Summer Highlight Reel: Oberkirch

We've seen these trains before, quite recently in fact, but they're back, on a much brighter day to really make their colours pop, and in a different border station between France and Germany.

This is Lauterbourg, the easternmost town in France, in the North-East corner of Alsace, and it shows the contrast between the line on the left-hand side of the Rhine, and the one on the right-hand side. The line from Strasbourg to Wörth am Rhein is not electrified to this day, and only sees local regional traffic. Nonetheless, Lauterbourg appeared to have a massive yard back in the day, now just a flat expanse of disused rails.

At the North end of Lauterbourg station, we find some old German mechanical signals, still in use!

Finally, like in the previous post on these trains, I have an amusing place name to share. It's more funny to pronounce with an English accent than anything else, but it also looks like a game of Countdown gone horribly wrong!

Sangaku Saturday #1

In this series, I'll try to put something up every Saturday or Sunday (depending on my plans and/or your time zone), either with a puzzle, a solution or some historical info on sangaku. If people find this interesting (and editing maths on this probably will be), we can work step by step to solving full sangaku problems.

Let's start with a puzzle, one of the most basic tools of the genre. Two circles, with radii r1 and r2, are tangent to each other and tangent to a same line.

This means that the distance between C1 and C2 is equal to r1+r2, the distance between C1 and A is r1, and the distance between C2 and B is r2. Moreover, the lines (AC1) and (AB) are perpendicular, and the lines (BC2) and (AB) are perpendicular.

Can you prove that the distance between A and B is equal to

???

Hints below the cut, questions possible in the reply section.

Take your time, I intend to show the solution next weekend.

Hints. Place the point H on the line between A and C1 so that the distance between A and H is equal to r2. Then the triangle HC1C2 is a right triangle with two sides of known length. A famous theorem gets the third length, which is equal to AB.

The things people write on clocks...

Craignez la dernière - Eglise Notre-Dame de Croaz-Batz, Roscoff

Literally, this means "fear the last". OK, but the last what? Well, you're looking at the sundial for the time, which here, in French, would be "12 heures", so the full saying is inferred to be "craignez la dernière heure" - "fear thy final hour". Reminding people of their own mortality was an important part of medieval-Renaissance Christian discourse, as we saw with the ages of Man passing before Death among the automatons on the Astronomical Clock in Strasbourg Cathedral, built around the same time as this church in Roscoff.

Die Zeit eilt, Die Zeit heilt - Rathaus St. Johann, Saarbrücken

I've only got a close-up of one, but the tower of the historic town hall in Saarbrücken has at least two clocks, each with a message. The meaning of "die Zeit eilt" is similar to "time flies", and could be linked to what we saw above: be aware of what time you may have left. The second clock cleverly adds one letter to that to make "die Zeit heilt": "time heals".

"How to use this sundial" - Piazza della Borsa, Trieste

In the ground in front of the Chamber of Commerce in Trieste is a sundial, but conspicuously, the hand is missing. That is because you are the hand! Taking astronomy into account, one should stand in a slightly different place depending on the season, and apply corrections to the minutes to get official time. It was cloudy when I saw this, so I'm afraid I don't have a nice picture of the sundial in action. The instructions are in Italian on the left side of the base.

Ryôgoku Kokugikan

It's sumo season in Tokyo! Though, to be fair, it's sumo season three months per year, as this arena, the Kokugikan in Ryôgoku, on the East bank of the Sumida-gawa two stops from Akihabara on the Chûô-Sôbu line, hosts half of the year's six major tournaments.

It wasn't open when I visited Tokyo, so I didn't see inside, but even then, there are apparently, and unsurprisingly, a lot of sumo-related places to visit in Ryôgoku, like Ekô-in temple... and I missed them all! Well, apart from the odd statue.

I went to Ryôgoku area without a real plan, I wandered around and found some interesting places I'll get to another time, but one thing I think I planned was to try the "lunch of champions", the classic stew for sumo wrestlers: chankonabe, or chanko for short. It was rich and copious, as you'd expect, and, as I remember, I didn't quite finish it.

Summer highlight reel: Île de la Table Ronde

To the South of Lyon, the "Island of the Round Table" in the middle of the Rhône offers a fantastic escape from the city. While the East side is exposed to a lot of noise from motorway traffic, the inside and West shore are gorgeous, and the southernmost end is a nature preserve.

The river flows by at a steady pace, making it a good spot for a reaction ferry similar to the ones in Basel. Fair play to the locals, they thought that too!

Bridges now do the job - though the suspension bridge from Vernaison isn't doing too well. Built in 1959, it needs replacing and until then, traffic is limited on it so as not to overload it. This hasn't been helped by the North side of the island being an industrial estate.

