Hi and welcome. This is Colin Power from in2infinity. Yet again, we’re talking about fourth dimensional space give you an overview of some of the mathematical consequences of the x space function and why time function as they come together an algorithm, which is while x plus or minus x, we say over plus or minus y plus or minus, times no or plus or minus y you put the thing in brackets no times just just divide. Yeah, we’re going to take plus or minus x divided by a plus or minus y. And then we’re going to plus that to plus or minus y. So what we can do is obviously we can change the plus or minus y to a z function, and to separate out that number, so that means we get plus or minus x over plus or minus y plus or minus z. And that gives us the three vector function. But we’re gonna just talk about the two vector function for now. Just so we can keep Why is a simple time function. And what the consequences of that well, as you can imagine, if you’ve got plus and a minus plus and minus and all that plus and minus thing going on, it means that you get different types of plus or minus and we saw that order is everything in the fourth dimension. And the reason is, is because we have plus minus and minus plus are different things. And so plus plus and minus minus are also different things. For example, if you use standard mathematics, you can times plus two by plus two and you’ll get plus four or if you times minus two by minus two, you’ll also get a plus four. But, but those two two types of plus form will be different in fourth dimension, they will have a different shape and they will look different they will appear in different types of the number axis. Basically the number axis is divided by some good zero squared, which puts two number lines sort of opposites to each other. So let’s think about this. If we have this, this structure and we decide to put it onto a cross, we can number we can let’s let it across a B, C, D going around in a circle, starting at the top at 12 o’clock, and we can put let’s put a plus plus at the top by a on that cross. We’re going to put a plus minus on the B side, we’re going to put a minus minus on the C side and a minus plus on the D side. And so that’s going to give us an ABCD vector calculation if you imagine Yep. So you know, when we, when we take that, that cross that number cross, we’re going to now compile that with another self numbers of some description. We’re going to take another x y, x y function that has those same four kind of capacities and we’re going to say multiply or divide them or divide it that would be the most simple calculation, wouldn’t it? Yeah. But what we find is that when we do that, we got two options haven’t been everything gets ABC, ABC need to ABC, you know, so every a has ABC, D Yeah. And and so forth. And because there are actually different, even DD will be different to DD seem from the other perspective as it were. Yeah. But when we add all of that up, it means that you know, for each of the four let’s take the number eight. For example, we could have a, we can have a B we can have how you see and we can have a D and each one of those vectors is different. We should mean let’s look at that’d be plus plus. And then we’d have you could even divide it or we could multiply it and minus minus Yeah. If we looked at something else that had a kind of plus plus function in it like the ad Yeah. We see the ad is plus plus and plus or minus, but as a minus plus. Because these are minus plus, isn’t it? Yeah. So each one of those four ABC DS has another ABCD next to it, like two parallel lines. Yeah. And so when we multiply those, we’re really timesing four by four, which you could say is a 16. But, but uh, but if you just count it, rather than actually multiplying it, how many? How many? How many ways can we proceed? What can we do? Yeah, we could multiply it. We could also divide it couldn’t. Yeah, yeah, we could divide those numbers. Four divided by four. equals one. Yeah. One to eight. So plus some divide. So divide, and multiplication. You could say, let’s say that that could be an option, isn’t it? Yeah. For these two numbers. Now that we’ve actually got them there. Yeah. We’re going to plus them in all the variations that we can plus or minus them together. And then what we’re going to look at then, so we’re going to times them together, or we could divide them together. And then that’s going to sort of give us for an end function, isn’t it times eight, four times eight. Yeah. And so that becomes 3232. Right? So function 32. And the function of 32 is really important, because it’s actually the number of electrons that we find in the maximum of the electron shell. Yeah. So it was also the half of 64. We think about it. Yeah. So then similar thing where there’s if I do a little switch say I have a 64 bit grid, and I have a switch and I say, Look, that’s negative 632 on one side, positive 32 on the other. And now what I can do is I can utilise that to take one cross as being 132 and the other crosses being another 32 And I can form a multiplication. I can do anything with those 30 twos and that means that you know, I prefer a single switch one and zero, I can or I can do a calculation contact from do a 32 bit calculation, which is quite a lot because it results in a way Yeah. And some of those results might be the same but the fact that the same is there a number comparative, isn’t it we can still compare them. Yeah. So that’s one way of thinking. Yep. And then once, once you start to think about that, we can think well, what do we need them? We need to maybe rotate the A, B and C, D. Yeah, so we can get a Imagine that you were rotating across and you could see from each factory because they were less than that way as rotated. That’s what it was like that way that’s rotated as well though, and it creates a sort of rotation. So we could take one cross, we go ABCD, and we’d go round and it creates a kind of rotational vector that just goes to the and we could take another rotational vector, which could go a D, C, B and go in the other the other direction now, and what we could have is then we can have two bits that just fire off these this selection, isn’t it? Yeah. So that we can just say don’t flip flop between them and make a change on one make a change on the other, make a change on one make a change on the other. That’d be a little too bit operation. And for every time the two bit switches, we can just switch positive minus positive minus positive minus and thinking about then a concept of how we might tie that into a voltage conduit concept. So you know, imagine that we had like a square of eight, which is what we were talking about. So we’re just gonna look now at some kind of concept concept of square numbers. So now we’re gonna do is we’re gonna zero plane in and what the zero plane does really is add to that positive negative is that positive negative switch that takes us up or down through the square. And what we can do is we can we don’t just have to have like a like wire like a one or zero, we could have like, a number up to eight for example. Yep. So that means z, z factor could