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Byzantine Web Square Cube
Article © MAIL User: Eli

Byzantine Cube is one way to make a 3-dimensional weave using the Byzantine chain as a base weave. Basically it consists of multiple sheets of Byzantine Square Web that are connected to each other vertically using Byzantine cages. Several slight variations can exist of this weave, and I will demonstrate a simple one. It uses the vertical connector rings to anchor the horizontal Byzantine cages that join the sheets together. These vertical connector rings are idle in the sheet Byzantine weaves. Using a tight AR will ensure a stable weave that holds its shape well. It is strongly recommended to use larger connector rings, both horizontal and vertical to reduce the bunching up of the cages at each connector ring. I will be using relatively large rings, together with connector rings that are 25% larger than the rest for clarity.

The method I will show here uses pre-made Byzantine Square Webs and stitches them together. Alternatively, you can make each cage independently or stitch Byzantine chains into the 3-dimensional form. It is best to have experience with Byzantine chain and Square Web before tackling such a complicated weave. The tutorial for Byzantine Square Web can be found here: Byzantine Web Square (CGI). Two tutorials for Byzantine chain are here: Byzantine and Byzantine (CGI).

Unless noted below, silver rings are rings being added to the weave at the step. Brass-yellow rings are the rings the new ones pass through. Copper-red rings are idle rings at the step. Gold rings are rings needing further noting.

This tutorial uses rings with an AR of 5.

1. Make several Byzantine Web Squares. Note how the web is built, having partial Byzantine cages on the edges in one direction. They serve to stabilize the cube. You should make them with both the horizontal and the vertical rings slightly larger than the rest. These rings are marked in gold here:
Image: byzcube01.jpg
2. For your base and top sheets, you should attach 4 rings on one side of every vertical connector ring. Make sure that they are connected like this:
Image: byzcube02.jpg
3. For all of the middle sheets, you need to attach 4 rings on both sides of the connector rings. You can add the other side later, when you are ready to connect a new sheet.
Image: byzcube03.jpg
4. Now, position two sheets one atop the other. They must be properly aligned, or you will run into trouble later:
Image: byzcube04.jpg
5. After you are sure that the sheets match, place them one on another:
Image: byzcube05.jpg
6. Now you need to prepare the first connection. Pull back the two rings furthest from the sheet to which they are connected. Here you can see the rings marked in gold in the position where they should be moved. It is best to start from the edge of the sheet. Note that it doesn’t matter with which sheet you begin:
Image: byzcube06.jpg
7. Now spread the other pair of rings like this. Here they are marked in gold in the position where they are moved:
Image: byzcube07.jpg
8. Do the same thing for the opposite sheet. First pull back the furthest rings:
Image: byzcube08.jpg
9. And then spread the other pair:
Image: byzcube09.jpg
10. Now connect the 4 rings with 2 large rings. Note that they pass through the rings in steps 6 and 8, and between the rings from steps 7 and 9:
Image: byzcube10.jpg
11. Continue stitching the sheets in the same row you started at, until you finish that row. The golden rings are the rings that are spread apart:
Image: byzcube11.jpg
12. Now proceed to stitching the entire sheet this way. It is best to work from edge to edge, so that previous connections won’t interfere with your work. Here you can see the first row connected in green. In this images you should be working from the lower edge to the upper. Note that you also need to stitch the vertical connector rings that are added during the making of the sheet (a clearer view of that follows)
Image: byzcube12.jpg
Here you have a sideways view of the two sheets connected. Again the first row connected is in green. In this image you should be working from left to right:
Image: byzcube13.jpg
13. Continue stitching each sheet using the technique described in steps 5 through 12:
Image: byzcube14.jpg
Now you have a Byzantine Square Cube. This is the view from above, showing the space formed by this particular variant of the weave. More connectors can be added in some places to reduce the empty space.
Image: byzcube15.jpg
And here’s a sideways view. As you can see the space is less visible from this angle.
Image: byzcube16.jpg
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