ConwayLife.com

Posted: **August 11th, 2017, 10:36 am**

Rhombic has 7 letters.
7 is prime.
Prime has 5 letters.
There are infinitely many primes.
Infinitely has 10 letters.
5+10=15
Rhombic is 19 years old.
19-15=4
7-4=3
The third planet from the Sun is the Earth.
Earth has 5 letters.
Prime has also 5 letters.
5/5=1
Illuminati has three sides and one eye.
Rhombic is illuminati.
exposing is fun

Posted: **August 11th, 2017, 7:50 pm**

Y(x)=log2(|x|)floor(1-mod(log2(|x|),1))+Y(|x|-2^(floor(log2(|x|))))(1-floor(1-mod(log2(|x|),1)))

Posted: **August 11th, 2017, 10:06 pm**

wwei23 wrote:Y(x)=log2(|x|)floor(1-mod(log2(|x|),1))+Y(|x|-2^(floor(log2(|x|))))(1-floor(1-mod(log2(|x|),1)))

Recursive equation?

Posted: **August 11th, 2017, 10:48 pm**

Fun fact:
This is a fun fact

Posted: **August 11th, 2017, 10:55 pm**

DOUBLE POST but whatever.
I have devised a simple program that has calculated all numbers that are divisible by 11 and also divisible by 11 when reversed and are not palindromes from 0 to 1000. Here they are:

110, 132, 143, 154, 165, 176, 187, 198, 209, 220, 231, 253, 264, 275, 286, 297, 308, 319, 330, 341, 352, 374, 385, 396, 407, 418, 429, 440, 451, 462, 473, 495, 506, 517, 528, 539, 550, 561, 572, 583, 594, 605, 627, 638, 649, 660, 671, 682, 693, 704, 715, 726, 748, 759, 770, 781, 792, 803, 814, 825, 836, 847, 869, 880, 891, 902, 913, 924, 935, 946, 957, 968, 990.

And here are all the numbers which can be divided by 17 and every 3 number (Starting from the first; 12345 becomes 14, 4637232 becomes 472, etc.) can also be divided by 17:

1037, 1207, 1377, 1547, 1717, 1887, 3094, 3264, 3434, 3604, 3774, 3944, 5151, 5321, 5491, 5661, 5831, 6018, 6188, 6358, 6528, 6698, 6868, 8075, 8245, 8415, 8585, 8755, 8925.

Posted: **August 12th, 2017, 12:25 am**

Saka wrote:I have devised a simple program that has calculated all numbers that are divisible by 11 and also divisible by 11 when reversed and are not palindromes

So, basically, the set of all n*11 where n is a one or two digit integer whose digits sum to less than 10, and is not itself a multiple of 11.

Posted: **August 12th, 2017, 12:41 am**

A for awesome wrote: So, basically, the set of all n*11 where n is a one or two digit integer whose digits sum to less than 10, and is not itself a multiple of 11.

Wat.
I kinda get it. Probably.
Let's see...
n = 23
2+3 = 5
23*11 = 253
And indeed, 253 is on the list.
Is this sort of thing possible for anything like the second one or say, "all multiples of 9 that which every 5th digit can be reversed and be divided by 9"?

