Numerology and Alpha-Numerics in Das Triumphirende.

Here's another little coded example.  Please be aware that it has been abbreviated from my own writing and I have omitted some detail but the facts are there for anyone to check.

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.

There are discrepancies between the two drawings which I shall discuss in a later post but for now be aware that in the first drawing the numbers, composed from 59 numbers, add up to 649 which is, interestingly, equal to 59 x 11 (both prime numbers).  In the second drawing the numbers add up to 633, which is 16 short of the 649.  In the second drawing the numbers 5 and one of the 11s has been omitted, which is why the second drawing does not match the 649 of the first drawing (NOTE 5 x 11 =55).  In both drawings the picture cuts off the left hand end of the drawing and in the process cuts off one of the number 11 weights.  If, in the first drawing, this is added to the 649 of the first drawing it produces the number 660, and because we then have 60 numbers, 660 divided by 60 equals 11, but more interestingly, 660 divided by 12 equals 55.  55 is a number we shall see many times during these posts.  This choice of the number twelve to introduce yet another example of the number 55, may seem too speculative, however, fascinating proof that it is the right assumption will appear in my next post

All the drawings in Das Triumphans contain similar number manipulations, the 'Andere Figura' and its companion, 'Secunda Figura', use the numbers from one to ten.  There is obviously a case of overlabelling in the right picture, with four number eights.

The numbers in the left picture add up to 28; those in the right, 62, to total 90.  There are 15 numbers used and 90 divided by 15 is six. This does not seem to be a significant number, however knowing that Bessler’s favourite number was 5, I realised that it divided 90 exactly 18 times – the ubiquitous pentagonal numbers again.  Secondly the numbers used, 1 to 10, add up to a total of 55 – the other Bessler number.

 

The wheel drawing containing the archimedes pump (see above) also uses overlabelling to achieve a specific number. One of the differences between this drawing and the other ones is the fact that in this one the parts are labelled with letters rather than numbers.  However there is one labelled part which is strangely ambiguous and that is the main supporting column which supports the wheel.  It looks like a ‘W’ however it can also be mistaken for the number ten, but this cannot be right because the other parts are labelled with letters.  The answer lies in the attached list of labelled parts; here the list is entirely in letters except for the last item which is undoubtedly labelled 10.  You can see the ambiguity in the expanded detail below, which has two examples of the number ‘10’, or the letter ‘W’.

Why then is the last item called item 10?  The solution seems obvious; the intention is that the reader should replace all the letters with numbers. The letters run from ‘A’ to T’, plus the letter/number 10.  Since 10 is the last item on the list one might suppose that it would represent the letter ‘U’ as ‘T’ was the last letter, but in fact it represents the letter ‘J’.  We know this for the simple reason that ’J’ is omitted from the list of parts and does not appear in the drawing.

 Bessler's use of the letter 'W' was often used as a way of implying the presence of the number ten, consisting as it does of two letter V's or Roman numerals to produce two more 5s.   He wrote it in the style shown below, which was taken from one of hos many handwritten examples.  The letter 'J' it replaces is the 10th letter of the alphabet.

There are 39 numbers, running from 1 to 20, totalling 355.  This does not seem significant until you discover that one of the letter ‘e’s representing the ropes which run around the spokes on the axle, has been omitted in the left side picture.  The one ‘e’ missing could, if replaced, increase the numbers to total 20 in each picture, and the total from 355, to 360.  360 divided by 20 eqals 18, our favourite pentagonal number again - of course 360 divided by the missing 5 equals 72, another pentagon number.


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.

JC

Deciphered Code I Published Previously

I know that most will be aware of this discovery, but just as an introduction to some codes I've deciphered I'm starting with my first real advance, which was the discovery of the pentagram in Bessler's drawing of his wheel in Gruendlicher Bericht and again in Das Triumphans.  The picture below comes from  my own copy of Das Triumphans and the one below that shows how I found the pentagon.

In the next drawing note the coloured lines.  The red line traces the path of the rope as it passes behind the wheel on its way from the pulley on the floor up to the window.

The green line is drawn from the wheel's centre of rotation perpendicular to the red line grazing the edge of a weight on the left end of the 'T' bar and terminating at the period which immediately follows the double x's above the top line.

These two lines cros the circumference of the wheel at three points lines allowing us to fill in two of the five chords which make up the pentagon.  The third point lies at the base of the central support column and the point on the circumference of the wheel, which is missing is provided by the blue line which crosses the wheel from left to right aligned with the 'T' bar on the left side of the drawing and runs through the centre of the wheel and wher it crosses the circumference on the far side, identifies the final point of the pentagon.

The fact hat the pentagon is so obviously intentional does add weight to my contention that there is much more hidden information to be discovered and decoded.

So we have a pentagon; so what?  More will be revealed following subsequent explanation of more codes within the same drawing and it will be seen that there is a perfectly sound reason for the inclusion of this particular geometric design, one that has a mechanical importance.  There is no need to summon the assistance of the 'golden mean' or any of the other mystical sciences.

