 So in this video we'll talk about how to make something called Byzantine chain. Now I'm sure you're saying, wait a minute, isn't this supposed to be a math channel? And the answer is, well, it's mostly a math channel, but I do other things besides mathematics. And so one of the things I do to pass the time is I make chainmail jewelry. And one particular type of chain is known as Byzantine chain, and it looks something like this. Which is the piece I was working on in the picture. And a slightly different form of it is here from the Font of All Knowledge Wikipedia. So there's a number of different ways of making Byzantine chain. So here's how I do it. I call this the six-ring method, because we start by forming sets of six rings. Now if you've seen the other videos in this series, which is pretty impressive because this is the very first one I've made, you'll have seen how we can form jump rings by wrapping them around a mandrel or a drill bit, and we get these open jump rings. So we'll take six of them, and we'll start by closing two of them, how about these two. Next we'll take an open jump ring and attach the closed jump rings to it. And we'll do that with a second ring. That'll give us this four-ring sub-assembly that has two rings attached to two rings, and we'll have two rings left over. Now if we're just starting the piece, you'll want to attach those last two rings. So you'll have a six-ring chain, two attached to two, attached to two. It'll look something like this. Here we're going to switch to the magic of CGI, because unfortunately my fingers and my tools are not transparent. So our next step is what's called making the bunny ears. And what we're going to do is we're going to fold back these last pair of rings, like that. And then we'll pull them up through the center of the next set of rings, like this. Now we're going to bring in the other rings that we've created. So we'll hook one of the open rings around the end of the four-jump ring assembly. And we'll bring that in in defiance of gravity. So here you see that four-jump ring assembly we made in the earlier picture. And here comes the complicated part. What we're going to do is we're going to close the red ring so that it locks into the two green rings. And we'll bring in another red ring to make the same connection. And now we're ready to continue the Byzantine chain. So again, what we'll do is we'll do the same process with these two green rings at the end. And after you've been doing this for a while, you can do this while you're binge-watching episodes of Grounded for Life. Next up, how to integrate a transcendental function, or possibly making more chain mail jewelry. I'm not sure which.