Posted: **August 12th, 2017, 4:51 am**

Code: Select all

x = 943, y = 426, rule = B3/S23
422b2o$422b2o6$435b2o$435b2o6$448b2o$448b2o6$461b2o$461b2o6$474b2o$
474b2o6$487b2o$487b2o6$500b2o$500b2o6$513b2o$513b2o6$526b2o$526b2o6$
539b2o$539b2o6$552b2o$552b2o6$565b2o$565b2o6$578b2o$578b2o6$591b2o$
591b2o6$604b2o$604b2o6$617b2o$617b2o6$630b2o$630b2o6$643b2o$643b2o6$
656b2o$656b2o6$669b2o$669b2o6$682b2o$682b2o6$695b2o$695b2o6$708b2o$
708b2o6$721b2o$721b2o6$734b2o$734b2o6$747b2o$747b2o6$760b2o$760b2o6$
773b2o$773b2o6$786b2o$786b2o6$799b2o$799b2o6$812b2o$812b2o6$825b2o$
825b2o6$838b2o$838b2o6$851b2o$851b2o6$864b2o$864b2o6$877b2o$877b2o6$
890b2o$890b2o6$903b2o$903b2o6$916b2o$916b2o6$929b2o$929b2o10$922bo$
920bobo$921b2o$926b2o12b3o$926b2o12bo$921b2o18bo$894b2o24bobo$893bobo
26bo$895bo2$870b3o$872bo$871bo$847b2o$846bobo$848bo2$823b3o$825bo$824b
o$800b2o$799bobo$801bo2$776b3o$778bo$777bo$753b2o$752bobo$754bo2$729b
3o$731bo$730bo$706b2o$705bobo$707bo2$682b3o$684bo$683bo$659b2o$658bobo
$660bo2$635b3o$637bo$636bo$612b2o$611bobo$613bo2$588b3o$590bo$589bo$
565b2o$564bobo$566bo2$541b3o$543bo$542bo$518b2o$517bobo$519bo2$494b3o$
496bo$495bo$471b2o$470bobo$472bo2$447b3o$449bo$448bo$424b2o$423bobo$
425bo2$400b3o$402bo$401bo$377b2o$376bobo$378bo2$353b3o$355bo$354bo$
330b2o$329bobo$331bo2$306b3o$308bo$307bo$283b2o$282bobo$284bo2$259b3o$
261bo$260bo$236b2o$235bobo$237bo2$212b3o$214bo$213bo$189b2o$188bobo$
190bo2$165b3o$167bo$166bo$142b2o$141bobo$143bo2$118b3o$120bo$119bo$95b
2o$94bobo$96bo2$71b3o$73bo$72bo$48b2o$47bobo$49bo2$24b3o$26bo$25bo$b2o
$obo$2bo!

Posted: **August 12th, 2017, 7:52 am**

I eat cow large intestines with brown stuff still inside them. It tastes delicious. Not kidding. Try it here in Indonesia for less than $3.

Posted: **August 12th, 2017, 10:56 am**

Saka wrote:Is this sort of thing possible for anything like the second one or say, "all multiples of 9 that which every 5th digit can be reversed and be divided by 9"?

So what you're saying is that every 5th digit adds up to a multiple of 9 in a multiple of 9. (This is a trivial result for multiples of 9, via the "digits in a multiple of 9 add up to a multiple of 9" theorem. Choose something harder next time)

Saka wrote:Fun fact:
This is a fun fact

Well only the facts are true.

Posted: **August 12th, 2017, 4:38 pm**

I clicked randomly on the board index page and this happened:

: The images for the boards are overlaid with the urls for them.; Screen Shot 2017-08-12 at 8.36.38 AM.png (183.16 KiB) Viewed 9357 times

: It converted everything into normal urls; Screen Shot 2017-08-12 at 8.36.48 AM.png (218.46 KiB) Viewed 9357 times

It disappeared when I reloaded.

Posted: **August 12th, 2017, 8:01 pm**

Double wickstrecher:

Code: Select all

x = 4, y = 3, rule = B2ce3-ai/S23
obo$o2bo$bobo!

Posted: **August 12th, 2017, 8:11 pm**

c/7 diagonal:

Code: Select all

x = 5, y = 5, rule = B2ce3-ai/S23
4bo$b2obo$bo2bo2$3o!

Posted: **August 12th, 2017, 8:30 pm**

P19:

Code: Select all

x = 4, y = 4, rule = 23/3/19
2A$2A$2.2A$2.2A!

Posted: **August 13th, 2017, 4:45 am**

Fun fact: if a 1100dB shock wave hit you, it would not blast you away, but rather suck you in, because that shock wave just created a black hole.

