Update: Moulin Rouge Has Got New Sails, And Celebrated With Some French Cancan In The Street.

On the JR Nara line

Uji city and the the building on the 10-yen coin can be accessed by train from Kyôto by going roughly a third of the way to Nara. Other famous sites near the line are Fushimi Inari Taisha (Inari stop), and the studios of Kyoto Animation, famous for the music and sports anime K-On and Free! (Kohata stop).

The most recent type on the route is the 221 Series, and it's already getting on a bit, introduced in 1989. It won one of the Japan Railfan Club's two main new train design awards, the Laurel Prize, the following year. The 221 is used on the fastest Miyakokji Rapid services, which do the Kyôto to Nara run in under 45 minutes.

Green 103 Series sets can also be seen. This is the oldest type still in active JR service (if not, it's close), as it was introduced in 1963. In 2016, when I first visited Japan, I was living near Paris, and some Métro and suburban lines were running trains of a similar age, if not older, and these were atrocious in hot weather - no air conditioning, and ventilation only provided by opening windows! The RATP MP 59 used on Métro line 11 was stinky to boot; it was withdrawn just before the Games, no wonder! Point is, the 103 doesn't have air con either, but is at least trying...

Strasbourg's Christkindelsmärik

One of Europe's oldest Christmas market, and likely the most famous in France, is Strasbourg's. Its existence is attested as far back as 1570, appearing in the years following Protestant Reformation. Today it is a sprawling event, covering all the main squares of the central island of Strasbourg, and it's very busy, especially in the evenings and on weekends.

The traditional Alsatian name of the market is Christkindelsmärik, "the market of baby Jesus", while the city's more recent branding (since the 1990s) proclaims the town as "Capital of Christmas".

Pictures from 2018 - I haven't been to this year's market yet, but I plan to once my workload deflates - I get my annual stock of jams from the local producer's market!

Space Port Kii (from a distance)

Japanese company Space One has been in the news recently for their second attempt at launching their rocket, Kairos - for Kii-based Advanced & Instant ROcket System; as far as acronyms go, I'd give it a 5/10, it's rather long-winded but has some good ideas at the right moments. The rocket, designed to be a cheaper option for lighter satellites, unfortunately didn't make it into orbit, losing control after 95 seconds.

The launch site is located on the North-East edge of Kushimoto, Honshû's southernmost city, its entrance building visible from the railway line. The action area is further into the woods, by the coast. I didn't visit the site obviously, but the entrance and some support posters in Kushimoto town were hints of the project's presence. They have a neat little mascot too, a space puppy!

Sangaku Saturday #13

Last week, we uncovered this configuration which is also a solution to our "three circles in a triangle" problem, just not the one we were hoping for.

This is something that happens in all isosceles triangles. Draw the inscribed circle, with centre B, and the circle with centre C, tangent to the extended base (ON) and the side [SN] at the same point as the first circle is. Then it can be proved that the circle with centre A, whose diameter completes the height [SO] as our problem demands, is tangent to the circle with centre C.

But that's not what I'm going to concentrate on. Despite this plot twist, we are actually very close to getting what we want. What the above configuration means is that, returning to the initial scaled situation with SO = h = 1 and ON = b, we get

Knowing a solution to a degree 3 equation is extremely powerful, as we can factor the polynomial and leave a degree 2 equation, which has simple formulas for solutions. So, to finish off, can you:

1: prove that

2: solve the equation 2x²-(s-b)x-1 = 0, and deduce the general formulas for p, q and r that fit the configuration we are aiming for;

3: test the formulas for an equilateral triangle, in which s = 2b.

This last question is the one the sangaku tablet claims to solve.

Can't read my, can't read my, No you can't read my 岡 face!

The best timepiece in the world (IMO): Strasbourg Cathedral's Astronomical Clock

I could go on about this thing for ages. There's so much history, so many symbols to spot, and so much information on display... This is going to be a long one.

I guess I'll start with the artistic aspect on which I have the least to say because it's the least up my alley. There's loads of mythology and Christian symbolism going on on this 18-metre tall monument, and these are the main draw for the general public, because they move around.

Like cuckoo clocks in neighbouring Schwarzwald, this astronomical clock has automatons. Every quarter hour, the lower level of the photo above sees a change of "age": a child, a young man, an adult and an old man take turns to be in the presence of Death, whose bells toll on the hour. At high noon, the upper level also moves, with the 12 disciples passing before Christ, and the rooster at the very top crows.

Moving on to what really makes me tick: the amount of information on this clock is incredible. The time, obviously, but actually two times are on display on the clock at the bottom of the picture above: solar time and official time. Given Strasbourg's position in the time zone, there is a 30-minute discrepancy between the two. Then there's all the astronomical stuff, like the phase of the Moon (just visible at the top), the position of the planets relative to the Sun (middle of the picture), a celestial globe at the base (pictures below, on the right)...

The main feature behind the celestial globe is another clock displaying solar time, with the position of the Sun and Moon (with phases) relative to the Earth, sunrise and sunset times, surrounded by a yearly calendar dial. These have remarkable features, such as the Moon hand that extends and retracts, making eclipses noticeable, and the calendar has a small dial that automatically turns to place the date of Easter at the start of each year. This sounds easy, but look up the definition of Easter and note that this clock is mechanical, no electronic calculating power involved! Either side of the base, the "Ecclesiastic Computer" and the "Solar and Lunar Equations" modules work the gears behind these features.

