A Last, Albeit Light, Taste Of Winter For This Season In The Hills Of Southern Schwarzwald. There Should

Hikone Sawayama: base

Walking North along the railway from Hikone station, one reaches the base of the hiking trail up Sawayama. After passing Nagabayashi Inari-jinja, a typical shrine dedicated to the shintô deity of prosperity with its succession of red torii gates, several temples appear, featuring monuments to two historical figures of Hikone, Ishida Mitsunari and Ii Naomasa. More on them when we reach the top.

This is Ryôtan-ji Sanmon, the "gate to the mountain" which leads us to the grounds of Ryôtan temple and starting the short, sharp climb. As we begin, we are met with more popular Japanese deities: the Shichi-Fukujin, or Seven Lucky Gods.

Apparently Ryôtan-ji has a fantastic zen garden, but we missed it.

Temples on the high street: Kyôto Teramachi and Shinkyôgoku

A typical Japanese covered high street, right? Yes, there are lots of shops left and right, but this is Kyôto, a millennial capital and centre of cultural and religious tradition in Japan. So what happens when a modern high street encounters a centuries-old temple, bearing in mind that it would be very bad form to ask the priests to sell up?

Well you leave the temple alone and build around it. So, in between the big name drugstores, Animate, clothes shops and cafés lined with the street's signature bricks and tile floor, here's the entrance to Seishin-in, with traditional wooden doors and tile roofing. It is also just visible in the first picture - see if you can notice it.

Seigan-ji is easier to spot, further illustrating the contrast. Online maps show that this temple even has a cemetery in the middle of the next block, completely encircled by shopping streets and businesses.

It's a similar situation for Tenshô-ji, though, this far up the high street, the commercial tissue becomes less dense. These temples seem a bit larger and own more land. Still, we've gone from a towering, mineral, covered street in the top photo, to an open path with low buildings and plenty of vegetation, with no transition.

These scenes of coexistence fascinated me when I first visited Kyôto in 2016, with a hotel in this area, so it was great to see them again on my brief return to the city in 2023. More fascinating still is the fact that one of these "just off the high street" temples is not only very old, but hugely historically significant... and I'm yet to mention it!

Sangaku Saturday #14 - the grand finale!

We are only a few steps of algebra away from solving the "three circles in a triangle" problem we set in episode 7. This method will also yield general formulas for the solutions (first with height 1 and base b; for any height h and half-base k, set b=k/h and multiply the results by h).

Before we do that, it's worth noting what the sangaku tablet says. Now I don't read classical Japanese (the tablet dates back to 1854 according to wasan.jp), but I can read numbers, and fishing for these in the text at least allows me to understand the result. The authors of the sangaku consider an equilateral triangle whose sides measure 60: boxed text on the right: 三角面六尺, sankaku-men roku shaku (probably rosshaku), in which 尺, shaku, is the ten marker. In their writing of numbers, each level has its own marker: 尺 shaku for ten, 寸 sun for units, 分 fun for tenths and 厘 rin for hundredths (毛 mô for thousandths also appear, which I will ignore for brevity). Their results are as follows:

甲径三尺八寸八分六厘: diameter of the top (甲 kou) circle 38.86

乙径一尺六寸四分二厘: diameter of the side (乙 otsu) circle 16.42

反径一尺二寸四分二厘: diameter of the bottom (反 han) circle 12.42

I repeat that I don't know classical Japanese (or much modern Japanese for that matter), so my readings may be off, not to mention that these are the only parts of the tablet that I understand, but the results seem clear enough. Let's see how they hold up to our final proof.

1: to prove the equality

simply expand the expression on the right, taking into account that

(s+b)(s-b) = s²-b² = 1+b²-b² = 1.