JC

Masonic Codes, Pythagoras and the Rosicrucians - or are they Red Herrings?

There are several people who have discovered hidden codes within Bessler's writings, which appear to allude to Pythagoras, Masonic and Rosicrucian secrets.  Now some of those codes have also been found and investigated by myself and for me they have been useful, but I didn't need to involve the connections currently pointing towards the above more mystical origins.

I'm not suggesting that those who have described their own findings relating to the above, are wrong, but I think that Bessler, immersed as he was, in the 18th century fascination with all things of that nature, literally filled his books with conundrums of a poetic, prosaic and artistic nature, but they were also informative for those who could separate the former from the latter.

Consequently I see posts on the forum which appear to me to be half right but which have missed their intended point which was to inform us, who came after, how he did it.

There has also been much discussion on calculations and maths - this seems to me simply a distraction from what we are all trying to achieve.  Right from the beginning I always sought to imagine a mechanism which operated in a certain way to achieve Bessler's results, but I didn't need any maths to work it out - and with the help of the hidden information which is to be found in Bessler's book, I'm certain that it will prove possible to reconstruct a working version of Bessler's wheel.

What evidence is there that Bessler intended to leave valuable evidence for future readers of his books?  Bessler leaves several hints that there is more to be found in "Apologia Poetica", than might at first reading be visible.  On page 244, he writes "Let every reader give me the benefit of the doubt and ponder on why this book was written".  On page 246 he writes, "I feel forced to write this book, so that all who read it carefully will end up wiser than they began." On page 295 he writes, "Those who are keen to ask questions should ask them of this little book.  My work shall not be revealed prematurely."  On page 309 he writes, "How will things go for me and this book of mine?  Will people truly understand what I'm getting at? The things that remain to be revealed will have to be left for a future ocasion." and so on.

Bessler commented,  "Let every reader give me the benefit of the doubt and ponder on why this book was written"; so, why was the book writter? If the book was written as an aid to sell his machine then he could have made a much better job of it and made it much shorter.  If it was written as a guide to future readers on how his machine worked, by hiding the necessary information in the book, then that makes more sense.  The inclusion of the various encoded mysteries would have been more easily recognised in his day and thus a search for the hidden information more likely to be started.  But even he had doubts, "will people truly understand what I'm getting at?" he asks.

I will be posting some of my decodings in the next few posts and perhaps these will help convince people that there is information available to those with eyes to see.

JC

I'm back! Welcome one and all.

I must apologise for my absence this last few weeks, but thank goodness my house move is completed!  There are still a few boxes waiting to be opened and the contents made to disappear but we're in at last.  I haven't got my workshop yet but I'm confident I will be back at work on wheel building very soon.

I was about 15 years of age when I first encountered the legend of Bessler's wheel and although I immediately suspected the maid's account of how Bessler fooled everyone who came to see his wheel, I never suspected that I would spend the next 56 years years (the rest of my life so far!) trying to discover how he did it.

I think I know now, at last, but as my wife reminded me, I once told a man I was sitting next on a plan to Florida back in 1996, I was on the verge of a breakthrough even then!  But I wasn't, and it is part of my routine to remind myself to keep my enthusiasn/self-confidence under conrol.

My first wheel took the form of a hollow three dimensional swastika made of balsa wood.  It had one large ballbearing in each leg and remained absolutely motionless unless you nudged it a little when it would turn about a quarter of a revolution and then stop again.

There have been so many different versions since then that I have lost count but it must be well over a hundred and possibly two hundred.  Not a single one has shown any inclination to turn more than five or six turns before stopping.  Am I ever tempted to chuck the whole research after so many failures?  No, because I know that that Bessler's wheel was genuine and I have broken so many pieces of code that I think I have the solution.  I was writing up my conclusions until I started to move house and I shall return to it as soon as I can and I will publish it, but I want if possible, to build it first to test my hypothesis.

I believe that the clues I've found clearly show evidence of Bessler's intention to hide information which would help to understand the workings of his wheel, but the best evidence remains hidden in chaper 55 of the Apologia Poetica.  See my website at http://www.orffyreus.net/ for information about the clues I've found in Apologia Poetica.

Discussions have surfaced again on the besslerwheel forum about the drawings in Apologia Poetica and in Das Triumphans and the inclusion of pentagrams, see my own interpretations at my website at http://www.theorffyreuscode.com./html/apologia_wheel.html

These interpretations were made a few years ago, and I have found and solved many more since then, but as they refer directly to the wheel I am working on (soon!) I prefer to keep  my findings to myself until I have had at least one attemt to translate them into a physical reality.

One thing I do know and that is this, should my own efforts fail I am certan that the information I pass on will lead to a successful working wheel by someone with a more skilled engineering talent.

It's good to be back!

JC