be ATM. And the way we would build that then we could build a chip itself. That works, let’s say as layers the first layer of b square of eight square seven square of six square five square four square three square to square one. And we could charge that with we could set and transistors in that a different voltages, so that all the all the all the chips would equal, they’d have the same kind of voltage across them. It’s just that one would be smaller or contain less, less chips. Less transistors. So now that we’ve got that concept, we can look at the concept of one squared, two squared, three squared four squared, five squared sixth grade seventh grade eight squared. As a numerical sequence, we can look at that as 149 1625 3649 64. Yes, the square number sequence. And let’s see, what we do is we take the numbers 12345678, we invert them, and so when we’re doing the square one becomes eight, four becomes comprised of seven six comprised of nine comprised of 616 comprise 525. For See, we’re just counting backwards. So we’ve just labelled them backwards in a backwards order, but actually numbered them. And what that happens is now we can times them together, we can create some results. So you can do this math yourself, but one times eight is eight. Yep. Or 08. As you might like, prefer to call it four times seven is 28. to eight. Very interesting. Yeah, let me just run you through the number sequence, oh, 8285480 100 102 98 and 64. The final one, add all that together, you get 534, which is a great number because five plus three plus four equals 12. For some sort of reason, but not only that, is that when we divide by six, which is the number of the zero squared, we get the prime number 89. And the prime number 89. knows the last of the double digit digit Fibonacci sequences. So that’s a great kind of, let’s say, a key indicator or something. Because some Fibonacci sequences run in steps of five, and there’s five single digit numbers and then five double digit numbers and then five triple digit numbers, and that’s how they work in fourth dimension. Anyway, going back to the concept here of what we’re looking at, let’s have a look at those numbers. And how do they fit together? Well, we can see is, you know, like I said, Oh, eight? Yep. And we’ve got 80 Yeah, and we’ve got 28. And in a sense, you could say, look, there’s a 0880 and a two eight there. If you were to look at it more, let’s say just from a sort of numerical perspective, you place the numbers over there. And that’s quite interesting. Is it good? You could say that those things we could make into a kind of code, can we look at a move eight through base 10 And also we could have the idea of to eight, which would be two to eight to 16, so and so forth. So we can do lots of things with that sort of thing. So let’s base those numbers, which is one to four in a triangle. Let’s make a triangle. I’m going to make those numbers one to four those squares, particularly particular square numbers. Those ones are going to come with us. Yes, fantastic. Yep. So you number you’re with us. Yep. One squared, two squared, four squared. So now what we’re gonna do is we’re going to bring forth the some of the numbers here are look, eight squared is 10. But three squared is nine. Yeah. So we’ve got 10 there. On the last one, nine, that’s a difference of one but we could say Oh, nine, couldn’t we? Yeah, you can you understand? It’s like 09 and one zero. We’re working in base 10. Again, Oh, yeah. Fantastic. Yep. So everything’s working in a base 10 function, which explains how base 10 kind of works right. Now. That leaves us with three other numbers. Yeah. Which is a number at position five squared, six squared, seven squared. And if we look at five squared, we find this 106 squared is 102. And seven squared is 98. Yep. So the 49 times 298. So that seems overall a bizarre, doesn’t it? Because actually, if you think about it, what we’ve got there is 100 plus or minus two and that’s what we can assign though, for those last ones. But we might as well just call it plus or minus one if we’re just gonna deal with even numbers only there’s only deal with even numbers. Let’s do that because then it’s just plus or minus one. Set of even number. Yeah. And those numbers associated with the numbers. Six, five and seven. So six, we call it the plus function, five zero function, and seven the minus function. Ah, now what that allows us to do is to for some people, like think about the infinity of sevens, the infinity of sixes, all the other types of infinity that we create, often fourth dimensional mathematics, that the infinity of five just happens to be slap bang in the middle of the infinities. Oh, yes, that’s right. Yes, being in the middle there, cutting the five right the way through the nines. And so actually, when we turn those into infinite infinite sets, we can start to understand we can work with infinite sets in that kind of way as sort of halfing of the Infinity. Anyway, that’s the structure of four dimensional mathematics from the perspective of a cross and a little bit about how zero to the power of three works without plus or minus, we can just set it to eight. And once we said it’s eight, then we can take those squares, and we can build CPUs actually in octahedral format, that don’t really move from that base upwards. Yep. And that’s just half of it, because that was just half of the numbers that we can do that all again, slap bang. In the negative. And what’s great about that is the number 64 is a great number to do that with because it’s a 64 bit, isn’t it? Yeah. And we use those quite a lot. And all we have to have is a divide that into half 32 bit, yeah. Which means that we’re saving more about memory and all that business, and to actually enact the two crosses on all the functions on fourth dimensional mathematic. Then we can also add another 64 bit hack and run them in parallel, just imagine we could add to negative functions. Fantastic. Anyway, that’s enough for me and just about how fourth dimensional mathematic works in a more sort of geometric function of the octahedral space. We call that yeah, it’s essentially the 64 sits in the middle, and everything else comes out of that. Yeah, you can we’ll check that out. What is 534 minus 6447, another prime number. Fantastic. Right. Thank you very much for listening. And we’ll come back to you shortly. Once we’ve got more information and there’s plenty more to come on the structure of numbers involves dimensional mathematics. And if you didn’t get that, don’t worry, just pause it and get yourself a pen and paper and just write it all out for yourself, because that’s the best way to learn. This has been calling power from into infinity, where we’re looking at all the cool things that fourth dimensional mathematics can bring to mathematical communities. And if you like what you hear us join into the conversation at in2infinity.com Until then, goodbye. My name is Colin power. You are awesome. I will see you next time.

### 4D maths and 4D space

Hi, welcome is Colin Power again with another broadcast from into infinity. We’re going to be continuing our topic on