Sedimentary acrobatics

It was an interesting article: Thousands of dinosaur footprints found on Italian mountain with a good come-on line, but it was not so much that as attracted Coco, as the evidence that the find provides.

Now Coco is not a geologist, but thinks he can tell the difference between a sandy beach and a hardened sedimentary rock face. He would ask geologically minded readers, please, to come to his assistance and correct, or provide better, or even good, explanations of the data. He would also ask such readers to forgive his ignorance to use the proper geologic terminology, or jargon, for what he wishes to describe, just as Carney may be forgiven for using the correct forms of English.

Elio Della Ferrera, Arch. PaleoStelvio © 2025 BBC
The tracks may be seen here clearly on the rock face which appears to be made up of sedimentary rocks. Now one would expect sedimentary rocks to be laid down in horizontal, parallel layers as may be seen for example in the walls of the Grand Canyon.

Soft material is laid down by water and over the years it hardens, and further layers are deposited on top, which themselves then harden. Coco understands that the traditional explanation for sedimentary layers that are not found in horizontal layers is that the rock layers have been folded by some later folding event, perhaps the movement together of tectonic plates, or an uplifting event such as gave rise to the great mountain ranges and in particular to the Alps in which these footprints have been found, followed by abrasion.

The prevalence of cracking in the sediments may give an indication of the plasticity or otherwise of the rocks at the time of the folding event. Cracks are visible in the photograph. Are these cracks subsequent to the folding, and due to more recent weathering, or are they original?

We should consider what happened to the sediments that would have been attached to the sediments that we can now see in the mountains. Where are they? Before the folding event they would have been at one. It is said that they may have been scoured away by other events occurring after the folding, as poorly illustrated in the diagramme.

Is that what we see here? An event has occurred which lifted the sediments; a subsequent event took away part of the rock and left the edges of sedimentary layers exposed; some time later the prosauropods came skipping along to left their footprints in the now exposed layers of sedimentary rock. Does that sound a possibility, or is it another just-so story so beloved by the old agers?

We must consider that when the tracks were left, this exposed surface, however it came to be exposed, must have been soft, at least plastic, in order that footfall would leave footprints. If the sediments had been laid down over long ages, then would they have been even remotely in a condition which we could call plastic when our dear sauropods visited it? Perhaps the absence or otherwise of cracking would provide us with a clue.

What however is fairly clear is that these are not footprints left in a sandy beach (or even a muddy on, as shown in the video, of “Footage supplied by the team of scientists [to] show the scale of the footprints and a recreation of how they were formed”. Sandy beaches, as we observe, lose their evidence of the crossing of large mammals and reptiles at almost every tide. Perhaps on a windy sandy beach they may even be lost to sight before the tide arrives. And yes, Coco is aware that sauropods may have been reptiles not mammals, but as a living one has not been able to be examined in the modern era the hypotheses that they were reptiles is perhaps no better than the hypothesis that they were mammals, unless you believe the just-so stories about footprints on a sandy beach being fossilised.

Illustrazione di Fabio Manucci, Arch. PaleoStelvio © 2025 BBC
Artist’s rendition of a herd of prosauropods walking across a muddy plain during low tide. Smaller footprints suggest the herd also included young specimens

All of that said, and whilst he does not believe the story provided, Coco still cannot tell you how the footprints actually came to be embedded in the rocks now exposed in the Alps. As Holmes was supposed to have said: Once you have eliminated the possible, the only explanation left is the impossible. There was a flood. The sediments were laid down, folded and abraded quickly, and were still soft when our sauropod pod arrived.

Sennheiser PCX550

Well the battery died quite some time ago, but well out of warranty, and it was left to find a moment when a repair process could be enacted, a replacement battery be found and a resurrection be performed. Today was such a day.

The repair process

A search found that Maurice Brg, among others, had not so long ago performed such an operation. The difference between him and others is that he prepared a report on the matter:
https://mauricebrg.com/2024/05/sennheiser-pxc-550-battery-replacement.html
A very thoughtful man who recognises that if you have a question others will have the same question but do not dare to ask it. So he did, and he provided the answer as well.

Coco could not describe it better. Not only did his repair succeed, he knows what technical terms like spudger mean, not that you need to know the technical terms because his description is in plain easy to read English.

If your PCX550 requires some TLC in the form of a new battery, you could not visit a more helpful place that Borgmeier’s Blog.

