I noticed early on that there seemed to be an excess of numbering in the wheel drawings in Grundlicher Bericht and Das Triumphans. It looks as though some of the items are ‘over-numbered’. By that I mean that Bessler seems to have labelled the parts with a particular number more than seems necessary. For example the main pillar supporting the wheel is numbered 4, three times. The slimmer pillars are numbered 12, and two of them to the left are numbered twice each, and the other two are only numbered once each.
Some numbers appear more often than others and not just because they are attached to more similar pieces. After number 18 the rest of the numbers are lone examples. I speculated that this was done to achieve a certain total, and having identified each part once with its number, Bessler then sought to add to the total by labelling the same parts more than once. Obviously the higher numbers would make the jumps toward his desired total too big too quickly so he labelled everything once and having acquired a total, he added more of the smaller numbers until he had achieved his desired end. There are other peculiarities in the labelling and why this should have been done was unclear to me at the time.
So the first drawings have 24 numbers, apart from an apparent hiccup over the number 24 getting transposed to number 42 which was deliberate, as I shall show in a later post. The Andere figures use ten numbers, and the waterwheel uses 20.
There is so much more than these simple examples, but clearly there is a reason other than blinding us with mathematical mystification. It has to be something useful to us for reconstruction his wheel.