These designs are for red belts, the versions for blue belts can be found in the following post.
All these balancers are perfectly input and output balanced, as tested using the command line belt balancer analyser found here: viewtopic.php?f=69&t=34182
Although I spent way too much time reducing the size as much as possible, it might still be possible to shorten some of them.
widths 3 to 8
widths 9 to 12
widths 13 to 16
I also made a few wider balancers, but these skip some widths.widths 20, 24, 32
width 48
Due to the 60k character limit of forum posts, here is the blueprint book with all balancers except the 48:Code: Select all
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