Posted: **August 13th, 2017, 7:35 am**

I just realized that Darude is actually a pretty cool name if you ignore english.

Posted: **August 13th, 2017, 7:36 am**

Saka wrote:I just realized that Darude is actually a pretty cool name if you ignore english.

How about Sandstorm?

Posted: **August 13th, 2017, 7:39 am**

gameoflifemaniac wrote:
Saka wrote:I just realized that Darude is actually a pretty cool name if you ignore english.
How about Sandstorm?

Would make a good nickname for a gunman.

Posted: **August 13th, 2017, 10:46 am**

The sun is a deadly lazer.
https://youtu.be/xuCn8ux2gbs?t=3m3s

Posted: **August 13th, 2017, 11:03 am**

you're a nut, you're crazy in the coconut

what is `sesame oil`？

Posted: **August 13th, 2017, 11:13 am**

S
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e,

r
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This is fine.

Posted: **August 13th, 2017, 12:02 pm**

toroidalet wrote:
S
p
a
m
m
i
n
g
l
i
s
t
s
i
s
f
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e,
r
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?
This is fine.

Spamming
lists
is
fine, right?
This is fine.
[beethoven][chopin][bach][rachmanioff][lizst]I love classical and romantic music.[/lizst][/rachmanioff][/bach][/chopin][/Beethoven]

Posted: **August 13th, 2017, 12:16 pm**

IOS GOLLY does not support non-totalistic rules.

Code: Select all

@RULE B345678_S3a4568

*** File autogenerated by saverule. ***


This is a two state, isotropic, non-totalistic rule on the Moore neighbourhood.
The notation used to define the rule was originally proposed by Alan Hensel.
See http://www.ibiblio.org/lifepatterns/neighbors2.html for details


@TABLE


n_states:2
neighborhood:Moore
symmetries:rotate4reflect

var a={0,1}
var b={0,1}
var c={0,1}
var d={0,1}
var e={0,1}
var f={0,1}
var g={0,1}
var h={0,1}

# Birth
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
0,1,1,1,1,0,0,0,0,1
0,1,1,1,0,1,0,0,0,1
0,1,1,1,0,0,1,0,0,1
0,1,1,0,1,1,0,0,0,1
0,1,1,0,1,0,1,0,0,1
0,1,1,0,1,0,0,1,0,1
0,1,1,0,1,0,0,0,1,1
0,1,1,0,0,1,1,0,0,1
0,1,1,0,0,1,0,1,0,1
0,1,1,0,0,1,0,0,1,1
0,1,1,0,0,0,1,1,0,1
0,1,0,1,0,1,0,1,0,1
0,0,1,0,1,0,1,0,1,1
0,1,1,1,1,1,0,0,0,1
0,1,1,1,1,0,1,0,0,1
0,1,1,1,1,0,0,1,0,1
0,1,1,1,1,0,0,0,1,1
0,1,1,1,0,1,1,0,0,1
0,1,1,1,0,1,0,1,0,1
0,1,1,0,1,1,1,0,0,1
0,1,1,0,1,1,0,1,0,1
0,1,1,0,1,0,1,1,0,1
0,1,1,0,1,0,1,0,1,1
0,1,1,1,1,1,1,0,0,1
0,1,1,1,1,1,0,1,0,1
0,1,1,1,1,0,1,1,0,1
0,1,1,1,1,0,1,0,1,1
0,1,1,1,0,1,1,1,0,1
0,1,1,0,1,1,1,0,1,1
0,1,1,1,1,1,1,1,0,1
0,1,1,1,1,1,1,0,1,1
0,1,1,1,1,1,1,1,1,1

