Category: Europe

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Archi Octagon

The architecture we see around us has lots of interesting mathematical features. Some are the basis for more complicated calculations. The octagon shape is not that common, but with some formulas the calculations become easier and construction in the real world is more feasible. Well worth to dig a bit deeper into this shape. The geometry of angles and circumference follows rules that have been laid out a long time ago. The webpages explaining this are manifold and it is a project of its own kind to compare them and recommend the best ones. My current favorite is: mathmonks. A reasonable choice is in most cases also wikipedia, the long running amazing knowledge project also for the octagon.

Image: Berlin Europa Center 2025.

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Archi Geometry

Architecture has an obvious and visible link with geometry. Clear lines, rectangular or triangular shapes have dominated for centuries since the Greek temples. Geometry was a discipline that has attracted many scholars and particularly architects. Nowadays the shapes are much more diversified and sometimes complex. The calculation of surfaces, curved lines and shapes have become an issue of more complicated mathematics. Volumes of irregular shapes are a challenge for most people to calculate and heating or cooling sich buildings adds considerable complexity. It is, however, rather relaxing and fascinating to look at the marvels of modern shapes in architecture. Technology and material science have allowed us spectacular progress and designs in recent years. Paris offers a splendid perspective on such developments. 

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Health Systems

Comparing health systems across the EU can be complex at times. However, there seems to be a consensus that the Irish health system is an oddity within the European health systems. On the one hand Ireland is a rather wealthy country in terms of GDP, but the primary care system excludes a high percentage of people from access to it. The scientific journal “The Lancet Regional Health” published a paper and comment on this rather unique exception to the rule to offer a universal health care system to its citizens. The controversy is about the coverage of costs of a visit to a general practitioner. More and probably earlier visits to a GP reduce the (over)burdening of
hospitals later during the life course. Prevention helps a great deal to lower overall costs of a health system.
The roots of the Irish health system have been built upon “subsidiarity”, which means that the public support system should only step in, if the individuals or families are unable to cover costs by themselves. Poor households had to apply for a card giving them access to medical care free of charge. Building hospitals was the next challenge and local communities managed to raise funds in support of such additional structures. In 2025 it can be very costly to enlarge the coverage to a universal access to primary care and the challenge to attract sufficient numbers of general practitioners is a very European one. In this respect Ireland is just like any other European country again.
The question of how to best achieve a universal health care system remains an important one. Apparently, you can be rather “health poor” in an otherwise “economically rich” country.

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Marx Home

The home of an influential philosopher, economist and political scientist is not easily presented like a home of a musician, a composer or an author. However, the home of Karl Marx in Trier on the Moselle river succeeds to present the biographical links of growing up in a historic city, the bourgeois upbringing of the young Marx and his formation as an independent and even revolutionary thinker of the economy and society. In 2025 the home is a museum supported by the Friedrich Ebert Foudation with a great online guide and access to additional scientific material. For authors like Karl Marx it is always of interest to follow not only the origin and evolution of the thought process, but also the shifts in the reception of his writings by subsequent generations. This part of the exhibition and an audio guide (downloadable as App).

In 2025 with an apparently ruthless capitalism at work in the biggest economy of the globe, the reminder that the economy is best to be understood as a political economy, which focuses on self-interest and profitable business deals, we find in Karl Marx still a worthwhile reminder of economic development even in the 21st century. The note-taking and studies in Exile in London are well documented in the tiny home and museum. Studying the misery of exploitation in supply chains and international commerce remains a topic of continuing interest as well. 

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Liszt home

In Budapest we can visit one of the longer living places of Franz Liszt or Ferenc Liszt as some Hungarians would insist to call him. The Beethoven trained Carl Czerny offered piano and music classes free of charge to the young Franz Liszt in Vienna at the age of 11. In the biography by Klára Hamburger she describes the Paris years of Liszt from 1823 until 1839 as the most important ones for the pianist and particularly for his later compositions. Born in Hungary, the son of 2 Austrian parents he was trained in Paris by amongst others the Czech professor of the Conservatoire de Paris Antonin Reicha just like Chopin, Flotow or Offenbach. Writing an opera was the “must do” for a composer who aimed for the highest possible career at the time. In a letter to George Sand, Liszt (published 1937) complained already about the social status of musicians in society as servants to the higher ranks of society. Similar to Ravel many years later Liszt was rejected as official scholar by the Conservatoire de Musique and his wish to marry a daughter of noble decent was rejected early in his career. Such experiences probably contributed to his leaning towards the romantic form of expressions in music during most of his compositions. Literature, paintings of the French romantic period and the traveling artist “voyages et pèlerinages” became influential in his creative process. The competition between composers must have been fierce at the time and despite ample opportunities to perform in public and private venues making a living from music wasn’t always easy at the beginning. More than 100 years after his death his compositions are still a challenge for all pianists and the Hungarian Rhapsodies probably his greatest homage to his early childhood.

