Mathematicians have been trying to solve the mystery of Da Vinci’s ‘vitruvio’. The answer was in sight

The history of art is full of universal icons, but few, very few, reach the popularity level of the ‘Vitruvio man’ drawn around 1490 by Leonardo da Vinci. And it is logical. Artistic and scientific issues apart, the work has become a reference Pop. The original is preserved in the Accademia di Belle Arti Venice, but the same face, the same body, has stamped over the last decades in books, t -shirts, sweatshirts, backpacks and posters. That without counting every time we have seen it reproduced on the big screen. The most curious thing is that despite that exhibition, the ‘man of vitruvio’ is still surrounded by mysteries. Or so it was until now, at least. A London dentist believes having solved the complex mathematical puzzle that Leonardo hidden in the work. A name: Marcus Vitruvius. Leonardo da Vinci’s is (by far) the most famous, but the Tuscan genius was not the only one in representing the man of vitruvio. We keep more or less similar samples from other artists, such as Francesco Di Giorgio Martini either Giacomo Andrea de Ferrara. And it’s normal. After all, these are exercises based on the canon of the human body of Marcus Vitruvius (Exactly, hence his name), a Roman architect and engineer. It was he who many centuries before Leonardo theorized about human physiognomy in Of archiecture. “In the body, the central point is the navel. If a man placed himself on his back, with extended hands and feet and a compass focused on the nave The architect theorized Roman in the first century before our era, convinced that a man’s proportions can adjust to a square. But … how to do it? That is the theory. Different thing is practice. Throughout the different artists have launched themselves to represent human physiognomy partially inspired by the canon of proportions proposed by vitrubio. Not everyone with equal fortune. By 1490 Leonardo Da Vinci, who then was around 40, got down to work in one of his notebooks and prepared a drawing that during the last five centuries has fascinated scholars and profane. The work shows a man in several overlapping positions, standing, with extended legs and more or less open arms. All perfectly registered in a square and in a circle in an exercise that would probably have fascinated the Roman architect. We have recorded the result in memory and a quick search arrives on Google to find good quality reproductions, but there is a pending mystery: how the hell did Leonardo did? The great ask unknown. Yes, the result is obvious. And yes, the drawing is there for those who want to copy it in detail. But … what recipe Did Vinci continue to plan and execute it? What calculations did you use? Was it based on any pattern? And if so, what system did you employ? “The search for the Da Vinci geometric method has generated numerous theories, each of which tries to explain the measured relationship between the circle and the square in the original drawing,” Explain Rory Mac Sweeney, the British dentist who believes he has found the key. “For more than 500 years, the Da Vinci geometric system for the precise relationship between the circle and the square in his drawing of the ‘Vitruvio man’ has remained in the mystery,” Mac Sweeney abounds, which has just published An article reviewed by parts in Journal of Maythematics and Arts. What if the key is the golden proportion? His theory is just that, a theory, but it is interesting because it offers an alternative to the most popular explanation, which argues that to draw his drawing Da Vinci was inspired by the Aurea proportionan idea that reinforces the collaboration of the Tuscan with his compatriot Luca Paciolithe author of Of divine proportion. The problem, Remember Mac Sweeneyis that this explanation has not just been perfect. “It produces a significant error, which seems unlikely given Leonardo’s geometric precision.” Good riddle, bad explanation. Other authors have provided alternative explanations to the mystery of Vitruvio, such as Leonardo was based on octagons or a heptagon, but Mac Sweeney believes all these theories present “a fundamental problem”: they approach more or less the measures used by the artist in his diagram, but in the opinion of the British researcher it is difficult to connect them with the themes that really obsessed Da Vinci. “They are still purely abstract mathematical exercises, without connection with Leonardo da Vinci’s documented interest in human anatomy, natural functional and main relationships. As geometric riddles, they work. As explanations of Leonardo’s methodology and intentions, they do not offer a convincing justification of their specific decisions,” Reflect. Hidden “with the naked eye”. The most curious thing is that Mac Sweeney believes that the solution “has been hidden with the naked eye” in the handwritten annotations left by Leonardo himself next to the drawing. Specifically, it refers to a comment in which the artist points out that, with the body in a certain posture, the space between the legs forms an equilateral triangle. For a long time it was believed that this phrase was a simple poetic ornament, pure rhetoric or a practical guide for composition, but the British expert believes that it is the key to mystery. And what is special? That the triangle adjusts to a natural pattern, one that Mac Sweeney knows well for his dentist profession: Bonwill’s trianglean imaginary equilateral triangle of the human anatomy that marks the fundamental geometric relationship for the proper functioning of the jaw. “Connects the mandibular condyles with the midpoint of the lower central incisors and corresponds precisely to Leonardo’s explicit reference to an ‘equilateral triangle’ in its construction of the ‘vitruvio man’”, Clarify. “The construction of Leonardo demonstrates the same tetrahedral principles present in craniofacial architecture,” insists The British dentist before citing studies and calculations that reinforce its hypothesis. “The equilateral triangle, which Leonardo made explicit reference between the legs of the figure, when replicating six times around the navel, creates the … Read more

