Yet more Numbering Clues from 'Das Triumphans'.

I know that my continual demonstration of clues I have found in Bessler's work seem to be centred on the existence of hidden pentagrams and a few alphanumeric clues.  The usual question is, so what?  Where are the clues which will lead to constructing a replica of Bessler's wheel?  My point in advertising these seemingly  irrelevant pieces of coding is to show that Bessler wanted us to find them and provided dozens and dozens of them in various forms so that we would eventually get the message and realise that there must be more to find and that it would eventually lead to the discovery of more graphic information and subsequently his wheel.

Many of us are convinced that Bessler's claims were genuine, even though we don't know how he did it.  Assuming he was genuine then, why would he waste his time in creating so many ingenious clues in all of his publications, extolling the virtues of his wonderful machine, and include illustrations that do nothing to tell us about the machines.  Why bother? Because the coded clues are intended to provide information or at least point to where that information can be found  The number 55 rears .its head with monotonous regularity and you'd have to be blind not to see where it's pointing to - his Apologia Poetica, Chapter 55.  http://www.orffyreus.net/html/chapter_55.html  shows everything I've discovered about chpater 55 and it is obviously full of encoded material and one day someone will work out how to decipher it. I confess it has beaten me so far although I understand that there are others working on it who are optimistic that they are making some headway.

So back to the numbering clues in the Das Tri illustrations.  Johann Bessler included an illustration showing the perpetual motion machine at Schloss Weissenstein.  It was connected to an archimedes pump and apparently demonstrated its power to pump water. See the illustration below.

Like the previous one this drawing is in two parts.  It uses letters from the alphabet rather than numbers this time to label the different parts.  The letters run from  'A' to 'T', in lower case.  He has omitted the letter 'J' because as we know, it is used as an alternative to the letter, 'i' in the German 24 letter alphabet, which is present.  Curiously the letter 'W' appears twice at the top of left side drawing and once at the bottom.  I say curiously because the letters 'U' and 'V' have been omitted and yet they are alternatives to each other and one might have expected to find one of them present seeing as their following letter, 'W' is included.

But there is more.  The itemised list that accompanies this illustration includes all the lower case letters with descriptions of the parts, but then uses the number ten in place of the apparent 'W' as seen in the drawing itself.  Furthermore closer scrutiny of the hand-drawn 'W' shows that it could also be read as the number ten.  But this makes no sense since the rest are labelled alphabetically.

 

In confirmation of this see the example from the list below. The letter 's' then 't' is followed by the number '10'.

Bessler's frequent use of alpha-numerics demands that we check out the possible use of them in this illustration.  Clearly we are meant to convert all the letters to numbers. 

Adding up the subsequent numbers gives a total of 355, but this seems insignificant, until you realise that Bessler has again omitted one of the number 5s.  The number 5 identifies the rope in the right drawing but there is no such label attached to the rope in the left drawing.  From previous analyses we know that this is a typical Bessler method of encoding information within a drawing.  Adding the missing number 5 to the total brings it up to 360.

The total of numbers comes to 40 with the inclusion of the missing number 5 and as we have done before we divide 360 by 40 to give us 90.  A total of 90 again points to 18 times 5.  Once again we see the two main numbers associated with the pentagram.

As we saw in the previous drawing, the illustrations are in two halves.  Looking at the bottom of the right drawing there seem to be an unnecessary addition of extra letters, for instance there are two completely superfluous S’s and in fact the bottom of this right side drawing seems almost to have been added as an afterthought designed to boost the total to 360. See below.

Adding up the numbers in the right side drawing but excluding those extra ones underneath gives us 72, another key number in the pentagram.  The numbers in the left drawing total either 190 or 195 depending whether you include the missing number 5, but there are 18 numbers in total. The total number of letters used throughout is 20 if you count the 'W' as a letter and not a number.  360 divided by 20 equals 18. Bessler achived two things in this illustration, he demonstrated the presence of the number 72 again in the right side drawing excluding the numbers underneath - and he then obtained another meaningful number by adding both sides and including the extra numbers under the right side to get 360.  Of course 360 divided by 72 equals 5.