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Tchaikovsky home

During the time before the “Zeitenwende” it was easy to visit the home of the composer Pyotr Ilyich Tchaikovsky in St. Petersburg. Therefore, we refer to our memory of the visit and the already 10 years ago restrained liking and appreciation of the Russian officials for the aristocratic composer, even accused to not be sufficiently Russian in his music compared other Russian composers. The composer had diverse love affairs, which were also not conform to official doctrines. The world wide success of his compositions, mostly known for his ballet music, remains popular in the 21st century. Similar to Beethoven, the biography by Malte Korff (Tschaikowsky, in German), highlights the final symphony as his masterpiece. The seems to be a reason to study “the last works” of composers specifically. The mature compositions appear to reflect on previous work and build or comment on previous work. The 6. symphony “Pathétique” was completed in his last year of his life, only at age 53. The final IV-th piece of it is entitled “Adagio lamentoso” and ends in very calm tempo and almost silence like a withering away heart beat. To my surprise I found a similarly very quiet ending in one of his early piano composition when he was only 28 years old “Romance Opus 5, Andante cantabile”. This early piece also ended “più lento” and from pp to ppp. (compare extract of image of notes below).

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Beethoven Home

The home of Beethoven in Bonn is nicely preserved and full of objects related to his life and his creative work. For the musician and composer musical instruments have accompanied him throughout his life. The visit of his home of birth offers a chance to dive into the extraordinary accomplishments of this great figure of the late 18th and early 19th century. His 9th symphony is strong as ever and the European anthem has just more than 200 years since the first performance now. The visit of the museum is still the highlight of Bonn and the App of the Beethoven House offers unique insights into and listening of his manifold compositions. Handwritten notes and a pocketbook of preparations for the symphony demonstrate the all encompassing nature of music for Beethoven. From romantic letters to the romantic music pieces, the museum has it all. Even it is a rather tiny house from the outside the inner life is as huge as it can be. It is advisable to take at least half a day for the visit much more than you would usually take for visit of a museum. The link between the biographical information and listening to linked musical pieces with a chronological context are a unique experience. This spurs the interest to listen or listen again to some of the romantic masterpieces. The App is great also to listen directly to some of the music.

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Sun power

Statistics of hours of sunshine in Germany and many European countries show an extraordinary amount of sunny days in March 2025 compared to previous years. This opens up a window of opportunity to produce electricity already in a month previously less likely to yield a lot of energy. With more likely 8 months of decent electricity production the efficiency of investments in solar energy reach break even points earlier. Time to think of expanding the share of renewable energy even further. The cost effectiveness is improving in rather unpredictable ways. Economists, of course, consider opportunity costs in this case the alternative to use oil or gas despite the higher levels of CO2 emissions. As the prices are currently lower as well, without an easily predictable trend, solar alternatives are a valid option.

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Retirement Plans

There are debates about the best organization of retirement. The major fault lines lie between public pension systems and systems that are built based on mainly private provision. Retirement plans in either system are subject to constraints. The recent stock market turbulence has increased the amount of uncertainty people face who invested in 401K plans in the US. Some had to take an unannounced hit to their retirement savings due to the loss after Trump’s back and forth policies on tariffs (OECD Pension Outlook). High volatility of stock market prices creates an additional constraint that you are less inclined to retire when your retirement investments have overall a reduced value. You are a bit at the mercy of capital markets even in your retirement decision, irrespective of the difficulty to predict what your retirement funds will yield as returns. Quite an important lesson to keep in mind when comparing retirement systems in OECD countries. It has been all too easy to blame public pension systems for maybe lower short term interests on pension savings. Being subject to an American president concerning your retirement plans is probably not what many countries would like to have. Trump’s choices on tariffs may have consequences we did not expect to affect us so directly.

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Tariffs Trade Deficits

US Tariffs target the US trade deficits across the globe. For a start on the topic it is helpful to take a look at the data. The US bureau of census publishes this time series regularly. Currently, you can compare monthly or annual data across countries from 1985 to 2025. The worsening of the trade balance is obvious just looking into some examples like trade with the EU, China, Japan, South Korea or Switzerland. we might calculate some rough indicators of trade deficits of the US with countries by the size of the country, which would make Switzerland look really bad relative to many much more populous countries. This probably explains why Switzerland is threatened by higher tariffs than the EU. However, this hints towards the “hidden” agenda of tariffs on countries. The major targets are multinational companies that produce in countries outside the US and particularly in those with low corporate taxes, like Ireland and Switzerland. Importing products from such countries worsened the US trade balance over decades.

Another factor to study more precisely is the sectoral pattern driving the trade deficits with countries. Exports in for example health-related products have soared due to Covid-19 pandemic starting in 2019. Where did the US buy face masks, ventilators, medicines and pharmaceuticals?  These countries will now also be penalized by higher tariffs. The tariffs topic is a complex interconnected business issue, which is not solved by blunt measures. The real danger is that with each month trust in US will erode further. For decades this has been an underestimated currency of international business. Eroding trust is likely to be the major fallout of the tariff and trade deficit nexus. It takes decades to build, but can be destroyed within a few days or weeks. (Image: Mont des arts Brussels February 2024, celebration of surrealism).