The accuracy of this clock and its ambition for durability are truly remarkable. Relative to modern atomic time, it would only need adjusting by 1 second every 160 years, and it correctly manages leap years (which is not as simple as "every 4 years"). It just needs winding up once a week.

Finally, the history. The monumental clock was built in the 16th century, and used the calendar dial above, now an exhibit in Strasbourg's city history museum. It slowly degraded until the mid-19th century, when Jean-Baptiste Schwilgué restored the base and upgraded the mechanisms. The "dartboard" on the old dial contained information like the date of Easter, whether it is a leap year, which day of the week the 1st January is... - all of which had to be calculated by hand before the dial was installed! - and was replaced by the Ecclesiastic Computer, which freed up the centre space for the big 24-hour clock, complete with Solar and Lunar Equations.

As you may have gathered, I am a massive fan of this clock. Of course, nowadays, all the imagery and information would easily fit into a smart watch, but a smart watch isn't 18 metres tall and powered by gravity and gears!

The Tower of the Sun

With another World Expo underway at Osaka this year, a massive park to the North of the city (actually in the neighbouring city of Suita) sits on the site of the first Japanese World Expo in 1970. There's usually some form of centrepiece: in 1889 it was the Eiffel Tower, and at Osaka Expo '70, it was the Tower of the Sun.

It is a massive sculpture by Taro Okamoto, which it was possible to climb into to view another work called the Tree of Life. As it was going to have people inside, it needed a lightning rod - that's what the top face (officially a mask, but I tend to call it the "bird face" - whose eyes light up at night apparently) is sporting. The three faces on the back, front and top represent humanity's past, present and future respectively, though some art critics and historians have a more bleak interpretation due to Okamoto's larger body of work and stance against technological progress, something the Expo would put emphasis on.

Similarly to the Eiffel Tower, the Tower of the Sun was supposed to be a relatively ephemeral structure, and nearly all the Expo pavilions around it have been demolished. Like the Eiffel Tower, it was avant-garde and no doubt not everyone liked it. But this building is one of the few to be preserved, and requires regular attention - again, like the Eiffel Tower which needs periodic repainting. In any case, the Tower of the Sun is one of Osaka's most iconic landmarks.

Fruit, glorious fruit!

Little did I know until yesterday, the vineyards and orchards near Oberkirch, on the edge of the Black Forest, are magnificent at this time of year! Now I think of it, I didn't see any cherries, and apparently they are in season... maybe I just missed them. As for what they make with all this fruit in Germany, well...

That'll be schnaps.

Available in all good drink huts along the hiking trail! A friend and I saw a self-service drinks cabinet on another hike to the North of Oberkirch, but this circuit was on another level. I must have seen at least four drinks stops, ranging from a cabinet with a cash box to a full-fledged hut with shade and benches. It appears to be a local speciality, and I'd say this sells it quite well!

It's quite the feeling to enjoy a cold schorle (fizzy water with a dash of juice, I passed on the schnaps because I don't go for alcohol) with an incredible view on the way back down a hill on a hot day!

200 km/h push-pull trains

While Germany has recent double-deck train carriages, the Dostos shown previously being built in the 2000s, and updated versions still being produced, France made its last carriages in the 1980s, including Corail cars for inter-city services. But their use was curtailed by the development of the high-speed network.

Some sets were given push-pull ability, with a driving cab at one end that can control the locomotive at the other - the lead car above being a renovated B5uxh: second-class seating, 5 compartments, air-conditioned, driving cab, disabled access. These have found a new lease of life in regional transport, especially in the East, as the straight and flat Alsace line from Strasbourg to Basel allows these 200 km/h-capable carriages to stretch their legs. The "TER 200" puts Strasbourg only 80 minutes from Switzerland (wink-wink-nudge-nudge for a future trip).

The usual motors for these sets are BB 26000 "Sybic" locomotives built in the 1990s, powerful enough to get them to their top speed. While not at top speed in this setting, probably running at 100 km/h on the slower line to the Lorraine region, they still feel like very big trains when they go by.

Other push-pull trains exist in Alsace, with smaller locos and carriages rejoining the fleet for the planned Réseau Express Métropolitain Européen. However, most passengers trains everywhere in France now are covered by multiple units, especially since bi-mode units like the Régiolis shown below, have appeared. These are capable of running on electric power or with a Diesel engine, making them as flexible as can be.

To end the "Canal Contraptions" mini-series, here's a brief look at the Keage Incline on the Lake Biwa canal in Kyoto. Located near Nanzen-ji and its famous aqueducts, it's apparently a popular sakura spot, not that I'd know visiting in July...

Boats were loaded onto wagons at one end of the slope, and hauled by an electric engine up or down before being unloaded back into the water at the other end. Thinking about it just now it sounded rather ludicrous to me, but I was picturing long European-style barges, but the boats of Meiji period Japan were probably not that big, as a picture of the surviving wagon shows.

We didn't go down to the incline, it was just something the friends I was travelling with that day brought up between Nanzen-ji and our next destination. Something to go back for...