2: the equation 2x²-(s-b)x-1 = 0 can be solved via the discriminant

As this is positive (which isn't obvious as s>b, but it can be proved), the solutions of the equation are

x+ is clearly positive, while it can be proved the x- is negative. Given that x is defined as the square root of 2p in the set-up of the equation, x- is discarded. This yields the formulas for the solution of the geometry problem we've been looking for:

3: in the equilateral triangle, s=2b. Moreover, the height is fixed at 1, so b can be determined exactly: by Pythagoras's theorem in SON,

Replacing b with this value in the formulas for p, q and r, we get

Now we can compare our results with the tablet, all we need to do is multiply these by the height of the equilateral triangle whose sides measure 60. The height is obtained with the same Pythagoras's theorem as above, this time knowing SN = 60 and ON = 30, and we get h = SO = 30*sqrt(3). Bearing in mind that p, q and r are radii, while the tablet gives the diameters, here are our results:

diameter of the top circle: 2hp = 45*sqrt(3)/2 = 38.97 approx.

diameter of the side circle: 2hr = 10*sqrt(3) = 17.32 approx.

diameter of the bottom circle: 2hq = 15*sqrt(3)/2 = 12.99 approx.

We notice that the sangaku is off by up to nearly a whole unit. Whether they used the same geometric reasoning as us isn't clear (I can't read the rest of the tablet and I don't know if the method is even described), but if they did, the difference could be explained by some approximations they may have used, such as the square root of 3. Bear in mind they didn't have calculators in Edo period Japan.

With that, thank you very much for following the Sangaku Weekends series, hoping that you found at least some of it interesting.

World's Loudest Prius

In 2012, apr, one of the big teams on the Japanese GT scene, decided to do... Well, I'll just tell you what they did, you can make your own opinion: they took a Toyota V8 originally designed for American open-wheel racing, which was due to be used for Toyota's return to the Le Mans 24 Hours, plopped it in a mid-rear position on a race chassis, cobbled together a hybrid system with various parts from production cars in the Toyota range, and covered all this with a Prius-shaped bodyshell with an ultra-aggressive aerokit.

To me, the result is both brilliant and ridiculous in equal measure. Brilliant because it worked: as the first full-time hybrid competitor in the Japanese Super GT Series, the mid-engined Toyota Prius apr won 4 races, scoring 16 podiums, and finishing as high as second in the GT300 championship twice in a 7-year career.

Ridiculous because it's the complete antithesis of a road-going Prius, to the point of being the loudest car in the field! When I first witnessed the Prius apr at Motegi in 2016, I could only gasp and laugh; there's no way a Prius should be this loud! And it was a joy to see it again testing at Suzuka in 2018, in what would be this version's final season.

In 2019, the next-generation Prius apr would not be mid-engined, as per the rules that forced manufacturers to put the engine where it is in the road car, and the screamer was replaced by a growler - still ludicrously loud, and I wouldn't want my Prius race car any other way! By the time I visited Super GT a third time at Fuji Speedway in 2023, the Prius was no more, but I jumped on the chance to get a miniature of this remarkable car.

For more on its history, development and results, Roflwaffle has a 35+ minute video on it.

Hello Kitty Shinkansen. Yes it's real, and it's a lot of fun.

A year ago, I planned a trip between Hiroshima and Kokura on what I feel is the wackiest train concept imaginable. Take the 500 Series Shinkansen, an absolute rocketship (and IMO the best train ever) and wrap it in pink. That didn't sound too appealing to me when I first heard of the project, but I've got to say, the livery is a banger, and turned a lot of heads at every station we stopped at!

The train remains on a regularly-scheduled service, a return trip between Hakata, Fukuoka on Kyûshû, and Shin-Ôsaka as an all-stop Kodama, so it's a normal train... save for two cars. Car 1 is basically a shop, while car 2 is the Kawaii! Room, a seating car in full Kitty mode!

The front of car 2 also has a space to pose with Kitty-chan. As a collab, the Hello Kitty Shinkansen takes the opportunity to showcase the prefectures JR West serves, with Kitties on the map promoting each area's special feature, such as "the great lake" in Shimane (Shinji-ko), "we love this pear!" for Tottori (though Kitty seems to be holding an apple?), takoyaki for Ôsaka, and Hyôgo is "proud of Bread" (any thoughts on that @todayintokyo?). These 8 local characters are repeated on each of the 8 cars outside.

While I'm not a fan or particularly knowledgeable about Hello Kitty, I thoroughly enjoyed riding this train. It's over the top with Easter eggs everywhere, down to the jingles! (not my recording)

All that's left to say is...

"Stick an aircraft engine in it" part 2a - SNCF Turbotrains

Developed in the late 1960s and introduced in the early 1970s, Turbotrains were France's attempt at higher speed rail. Equipped with lightweight and powerful helicopter-based gas turbines, they were capable of 160 km/h service.