Footnote: Coco has only completed the first part of the operation. There was no point, he thought, to acquire a battery if he could not open the baffle.

Circles

How often have you gone round in circles?

Resisting the temptation to look at the comments where there may be an answer to the puzzle which at first you thought was proving difficult only because you had not spotted the correct approach to the solution, you slowly begin to discern that in order to solve it it may be that you need one more piece of information. What do you do? Like every good student sitting an examination or test, you read the whole question again, carefully this time, looking for that one additional piece of information that will cause the solution to appear, rather like those pieces of art which you must examine with cross-eyes to see what is really there, out of the mass (mess?) of mathematical nonsense that already litters the page, but it is not there. You have found all of the information that is to be had.

You try again this time to establish what the missing piece might be which would allow a solution to be found. You discover that if you knew any one of three things there would be a solution. You look for all three things in the information provided, only to discover that it is still not there. At that point you open up the comments on the question to find several answers, but they are all different. How could that be? There is only one correct answer, but the respondents are quite sure about their own answers. You also see that there are others who have understood correctly that insufficient information has been given: some even point out that the assumptions made by those who have found an answer are both extraneous to the question, and unjustifiable on the information given.

In the light of this discovery it behoves those who are tempted to solve questions posted in this forum to ask whether there is sufficient information to find the answer before attempting to solve the riddle.

With that in mind, I thought I would pose one myself, not in its most generalised form, but then neither in the most simplified. We have three spheres in three dimensional space, whose sizes and locations we know. A fourth sphere lies between them and touches the surface of each of the other three. We want to know the size and location of the fourth sphere.

Without any more information we must be content to describe the locus and radii of all spheres that satisfy the touching condition.

The additional piece of information you need is that the centre of the fourth sphere lies on the same plane as the centres of the other three spheres.

Aside you will find a diagram, in which the z-axis has been rotated so that it is vertical to the plane that all four spheres hold in common.

E&OE If you do think you need more information, please raise your hand.

Ans. There are two solutions, one for an inner circle as above, the other for an outer circle. If the solution is progressed correctly both solutions should also fall out:
(2.593190781, 0.467232119, 2.480014276(=(-97465+3*4*√5*√19*√37*√47*√893)/19471)) ) (3.33644816961878, 2.48464503182240, 12.49131313089260(=(-97465-3*4*√5*√19*√37*√47*√893)/19471)))

Lymphoedema Awareness Day 2025

In 2025 many people are suffering with lymphoedema and face many challenges in daily life and lack of hope. This short video highlights some of the global challenges that are delaying the development of effective lymphoedema care worldwide. Lymphoedema affects the poorest populations and even many high income countries do not have a centre of excellence available to them. The International Lymphoedema Framework is a registered charity working with its national partners to improve care as well as joining with other international societies that have a similar aim.

Lymphoedema Awareness Day 2025. © ILF 2025

Lipedema – the debate

There is a debate in the world of Lipedema which Coco now spells not as Lipoedema in order to avoid the suggestion that oedema (water based fluid) is present in the dsytrophy which is called lipedema1. Coco has referenced the debate in other articles – here and here. The video referenced below produced by Colin Mockery (is that a pen name like Coco?) is quite long but an excellent literature review for anyone who has either the smallest interest in lipedema or who is looking for an example of how to review literature and present the results of such a review. The reader must understand that in saying this Coco is not condoning the conclusions of this particular review. Coco is merely saying it is a good example of a review. For an assessment of the conclusions of the review the reader must look elsewhere, in particular any reply that may have been prepared by any of those who were subjects of the review.

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Lipedema

Sometimes it is hard to obtain a list of the things that can go wrong after or during surgery, though best practice dictates that patients should be provided with full information in order that they may give informed consent to the intervention – it occurs to Coco that perhaps the insurance standard of the utmost good faith should be applied to the contract – but at the ITALF 2024 conference held in the auditorium at the Atheneum Pontificium Regina Apostolorum in Rome we were presented with such a list,

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Luther’s wisdom

It was an interesting discussion about the place of Luther in European and in particular German history, and his continuing influence that prompted me to write, for whilst the conversation was informative, offering perhaps a different perspective than you would be given by an O-level syllabus, there appeared to be a contradiction in it. You may want to listen, or watch for yourself, to judge the matter more carefully

Martin Luther: The Man Who Changed The World from The Rest is History where Tom and Dominic (who?) talk about the man whom we cannot forget.

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