# Survival
1,1,1,1,0,0,0,0,0,1
1,1,1,1,1,0,0,0,0,1
1,1,1,1,0,1,0,0,0,1
1,1,1,1,0,0,1,0,0,1
1,1,1,0,1,1,0,0,0,1
1,1,1,0,1,0,1,0,0,1
1,1,1,0,1,0,0,1,0,1
1,1,1,0,1,0,0,0,1,1
1,1,1,0,0,1,1,0,0,1
1,1,1,0,0,1,0,1,0,1
1,1,1,0,0,1,0,0,1,1
1,1,1,0,0,0,1,1,0,1
1,1,0,1,0,1,0,1,0,1
1,0,1,0,1,0,1,0,1,1
1,1,1,1,1,1,0,0,0,1
1,1,1,1,1,0,1,0,0,1
1,1,1,1,1,0,0,1,0,1
1,1,1,1,1,0,0,0,1,1
1,1,1,1,0,1,1,0,0,1
1,1,1,1,0,1,0,1,0,1
1,1,1,0,1,1,1,0,0,1
1,1,1,0,1,1,0,1,0,1
1,1,1,0,1,0,1,1,0,1
1,1,1,0,1,0,1,0,1,1
1,1,1,1,1,1,1,0,0,1
1,1,1,1,1,1,0,1,0,1
1,1,1,1,1,0,1,1,0,1
1,1,1,1,1,0,1,0,1,1
1,1,1,1,0,1,1,1,0,1
1,1,1,0,1,1,1,0,1,1
1,1,1,1,1,1,1,1,1,1

# Death
1,a,b,c,d,e,f,g,h,0


@COLORS

Code: Select all

@RULE B345678_S3a4568
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1}
var b={0,1}
var c={0,1}
var d={0,1}
var e={0,1}
var f={0,1}
var g={0,1}
var h={0,1}
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
0,1,1,1,1,0,0,0,0,1
0,1,1,1,0,1,0,0,0,1
0,1,1,1,0,0,1,0,0,1
0,1,1,0,1,1,0,0,0,1
0,1,1,0,1,0,1,0,0,1
0,1,1,0,1,0,0,1,0,1
0,1,1,0,1,0,0,0,1,1
0,1,1,0,0,1,1,0,0,1
0,1,1,0,0,1,0,1,0,1
0,1,1,0,0,1,0,0,1,1
0,1,1,0,0,0,1,1,0,1
0,1,0,1,0,1,0,1,0,1
0,0,1,0,1,0,1,0,1,1
0,1,1,1,1,1,0,0,0,1
0,1,1,1,1,0,1,0,0,1
0,1,1,1,1,0,0,1,0,1
0,1,1,1,1,0,0,0,1,1
0,1,1,1,0,1,1,0,0,1
0,1,1,1,0,1,0,1,0,1
0,1,1,0,1,1,1,0,0,1
0,1,1,0,1,1,0,1,0,1
0,1,1,0,1,0,1,1,0,1
0,1,1,0,1,0,1,0,1,1
0,1,1,1,1,1,1,0,0,1
0,1,1,1,1,1,0,1,0,1
0,1,1,1,1,0,1,1,0,1
0,1,1,1,1,0,1,0,1,1
0,1,1,1,0,1,1,1,0,1
0,1,1,0,1,1,1,0,1,1
0,1,1,1,1,1,1,1,0,1
0,1,1,1,1,1,1,0,1,1
0,1,1,1,1,1,1,1,1,1
1,1,1,1,0,0,0,0,0,1
1,1,1,1,1,0,0,0,0,1
1,1,1,1,0,1,0,0,0,1
1,1,1,1,0,0,1,0,0,1
1,1,1,0,1,1,0,0,0,1
1,1,1,0,1,0,1,0,0,1
1,1,1,0,1,0,0,1,0,1
1,1,1,0,1,0,0,0,1,1
1,1,1,0,0,1,1,0,0,1
1,1,1,0,0,1,0,1,0,1
1,1,1,0,0,1,0,0,1,1
1,1,1,0,0,0,1,1,0,1
1,1,0,1,0,1,0,1,0,1
1,0,1,0,1,0,1,0,1,1
1,1,1,1,1,1,0,0,0,1
1,1,1,1,1,0,1,0,0,1
1,1,1,1,1,0,0,1,0,1
1,1,1,1,1,0,0,0,1,1
1,1,1,1,0,1,1,0,0,1
1,1,1,1,0,1,0,1,0,1
1,1,1,0,1,1,1,0,0,1
1,1,1,0,1,1,0,1,0,1
1,1,1,0,1,0,1,1,0,1
1,1,1,0,1,0,1,0,1,1
1,1,1,1,1,1,1,0,0,1
1,1,1,1,1,1,0,1,0,1
1,1,1,1,1,0,1,1,0,1
1,1,1,1,1,0,1,0,1,1
1,1,1,1,0,1,1,1,0,1
1,1,1,0,1,1,1,0,1,1
1,1,1,1,1,1,1,1,1,1
1,a,b,c,d,e,f,g,h,0