There are other clues buried in this illustration.  For instance in the picture below one can see two lines drawn in red, separated by a red vertical line forming angles of 72 degrees and the other, in blue, which is 54 degrees to the same vertical line, each seem to suggest another pentagram.

Back to the workshop for me now!

JC

More of Bessler's numbering clues in ‘Das Triumphans’.

After the two illustrations discussed in my previous post I have decided to offer my findings in another of the illustrations; this time the ‘Andere Figura’ and the ‘Secunda Figura in ‘Das Triumphans’.  Again I am discussing the numbering used in them.  I have placed a copy of the drawing below.  Again a single click on the picture will bring up an enlarged version so you can see the numbering more clearly.

The first thing to note in the pictures shown above, is that the right side of the left picture has been truncated slightly. In the book they are separated by a small gap filled with thin black and white lines, clearly designed to allow for the inner margins being partially enclosed by the book binding.  These lines allow you to bring the edges of the two illustrations close together as shown above.

In the drawing above you can see that the left circle can be completed and joins at the circumference of the right circle.  Notice that the circle I've drawn in, does not follow the original one as it leaves the left page.  This is due to the page being pulled inwards at the central binding which has slightly deformed the printed circle.  I always thought that the two pages were intended to be joined and I tested the theory with my original copy of  DT, by pressing the pages flat with a piece of glass and adjusting the right page until the thin black and white dividing lines were hidden.  It was then possible to draw in the complete circle to show that it did indeed abut the right circle.  As a check, note that the left half of my added circle aheres closely to the original one and that it only diverges as the bend in the paper aproaches the central crease.

In the above picture you can see yet aother pentagram inside the left picture. Notice how the extension of one of the chords of the pentagram runs through the middle of the right picture. This extension to the pentagon is governed by the close proximity of the two pictures so one must assume that the extension is intentional.  The main supporting pillar forms a perfect angle of 72 degrees with the extended chord, thus indicating the rotational angle of a second pentagon.  

I've included the additional pentagram in the above picture, which may seem more speculative and I must admite that although it looks possible, I have found it difficult to draw in a perfect pentagram so please add a pinch of salt to this particular suggestion.

In the right side picture above, the large triangular pendulum has some curious properties which seem to be additional clues.  They are 30 degrees for the bottom angle, and 78 and 72 degrees for the upper left and right angles respectively.  The 72 degree angle obviously fits in with the hidden pentagon, but is there an additional clue there?  Of course!

The second thing is that the right picture seems to have an excess of the number eight (four).  This over-labelling looks suspiciously like the same technique I have described for the two first wheel pictures.  Could this be another indication of a grand total being sought?  

Yes - 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.  But this does not seem to be a significant number, however Bessler’s favourite number 5, divides exactly 18 times into 90 – 5 and 18; the ubiquitous pentagonal numbers again.  Secondly the numbers used, 1 to 10, add up to a total of 55 – the other Bessler number. 

JC

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Some of Bessler's Wheel numbering clues described.

This is a brief account of the odd numbering used by Bessler in labeling his two wheels, the Weissenstein one from Grundlicher Bericht and the second one the Merseberg wheel from Das Triumphans. For simplicity I shall refer to them as the W wheel and the M wheel.

By the way, click once on either illustration to get a large version to see the numbering more easily.

It becomes quite clear that some of the items are ‘over-numbered’.  By that I mean that Bessler seems to have labelled the parts with a particular number more often than one might think was necessary. For example the main pillar supporting the wheel is numbered 4, four times.  The slimmer pillars are numbered 12, and two of them to the left are numbered twice each, yet 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, he 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 so he started at the lower end of the range and gradually added numbers until he had achieved his desired end.  Why he did this was unclear to me at the time.

In the W wheel there are two number 18’s yet one has been omitted in the M wheel – error or deliberate anomaly? In the W wheel the number 5 is barely visible in the box at the bottom of the sideways-on wheel, yet it has clearly been omitted in the M wheel.  In the W wheel some of the weights at the ends of the pendulums are numbered 11, there are eight of them, yet in the M wheel one of them has been omitted.  Finally in the W wheel there are two number 24’s attached to the padlocks, yet in the M wheel one of them has been reversed to become 42.  How can we explain all these anomalies?

