????????????? 51 magisterchessmutt 30-Dec-19 15:16
Re: Pi or no Pi ?????????????? 52 Sirfiroth 31-Dec-19 03:33
Re: Pi or no Pi ?????????????? 56 magisterchessmutt 31-Dec-19 04:33
Re: Pi or no Pi ?????????????? 63 Sirfiroth 31-Dec-19 15:04
Re: Pi or no Pi ?????????????? 65 spaceyhippie 31-Dec-19 23:37
Re: Pi or no Pi ?????????????? 65 Thanos5150 29-Dec-19 04:29
Re: Pi or no Pi ?????????????? 59 DavidK 29-Dec-19 09:32
Re: Pi or no Pi ?????????????? 65 Sirfiroth 29-Dec-19 14:09
Re: Pi or no Pi ?????????????? 53 spaceyhippie 01-Jan-20 23:18
Re: Pi or no Pi ?????????????? 75 Sirfiroth 02-Jan-20 01:33
Pi vs Pudding 69 thinkitover 02-Jan-20 21:45
Re: Pi vs Pudding 52 spaceyhippie 03-Jan-20 00:06
Re: Pi vs Pudding 58 seasmith 03-Jan-20 00:24
Re: Pi vs Pudding 55 spaceyhippie 07-Jan-20 23:06
Re: Pi vs Pudding 82 seasmith 08-Jan-20 02:54
Re: Pi vs Pudding 62 Sirfiroth 03-Jan-20 03:36
Re: Pi vs Pudding 54 molder 03-Jan-20 06:56
Re: Pi vs Pudding 62 Sirfiroth 03-Jan-20 18:25
Re: Pi vs Pudding 55 spaceyhippie 04-Jan-20 00:02
LOL, now that was hilarious ! 56 Sirfiroth 04-Jan-20 05:51
Re: LOL, now that was hilarious ! 71 hendrik dirker 04-Jan-20 09:32
Re: LOL, now that was hilarious ! 45 spaceyhippie 04-Jan-20 23:37
Re: LOL, now that was hilarious ! 53 spaceyhippie 04-Jan-20 23:39
Re: Pi vs Pudding 72 molder 04-Jan-20 11:03
Re: Pi vs Pudding 64 Sirfiroth 05-Jan-20 20:11
Re: Pi vs Pudding 45 molder 06-Jan-20 02:55
Re: Pi vs Pudding 49 magisterchessmutt 06-Jan-20 02:58
Re: Pi vs Pudding 46 molder 06-Jan-20 05:26
Re: Pi vs Pudding 50 spaceyhippie 07-Jan-20 01:32
Re: Pi vs Pudding 43 DavidK 07-Jan-20 02:02
Re: Pi vs Pudding 63 thinkitover 06-Jan-20 06:13
Re: Pi vs Pudding 68 Sirfiroth 07-Jan-20 02:18
Re: Pi vs Pudding 43 DavidK 07-Jan-20 14:25
Re: Pi vs Pudding 54 Sirfiroth 07-Jan-20 15:16
Re: Pi vs Pudding 59 DavidK 07-Jan-20 19:03
Re: Pi vs Pudding 46 Sirfiroth 07-Jan-20 20:08
Re: Pi vs Pudding 52 DavidK 07-Jan-20 20:11
Re: Pi or no Pi ?????????????? 72 DavidK 28-Dec-19 11:21
Re: Pi or no Pi ?????????????? 65 engbren 28-Dec-19 12:34
Re: Pi or no Pi ?????????????? 74 Sirfiroth 28-Dec-19 15:55
Re: Pi or no Pi ?????????????? 62 engbren 29-Dec-19 01:14
Re: Pi or no Pi ?????????????? 57 Sirfiroth 30-Dec-19 16:52
Re: Pi or no Pi ?????????????? 58 engbren 30-Dec-19 22:23
Re: Pi or no Pi ?????????????? 81 magisterchessmutt 30-Dec-19 23:24
Re: Pi or no Pi ?????????????? 75 engbren 31-Dec-19 11:31
Re: Pi or no Pi ?????????????? 66 spaceyhippie 04-Jan-20 00:42


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