Without MOVES in sight, the electric car threatens to disappoint in Spain

The electric car needs important financial aid to take off. Perhaps not in the future but if something has taught us the short trajectory of technology is that where it has triumphed it has done so with a sustained plan of purchase aids. In China, government subsidies They have accumulated one after another. First because popularize technology It has allowed them to create an industry that threatens to win a relevant role in the automotive, a market where they had gone unnoticed. And secondly, because Chinese economy itself needs to be dynamic And vehicle sales is a good tool for this, especially now that they need to place what threatens to be an overproduction. Norway, where the electric car represents almost 100% of saleshas also reached this situation with A sustained aid plan. Constant and also pointing to a tax reduction, the customer has ended up embraceing technology. Germany (even China) is a good example of what happens when You eliminate aid: Sales stop. It happened to the German country last year. In its first full year since the government was forced to withdraw aids to purchase, Electric sales collapsed 27.4%. Although there are still no concrete data, the perception is that Spain walks along the same path. Essential aid In the middle of last January, the refusal to approve the already famous Government’s Bus Decree made the Transport aids, To pensions And, among other things, The Moves III Plan. With a huge delay when delivering aid to purchase (so much that some brands advanced the amount delivered by the Government), the MOVES III PLAN It was still a value when placing an electric car compared to other technologies. With him, the buyer could be discounted up to 7,000 euros of the purchase, 70% of the charger installation In the house and up to 3,000 euros in the income statement. We talk about aid that could therefore overcome the 10,000 euros For those who, yes, It was mandatory to arm himself with patience. The latter led the government itself to promise that it would reform the Moves III Plan with the aim of expediting all the processes and came to slide that the aid would be delivered at the time of purchase. However, none of this ended up getting ahead. In fact, Two weeks before finishing 2024 And, with him, the Moves III Plan falls, nothing was known about the future of aid. In those last days ended up an extension which was active until the middle of January. Since then, the interest in getting an electric car has stopped, according to manufacturers. Paco Pérez Botello, president of Volkswagen Group Spain Distribution, says that “orders have stopped dry” since the Moves III Plan ends. “We will begin to notice it in March enrollments if there are no aid again,” he clarified in words collected by Five days. The atmosphere among the Germans is the same as reigns in other brands. During the presentation of Hyundai insertresponsible for the company confirmed that the visits to their dealers to be interested in the model had shot themselves as a result of starting the television ads campaign but that, just a few days later, It had collapsed When the aid had been removed. Although it has been slid that the aid will reach those who had requested the electric car In the first days of January And that the new aid program will also contemplate the sales of February, it has logic that the customer delay their purchase due to the lack of guarantees. Reactivate aid can be essential for the performance in Spain of the aforementioned companies that have recently put the insert and the Skoda Elorq But also for him Ford Capri or the Renault 5cars that also just land in the market. “We can reach a 10% electric market share in 2025, but it will depend on the incentives that there are,” said Pérez Botello. The perverse part of aid is the same as that of a Price war between companies. The client, aware that the aid can be approved before or after, delays the purchase waiting for a better price that, in this case, does not seem to finish arriving. In any case, we will see to what extent the rope is tense and when we will see a new program of aid that clients and manufacturers wait with open arms. Photo | Xataka In Xataka | Catalonia is determined to lead the conversion and sale of the electric car. His great objective is called Madrid

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