The omission of 5 and 18 in the W wheel is explained by the fact that 5 is the most important number to Bessler because of its importance to the pentagram, and 18 degrees is the basic angle of the pentagram.  Changing the number 24 to 42 can be explained by the omission of 18, because 42 - 24 = 18.  Bessler ensured we got this information by altering the second drawing.  First he removed the 5 and an 11 (5 x 11=55).  Then he assumed that we would compare the two drawings and realize that the second one not only omitted these two numbers, but also when totalled the numbers add up to 633, whereas in the M wheel the total is 649.  But of course 633 from 649 equalled 16 (5 + 11).

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.  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!  The same applies to the second drawing but you have to add the extra eleven to make 660.

JC

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" Bessler's Wheel" or "The Wheel of Orffyreus".

I have replaced my usual blog with a brief account of the legend of Bessler's wheel.  I'm currently unable to maintain a daily/weekly blog due to commitments which are keeping me exceedingly busy/  Hopefully the situation will return to a more amenable status and I can return to sharing some of the many clues I have deciphered and applied to my continuing efforts to reconstruct Bessler's wheel

JC       15th October 2015

The legend of Bessler’s Wheel began on 6th June 1712, when Johann Bessler announced that he had invented a perpetual motion machine and he would be exhibiting it in the town square in Gera, Germany, on that day.  Everyone was free to come and see the machine running.  It took the form of a wheel mounted between two pillars and ran continuously until it was stopped or its parts wore out. The machine attracted huge crowds.  Although they were allowed to examine its external appearance thoroughly, they could not view the interior, because the inventor wished to sell the secret of its construction for the sum of 10,000 pounds – a sum equal to several millions today.

News of the invention reached the ears of high ranking men, scientists, politicians and members of the aristocracy.  They came and examined the machine, subjected it to numerous tests and concluded that it was genuine. Only one other man, Karl, the Landgrave of Hesse-Kassel, was allowed to view the interior and he testified that the machine was genuine. He is a man well-known in history as someone of the greatest integrity, and  the negotiations between Bessler and Karl took place against a background in which Karl acted as honest broker between the warring nations of Europe; a situation which required his absolute rectitude both in appearance and in action.

There were several attempts to buy the wheel, but negotiations always failed when they reached an impasse – the buyer wished to examine the interior before parting with the money, and the inventor fearing that once the secret was known the buyer would simply leave without paying and make his own perpetual motion machine, would not permit it.  Sadly, after some thirty years or more, the machine was lost to us when the inventor fell to his death during construction of another of his inventions, a vertical axle windmill.

However, the discovery of a series of encoded clues has led many to the opinion that the inventor left instructions for reconstructing his wheel, long after his death.  The clues were discovered during the process of investigating the official reports of the time which seemed to rule out any chance of fraud, hence the  interest in discovering the truth about the legend of Bessler’s wheel.

My own curiosity was sparked by the realisation that an earlier highly critical account by Bessler's maid-servant, which explained how the wheel was fraudulently driven, was so obviously flawed and a lie, that I was immediately attracted to do further research. In time I learned that there was no fraud involved, so the wheel was genuine and the claims of the inventor had to be taken seriously.

The tests which the wheel was subjected to involved lifting heavy weights from the castle yard to the roof, driving an Archimedes water pump and an endurance test lasting 56 days under lock and key and armed guard.  Bessler also organised demonstrations involving running the wheel on one set of bearings opened for inspection – and then transferring the device to a second set of open bearings, both sets having been examined to everyone’s satisfaction, both before, after and during the examination.

So the only problem is that modern science denies that Bessler's wheel was possible, but my own research has shown that this conclusion is wrong.  There is no need for a change in the laws of physics, as some  have suggested, we simply haven't covered every possible scenario in the evaluating the number of possible configurations.

I have produced copies of all Bessler's publications, with English translations.  They can be obtained by clicking on the appropriate links on the right.

JC

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Some of Johann Bessler's Clues shared and discussed.