In the centre of the island, one finds a ruined farm, the Ferme aux Loups. One thing @teamroquette likes to do is geocaching, and so we looked for some, but the most elusive geocache of all was the namesake of the island. There are pictures of a round table associated with the island on Google Maps, but we missed it. That said, one Google review also mentions that they couldn't find it, so who knows.

We did find these interesting and somewhat imposing water level meters though. Lay on them to measure yourself... and get the wrong answer!

Japan Weekend coming up!

This weekend, in fact! Every April, Strasbourg hosts some ekiden running races, and a festival of Japanese culture on the side. Taiko drums, shamisen, martial art demos including kyûdô and aikidô, Japan-inspired artists, food... and games like shôgi and mah-jong, the latter of which I will be partaking in as a member of the Strasbourg club. So if perchance you are in Strasbourg this weekend, pop by!

The destination on that sweltering day I saw the Jetfoil was Jizôzaki and Mihonoseki lighthouse. It's just a 2 km walk from the village, but gosh it was difficult that day! Still, the views of the coastline were, as always, well worth the effort.

The lighthouse itself is a nice little building, built at the end of the 19th century, and nicely kept (if you can spot the ladies raking in front of the entrance in the picture). It's circled by a short walking trail.

The tower doesn't need to be too high as it stands on a cliff, while the former residence now houses a shop and a tea room with a view out to sea.

Like Shionomisaki I covered some time ago, Mihonoseki lighthouse has a "Guardian of Light" character designed for it! This one looks somewhat more confident than the pensive guardian of the South!

Approaching 100 posts - yes I know, this one's adding to it, but with asks and reblogs possible on Tumblr, I consider the companion Instagram to be a more reliable publication counter, not to mention I have plans for content that will only be on Tumblr (sangaku solving). I also need to clean up some tags before the task gets too daunting, with the aim to get some major themes rolling and provide direct links to them in the menu bar.

Thanks for likes left so far, I hope you'll enjoy what's next!

Towers and trains at Oberwesel

Downstream from Bacharach and Kaub seen in the most recent posts, Oberwesel is a gorgeous town on the left-hand side of the Rhine, with many of its medieval walls and towers still standing. The railway was built alongside these walls near the river, and even goes between two towers, the Katzenturm (left) and Ochsenturm (right). Add the hills in the background, and it is certainly a spectacular train spot.

Here is another tower, the Haagsturm, in a view from the station platforms. (I just got off that train and failed to position myself in time to get the sign out of the way bottom left.) The two trains shown were the only types visible that day, as the intercity traffic was diverted to the other side of the river via Wiesbaden.

Further from the river, another section of town walls and towers runs through the hills. In the centre of the picture above, taken from the short but steep Elfenlay trail, is the Kuhhirtenturm (with raised drawbridge), with St Martin's Church rising behind it.

Oh alright, have a wider view from the Elfenlay.

July 1830: the Revolution I forgot

This is Bastille square in Paris. As anyone who's had history classes in France will know, this is Bastille as in Bastille day, 14 July 1789, when Parisians raided the Bastille prison to get weapons for their revolt against the king - the flashpoint of the French Revolution.

It's also rather well known in France that the Bastille prison was demolished shortly after, as Paris rid itself of symbols of the Old Regime. So it would make sense that this monument commemorates that, right? It's super famous, after all.

Wrong. This column commemorates the events of July 1830, some forty years later, the significance of which, I'll admit, I had forgotten.

So here's how it goes. Since 1789, France had oscillated between fragile compromises of constitutional monarchy, revolutionary fanaticism and the iron fist of Napoleon. Following the defeat of 1815, Paris entered a period of calm acceptance under King Louis XVIII, but his successor, Charles X, wanted to go back to the old ways.

So, in July 1830, Paris revolted again. Disposing of the king was a surprisingly quick affair, as in just three days, Charles X was gone. He was replaced by his cousin, Louis Philippe, who seemed more willing to placate the bourgeoisie. A new constitution was drawn up, known as the Monarchie de Juillet, or July Monarchy.

In this context, a monument to the victory of 1830 was commissioned, and this is it: the Colonne de Juillet (July Column), a 47 metre-tall column adorned with the names of the fallen revolutionaries, a mausoleum at the base and the Spirit of Freedom on the top - and is that camera surveilling the street below?

Louis Philippe had ascended to the throne after a revolution, but he would also descend from the throne after the next. In February 1848, Paris revolted for a third time, swiftly ending the July Monarchy and establishing the Second Republic... which, within just 4 years, would become the second Bonaparte dictatorship.