Posted: **August 13th, 2017, 12:31 pm**

Saka wrote:DOUBLE POST but whatever.
I have devised a simple program that has calculated all numbers that are divisible by 11 and also divisible by 11 when reversed and are not palindromes from 0 to 1000. Here they are:

110, 132, 143, 154, 165, 176, 187, 198, 209, 220, 231, 253, 264, 275, 286, 297, 308, 319, 330, 341, 352, 374, 385, 396, 407, 418, 429, 440, 451, 462, 473, 495, 506, 517, 528, 539, 550, 561, 572, 583, 594, 605, 627, 638, 649, 660, 671, 682, 693, 704, 715, 726, 748, 759, 770, 781, 792, 803, 814, 825, 836, 847, 869, 880, 891, 902, 913, 924, 935, 946, 957, 968, 990.

Only numbers that are not divisible by 10 and are less than their reverses are listed.

Up to 100000:

Divisible by 13:
1495, 1586, 1677, 1768, 1859, 2496, 2587, 2678, 2769, 3497, 3588, 3679, 4498, 4589, 5499, 10595, 10686, 10777, 10868, 10959, 11102, 11596, 11687, 11778, 11869, 12012, 12103, 12597, 12688, 12779, 13013, 13104, 13598, 13689, 14014, 14105, 14599, 15015, 15106, 16016, 16107, 16952, 17017, 17108, 17862, 17953, 18018, 18109, 18772, 18863, 18954, 19019, 19682, 19773, 19864, 19955, 20696, 20787, 20878, 20969, 21203, 21697, 21788, 21879, 22113, 22204, 22698, 22789, 23023, 23114, 23205, 23699, 24024, 24115, 24206, 25025, 25116, 25207, 26026, 26117, 26208, 27027, 27118, 27209, 27963, 28028, 28119, 28873, 28964, 29029, 29783, 29874, 29965, 30797, 30888, 30979, 31304, 31798, 31889, 32214, 32305, 32799, 33124, 33215, 33306, 34034, 34125, 34216, 34307, 35035, 35126, 35217, 35308, 36036, 36127, 36218, 36309, 37037, 37128, 37219, 38038, 38129, 38974, 39039, 39884, 39975, 40898, 40989, 41405, 41899, 42315, 42406, 43225, 43316, 43407, 44135, 44226, 44317, 44408, 45045, 45136, 45227, 45318, 45409, 46046, 46137, 46228, 46319, 47047, 47138, 47229, 48048, 48139, 49049, 49985, 50999, 51506, 52416, 52507, 53326, 53417, 53508, 54236, 54327, 54418, 54509, 55146, 55237, 55328, 55419, 56056, 56147, 56238, 56329, 57057, 57148, 57239, 58058, 58149, 59059, 61607, 62517, 62608, 63427, 63518, 63609, 64337, 64428, 64519, 65247, 65338, 65429, 66157, 66248, 66339, 67067, 67158, 67249, 68068, 68159, 69069, 71708, 72618, 72709, 73528, 73619, 74438, 74529, 75348, 75439, 76258, 76349, 77168, 77259, 78078, 78169, 79079, 81809, 82719, 83629, 84539, 85449, 86359, 87269, 88179 and 89089.