I believe that I am running out of subjects to write about on this blog, so I have decided to bite the bullet and follow suggestions which might hopefully make this blog more interesting.  Obviously the whole reason for this blog was to write about Johann Bessler and his clues and the latter have been markedly absent, for which I apologise.  Blame the lack of discussion of clues on my paranoia! Afraid that I will accidentally give the game away and lose out to someone else?  Yes and yet what if I should die tomorrow?  All my work would become as nothing - which of course it might still do, but at least others will get a chance to decide for themselves whether I am completely nuts or perhaps I do have something to share.

All I ask is that I get credited with any of the ideas discussed here which it can be seen, clearly originated here.  I have a copyright notice at the bottom of this page but some people do not seem to recognise the requirements this places upon them.  Having said that, please feel free to discuss my ideas anywhere, just be fair and credit me as the author of them.

The first and most important clue for anyone who does not know is that the drawings in Das Triumphans, those done by Bessler, plus the one in Grundlicher Bericht and of course the Apologia Poetica wheel provide you with 90 percent of what you need to construct Bessler's wheel, BUT... each clue is skillfully camouflaged.

In addition the most vital piece of information without which your wheel will remain as stationary as mine has, is to be found in the text of Apologia Poetica, again cunningly disguised.  Despite my inclusion of a clue of a textual nature, most of those clues remain undeciphered despite identifying many, and obviously illustrations, no matter how cunningly contrived, hold the best hope of understanding what Bessler wanted us to see, and I shall include illustrations in future posts

Almost from the beginning of my first encounter with the legend of Bessler's wheel, I thought that the inclusion of the drawings in Das Triumphans, seemed strangely irrelevant and quickly came to the conclusion that they had another purpose, that they contained information about the mechanisms inside the wheel, but cleverly disguised - and so I began to compare them.  The number and succession of anomalies quickly grew and seemed disconnected, but then I realised that Bessler used multiple methods of disguise but by isolating them I eventually exposed two, different methods of concealment, which seemed to act in confirmation of each other.  Others followed in confirmation of this technique, but so slowly that it has taken me almost my whole life to get to grips finally with his system.

I have spent the least amount of time studying Maschinen Tractate simply because it was never published, although clearly it was intended for publication.   I have written about any findings I have made in Maschinen Tractate on my other websites, although the Toys page has given me some insights which I haven't shared to date but will do so soon.

Specific clues will follow but for those who have not visited them my web sites at http://www.theorffyreuscode.com/  and specifically the chapter 55 in Apologia Poetica  contain some of the clues I have identified and to which I have added my speculations

The clues discussed here in this blog will be only those I know are correctly identified and whose meaning has been clearly revealed.

JC

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© 2015  John Collins All Rights Reserved

Johann Bessler was Born 100 years Too Soon!

Johann Bessler promoted his wheel as a solution to flooding in mines and also for pumping water for use in 'Gentlemen's pleasure gardens' and other uses in various manufacturing processes.  It has been suggested that Karl might have been considering the wheel as a means of returning the water to the top of his famous water cascade. In fact it is extremely unlikely that he harboured such thoughts given his years overseeing the experiments of Denis Papin which concerned a number of steam-related inventions.  He was familiar with the shortcomings of such constructions and it is doubtful that he thought Bessler's wheel was capable of pumping anything without the aid of steam or some other unrelated discovery. The unpleasant truth is that Bessler's wheel would not have been capable of providing a solution to either the mining problem nor the cascade and would have been of limited use to the other suggestions.  At that time it would just have been a novelty.  Today we see potential in a number of areas, particularly in the generation of electricity, which opens up its potential to an enormous degree.

In spite of the above negative aspects there were plenty of rich princes who would have paid a lot of money to have the machine to display to their visitors.  Andreas Gartner's whole life involved designing and building intricate machines for the entertainment of his wealthy patrons, for which he was well-paid, so I think Bessler could have sold his machine if only he had found a way to negotiate a settlement .

By making it drive an archimedes screw Bessler hoped to demonstrate its potential as a pump, but in reality it isn't a pump so much as a water lifter, and a limited one at that.  They were used in Holland to assist in draining water from land and everywhere for irrigation, but they were man or animal-powered.  Nevertheless, I think he might have had a market there, where low lifts were needed.   

