I've been briefly looking for some patterns in the binary versions of various things since nobody else is. Maybe if we find that particular patterns in powers of 2 come up that we can find a way to go from iteration to calculation. VQC has hinted as such, after all, however vaguely.

Here are the first 100 triangle numbers in base 2:

0000000000001

0000000000011

0000000000110

0000000001010

0000000001111

0000000010101

0000000011100

0000000100100

0000000101101

0000000110111

0000001000010

0000001001110

0000001011011

0000001101001

0000001111000

0000010001000

0000010011001

0000010101011

0000010111110

0000011010010

0000011100111

0000011111101

0000100010100

0000100101100

0000101000101

0000101011111

0000101111010

0000110010110

0000110110011

0000111010001

0000111110000

0001000010000

0001000110001

0001001010011

0001001110110

0001010011010

0001010111111

0001011100101

0001100001100

0001100110100

0001101011101

0001110000111

0001110110010

0001111011110

0010000001011

0010000111001

0010001101000

0010010011000

0010011001001

0010011111011

0010100101110

0010101100010

0010110010111

0010111001101

0011000000100

0011000111100

0011001110101

0011010101111

0011011101010

0011100100110

0011101100011

0011110100001

0011111100000

0100000100000

0100001100001

0100010100011

0100011100110

0100100101010

0100101101111

0100110110101

0100111111100

0101001000100

0101010001101

0101011010111

0101100100010

0101101101110

0101110111011

0110000001001

0110001011000

0110010101000

0110011111001

0110101001011

0110110011110

0110111110010

0111001000111

0111010011101

0111011110100

0111101001100

0111110100101

0111111111111

1000001011010

1000010110110

1000100010011

1000101110001

1000111010000

1001000110000

1001010010001

1001011110011

1001101010110

1001110111010

>>5261

There are a few complicated visual patterns but there are some simple things I noticed that I'll point out first. Whether these patterns have any relevance, I don't know. The point is to find patterns and then figure out if they're relevant. What I thought was that maybe some of these patterns also occur in prime numbers or something, as in maybe they're made up of similar patterns of powers of 2. Either way, some of them definitely don't seem like visual coincidence.

For anyone who doesn't know much about how binary works, from right to left, it you want to convert it to decimal, you add each column based on it being 2 to the power of however many digits in you are minus 1. So, if there's a 1 in the fourth column across and the second column (i.e. 1010), the rightmost 0 represents 2^0 (but it's a 0 so you don't add it), the next one represents 2^1 (so add 2), the next is 2^2 (but it's 0), and the next is 2^3 (so add 8). That means 1010 in binary is 10 in decimal.

So, patterns. Firstly, in the 2^0 column from top to bottom (far right, 2^0 = 1 to translate to decimal), the pattern is 1100 repeated. In the 2^1 column (next one to the left, 2^1 = 2), it's 01111000 repeated. From then on the patterns get more complicated (so in the 2^2 column, it's 0010111111010000). It seems like the patterns double in size each time, but I don't know how patterns from 2^2 onwards come about. If there is some way of figuring that out, there's a way of calculating which powers of 2 are in which triangle numbers.

Secondly, you can see how many triangle numbers there are with a particular highest power of 2 (based on the leftmost 1), and this has a pattern too. It seems like a weird pattern so far.

1 1 1 2 3 5 7 9 13 19 27

That's how many triangle numbers there are with each ascending power of 2 as its highest. So there are 27 triangle numbers with 2^10 as their highest power of 2. I don't know about the earlier numbers, and I've only looked at this for the first 100 triangle numbers so far, but from 2^6 onwards, it's +2, +4, +6 and +8. So maybe it keeps going like that. That might means there are 37 triangle numbers with 2^11 as their highest power of 2.

Thirdly, there are some things I've noticed visually so I'll have to draw them in Paint or something.

>>5262

So here's a picture of the visual thing I mentioned. Now, where the triangles are light blue, I felt like I might have been seeing triangles because I wanted to see triangles. I can admit that. There definitely are triangular shapes, but they aren't perfectly triangular. That said, the green ones are definitely a pattern. In the earlier powers of 2 downward through the triangle numbers, there are triangles of varying size within the zeroes. There is almost definitely a pattern as to the size of the triangle. As I said, I have no idea what if anything we're meant to do with this information, nor how we'd extrapolate to 8Tu + 1. I'm just trying to follow leads that nobody seems to have followed yet. I think it would be useful to do the same thing with values from endxab and see if any patterns arise that are the same in more than one variable.

>>5298

>>5307

>>5308

Discord is definitely a honeypot. I saw a detailed explanation on /pol/ a while ago. I swear I'm not saying this because I'm the BO here and I'm on some kind of stupid power trip, but I really don't see any reason why we should be using Discord.

>Why wouldn't (((they))) try to dissuade you from utilizing it

It could be argued that (((they))) would actually try to persuade you to use it.

>it'll be all the same people with the same names from here, so it just means moving to a different platform that does the same basic thing but with less useful features

>people can impersonate each other because there aren't tripcodes

>there's less shill protection because you won't have someone who can see IP hashes

>we can't have multiple threads about different topics

>this is meant to be a completely public disclosure

That's my opinion. So why do you think we should use Discord?

>>5311

>they have access to your information anyway, just give it to them even easier

There's a difference between having all of your metadata funneled into NSA warehouses and having it sold to advertising companies. One you can't prevent and the other you can avoid by not going on those websites.

>Can they magically read more than they are here?

I don't understand the relevance.

>CAPITAL LETTERS FOR EMPHASIS

I hope you're not getting mad over this. I'm just trying to have a conversation with you.

>with voice capability

So it's less anonymous? That makes me want to use it less.

>Because we're getting so much more done so much faster due to the difference in platform and usage

How is being on a slightly different website getting anything done any faster?

>Because we're not concerned with working up a solid post.

What, do people actually care about whether their posts seem like they had effort put into them? This is an anonymous imageboard. Nobody's ever cared when people have made useless posts here in the past. Why would they start caring now?

>So that this isn't a bunch of individuals working in the loosest possible tandem by themselves.

How does 8ch force us to work as individuals? People work together on the same things all the time here.

>It's time to come together and wrap this shit up.

That isn't going to happen specifically because we started using Discord. In fact, splintering us and creating a space where we can forget about anons who potentially have useful ideas could quite easily slow us down.

This is the first I've heard of anyone using Discord as a supplement to this board so the fact that everyone thinks some of their posts aren't "complete enough" to post here is news to me. And it doesn't make any sense to me either. This entire time people have continually posted ideas they hadn't fleshed out yet and that nobody understood for a while. I still seriously don't see any reason why using Discord is a good idea that doesn't already apply to 8ch where we're already firmly established, where every post is public, and where people who don't pay attention very often know where to find us. Being secretive also really doesn't seem like a good idea to me. I won't and obviously can't really stop anyone from using it but you're yet to convince me.

>>5312

I'm glad someone agrees with me.