Divisible by 17:
1156, 1207, 1479, 3604, 3876, 3927, 4386, 4437, 7718, 10047, 11883, 11934, 12393, 12444, 12767, 12818, 13005, 13277, 13328, 15402, 15674, 15725, 15997, 16184, 16235, 16558, 16609, 17068, 17119, 18632, 18955, 19142, 19465, 19516, 19788, 19839, 20774, 20825, 21284, 21335, 21658, 21709, 22168, 22219, 24565, 24616, 24888, 24939, 25075, 25126, 25398, 25449, 27523, 27795, 27846, 28033, 28356, 28407, 28679, 29189, 30175, 30226, 30498, 30549, 31059, 32895, 32946, 33456, 33507, 33779, 34017, 34289, 35904, 36414, 36686, 36737, 37196, 37247, 39644, 39967, 41786, 41837, 42296, 42347, 45305, 45577, 45628, 46087, 46138, 48535, 48858, 48909, 49045, 49368, 49419, 50677, 50728, 51187, 51238, 53958, 54468, 54519, 55029, 56916, 57426, 57698, 57749, 58259, 60078, 60129, 62798, 62849, 63359, 65807, 66317, 66589, 67099, 69547, 71689, 72199, 75208, 77928, 78438, 86819 and 87329.

Divisible by 19:
2166, 2318, 2489, 3705, 3876, 5396, 5548, 7068, 11134, 11457, 11609, 12692, 12844, 13129, 14364, 14516, 14687, 14839, 15903, 16036, 16359, 17423, 17594, 17746, 19266, 19418, 19589, 20273, 20425, 20596, 20748, 21983, 22268, 23655, 23807, 23978, 25004, 25175, 25327, 25498, 26714, 26885, 28234, 28557, 28709, 29944, 31084, 31236, 31559, 32794, 32946, 33079, 34466, 34618, 34789, 36138, 37525, 37696, 37848, 39045, 39368, 40375, 40527, 40698, 42047, 43757, 43909, 45106, 45277, 45429, 46816, 46987, 48336, 48659, 51186, 51338, 52896, 54568, 56088, 57627, 57798, 59147, 60477, 60629, 62149, 63859, 65208, 65379, 66918, 68438, 71288, 72998, 76019, 77729, 79249, 80579 and 82099.

Divisible by 23:
3358, 4807, 4968, 7498, 11086, 11339, 12282, 12535, 12696, 12949, 13892, 15065, 15318, 15479, 16514, 16675, 16928, 19044, 19458, 20263, 20516, 20677, 21873, 23046, 24656, 24909, 27025, 27186, 27439, 28635, 28796, 31027, 31188, 32384, 32637, 32798, 33994, 35006, 35167, 36616, 36777, 39146, 40365, 40618, 40779, 41975, 43148, 44758, 47127, 47288, 48737, 48898, 51129, 52486, 52739, 55108, 55269, 56718, 56879, 59248, 60467, 67229, 68839, 72588, 80569 and 83099.

wwei23 wrote:...[rachmanioff][lizst]...[/lizst][/rachmanioff]...

*Rachmaninoff*(or Rachmaninov) *Liszt*

Posted: **August 13th, 2017, 1:56 pm**

According to this graph, a portion significantly larger than 1/37 of palindromic numbers are divisible by 37. This is probably because anything divisible by 111 is also divisible by 37. Surprisingly for me, though, it even happens when the numbers are 15 digits.

I just find that interesting. It makes 37's surprising but inevitable property of being a factor of a really small repunit actually seem to matter.

ConwayLife.com

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Cool double binary counter

I forgot how to do this

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multiple darudes are darudae

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