Karl's cascade measured  almost 600 feet in height and it needed about 92,000 gallons of water to flow from the Hercules monument at the top all the way down to the big lake by the castle, where a fountain pumped water over 160 feet into the air. This whole system relied on natural pressure from reservoirs at the top of the hill and underground pipes whose locks were opened manually.  Once the reservoirs were empty the cascade dried up, so could only be operated occasionally once they were refilled by rainfall.  One can see the potential benefit of finding a way to return the water to the top but I don't think even today there could be an easy or cheap solution, and certainly not with an archimedes screw!

Today during the summer, twice a week the cascade is allowed to run for a few minutes.  That is to conserve enough water for another display of the cascade,in case of drought, and the same applied in Karl's day.

The competitor for Bessler was Newcomen's beam engine which was first run about 1714.  This machine devoured coal ravenously and produced huge clouds of smoke but it did work and many mines installed them.  It drew 10 gallons of water per stroke and ran at approximately twelve strokes a minute, so pumped about 120 gallons a minute, good for draining mines but obviously still inadequate for Karl's cascade.  A rough calculation suggests it would take about 64 hours of continuous pumping to replenish 92000 gallons and that would only lift the water a quarter of the height needed.

Newcomen's engine could pull water up from a depth of about 140 feet,   Bessler's wheel attached to an archimedes screw was limited by the length of the screw, a few feet.

So Bessler's wheel could have been little more than a novelty at the time but not so today and were he here he could rightly ask for a trifling £100,000 and more for the secret and the machine.  He was born too soon, but what if he had sold the wheel?  For several years it would have remained a toy-thing of the rich, but eventually someone would have taken hold of his wheel and attached it to an electrical generator and history would have been made - perhaps Michael Faraday in 1821, would have recognised the potential in Bessler's wheel and made the connection.

JC

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Could Bessler's Wheel be made More Powerful than we Thought?

Here is a little hypothesis which might generate some discussion.  Many people are convinced that Bessler's wheel will never be more than toy; a novelty, with insufficient power to be of any practical use.  I disagree; I am convinced that a way will be found which makes Bessler's wheel a really valuable and practical alternative to the current methods of generating electricity.

Let us suppose that Bessler's wheel has been solved and we have the working model available for all to see, on the internet.

If the wheel is driven by weighted levers in a special configuration, any attempts to squeeze more power out if it will be limited by the confines of the wheel, and the mechanism.  Lengthening the levers to get more drop will only result in some additional height being required to raise them again - a no-win situation.  Increasing the size of the weights will also be self-defeating because they too will be harder to lift again. Depending on which configuration we use there may be other possible increases incorporated but still, they will have to be paid for in one way or other.  But perhaps there is  another way to increase the power output?

Suppose the output of the successful wheel is very small, as many have suggested both here and on the besslerwheel forum, how can we increase it? Assume that the wheel produces just enough energy to rotate itself continuously and lift a relatively light weight.  If we add another wheel to the same axle, we shall double the output, because the second wheel will simply add its energy to the first one which is already rotating the axle.  

Why not add ten wheels to the same axle, each wheel adding its own small energy to the total?  In other words mount ten wheels each containing five mechanism (or however many you believe were contained within the wheel) on to the axle to create up to ten times the original power output.

This, it seems to me could be a real method of increasing power. Bessler himself stated in his Apologia Poetica that "I can, in fact, make 2, or 3, or even more, wheels all revolving on the same axle", so I suggest that was in his mind when he wrote it.

No need to increase the number or size of the weights or the levers, just build several Bessler's wheels in series all on the same axle.

JC

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How did Bessler Build his Wheel?

As I have said before, I use a disc of wood to attach the various mechanisms and the whole is mounted on a slim axle, but this is not the answer that Bessler could have used.  My method results in a flimsy construction incapable of carrying out the tasks Bessler's did.  His method required the construction of a framework as depicted in my original biography about him., see below.

In my original sketch I included eight divisions but things have changed since then.  In the first place I envisaged, and still do, two separate wheels, one a mirror image of the other, designed to turn the Kassel wheel in either direction.  There might therefore have been a need for only four radial struts; one set for each direction that the wheel turned.  Subsequently I proved to my own satisfaction that there were in fact five mechanisms operating inside the wheel and therefore five radial struts required for each direction of the wheel.

The initial framework might have stopped at the half way point, as shown in the illustration above, allowing access easily to the areas close to the axle.  The rest could have been added later to complete the construction. I read somewhere, but I forget where that the thickness varied from 15 to 18 inches on the Kassel wheel and I have shown why this might have been necessary above right.

The axle makes an interesting study.  Six inches in diameter and six foot long; using a wood weight calculator I found the weight to be estimated at between 50 and 100 pounds dependant on whether it was pine or oak, and there are many other possibilities using other woods, but the weight is significant.  There must have been some kind of support for the axle before he even began, unless he used a vise to support it and hold it still.  A hundred pound axle would be a heavy object to manoeuvre around and I think it likely that he made a work-bench designed to hold it in position while he worked on it.  But the six foot radial arms would become a problem because it would need the support structure to hold the axle six feet above the ground, otherwise the ground would interfere, unless he then added to the final section of each radial arm at a later stage., so I lean towards the three foot segments as the way to begin work on it.

Another thing is the positioning of the three-quarter inch bearings.  Any one who has had a bike will be familiar with the way the wheel can become wobbly.  How Bessler managed to build his wheel without any reported wobble because the wheel was slightly out of true was an achievement in itself.

How were the radial struts attached to the axle? Perhaps he used dowels sunk into the axle and subsequently used them to provide an attachment.  Or maybe there is a clue in the two drawings below, taken from his "Das Triumphans.."

The square box-like structure lends itself as a means of attaching to an axle.

Just some thoughts about the problems he faced building such a large structure on his own.

JC

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Update on wheel, moving house, clues etc.

I really enjoyed the contributions to this blog and the previous posting, so feel free to continue on this one. 

It has been suggested that perhaps my wheel is already running and that I'm holding back the secret for some nefarious purpose, but the truth is so much more mundane. I recently put my house up for sale and as anyone who has done this knows, the place must be kept immaculate at all times for any potential purchasers to view it at its best.  Consequentially my workshop has been tidied and my wheel hidden - I don't want any snoopers to see what I've been working on!

After a week the house was sold and I assumed that after eight weeks or so we would move out - wrong, the buyer changed his mind and backed out!  I had just got the wheel back out, but now its back in hiding again and the house is back on the market and we await another series of house viewings.  Until it is sold we cannot move to Spain.

In addition my beloved mother-in-law is having to sell her little bungalow to fund her remaining days in a nursing home.  She's 93 and can't do it herself so guess who's getting her house ready for sale?  Yes it's me again, getting two houses ready for sale and  hoping to buy two more, one here and one in Spain!

So any revelations about my wheel actually working will be on hold until I can get to work on it again, but I am continuing to write up the details and will publish as soon as I have finally tested this wheel.

In the previous comment section it was suggested that we would not know if we had actually discovered the secret of Bessler's wheel rather than an alternative method of  achieving the same result as he did.  I have said this many times now but in response I will just say that my proof that I have discovered his secret relies totally on his clues, and they are not mere interpretations but a series of physical undeniable pieces of evidence.  The proof is not dissimilar to a series of logical argument put forward by a lawyer in a  court of law - or the chain of evidence published in support of a medical conclusion.  We will know if we have Bessler's secret.

Also my claims that the number 5 is an important part of the Bessler wheel is routinely dismissed but I can assure you that is it a vital ingredient.

Finally I fear that I sound just like Ken and Oystein, and yet I have little or no knowledge of their clues any more than they know of mine, can all three of us be right?  My feeling is that Oystein has genuine knowledge although whether it refers to the wheel's structure or relates to some other matter, I have no idea.  For me Ken's code is harder to see, impossible in fact, for me.  I placed what potential encoding I could find in the portraits on my website at http://www.theorffyreuscode.com/html/part_2_portrait.html and also at the other portrait link on the same web site, it was not helpful in my opinion, but we are each convinced of the efficacy of our own pet theories and maybe we will each turn out right, after a fashion.

JC

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