However, that introduction date spelled rapid doom for the ETG (Élément à Turbine à Gaz) and RTG (Rame à Turbine à Gaz) types. They were built so they had to be used, the noise and the 430 L/h consumption rate be damned (3 times the consumption of an equivalent Diesel train, and that's just for the prime mover, add another 150 L/h for the generators), but they were constantly moved away from more prestigious routes as soon as those were electrified.

This 1981 photo by Yves Broncard is one of my favourite "so 1970s" pictures: a gas turbine train at Boulogne Aéroglisseurs station, with a massive SR.N4 car-carrying hovercraft arriving in the background - "stick an aircraft engine in it" mentality taken to the max, on land and sea, a combination that seems irrational today.

The last RTGs were withdrawn in the mid-2000s, and one car, T2057, is preserved at the Cité du Train museum in Mulhouse (top photo). But there is another gas turbine train we need to talk about, the one that first bore the letters TGV...

Suzuka Circuit

April became Formula 1 month for Suzuka last year, but back in 2018, it was the venue for a Super GT test weekend. I took the opportunity to enjoy the circuit in a much calmer atmosphere, though the weather was very changeable on the day (I got drenched walking down to Inô station afterwards!).

Opened in 1962, the track is very much enjoyed by drivers for its large variety of corners (the Esses, hairpin, chicane, the double-apex sweeper at Spoon, the dauntingly fast 130R...), and has an unusual figure-of-8 shape, crossing over itself - the bridge is before this hairpin, just out of shot on the left. On a test day like this, most grandstands are open to all, offering the viewer a similar variety of angles and vantage points.

The paddock was also open for the relatively few fans to walk around and have a chance to meet the drivers (James Rossiter pictured above). But even then, 2018 was the year Jenson Button was racing, and his garage got a lot of attention!

Despite the weather which turned miserable in the afternoon, the teams didn't shy away from running. There were even a couple of Safety Car training moments: rolling restart, and full SC procedure with class separation.

Eckwersheim rail accident memorial

On the northern edge of the Strasbourg Metropolitan Area, the high-speed railway line crosses the Marne-to-Rhine Canal (of which I've said quite a lot recently) and curves to the South to join the trunk line into Strasbourg. It was here, on 14 November 2015, in the months prior to this section opening, that a test train derailed catastrophically, killing 11 and injuring 42.

The immediate cause of the derailment was over-speed: the crew had failed to brake in advance of the curve and headed into it 90 km/h faster than they should have. The reasons for this failure are a point of contention; as far as I have understood, the accident report hasn't managed to clearly identify them as there was no voice recorder in the driver's cab. The accident has been in the news recently as the trial of the driving crew and the companies involved has just taken place, with the verdict due to be returned in October.

I have been travelling on the accident tracks for years, and possibly since the first time I took the TGV to Strasbourg in 2017, I have made a note of this particular curve, recognising the red bridges from those terrible pictures from the news, not out of anxiety, but out of awareness of what had taken place. Knowing that a memorial garden sits there, and with the court case wrapping up, I decided to go out and see it in person.

Quite isolated from outside noise by the two elevated train tracks either side, and with the canal and paths ahead, the atmosphere there is indeed very peaceful. A large plaque recalls the event, while 11 stones are scattered around the site for the deceased.

"En hommage aux victimes et aux personnes profondément touchées par l'accident de la rame d'essais du 14 novembre 2015, à celles et ceux qui nous ont quittés"

Friendly faces on Dôtonbori

Dôtonbori is the street to go restaurant crawling in Ôsaka (if you have the stomach). As there's a lot of venues, there's a lot of competition, so a lot of wacky stuff to draw the passer-by's attention.

If anyone knows why this restaurant is called Shôwa Hormone, please let me know. Shôwa, I can guess, is nostalgia for the post-war Shôwa era; but Hormone needs a good story behind it!

Is this guy mad at people double-dipping their fried skewers?

By the way, that's two fronts featuring another monument of Ôsaka, Tsutenkaku tower, just in case you forgot where you were.

Finally, we have this guy, a true local hero: Kuidaore Tarô. This animatronic was introduced in 1950 as a mascot for the Cuidaore restaurant, which has since closed, but Tarô and his drumming were such a stable of Dôtonbori, that people clamoured to have him back.

I dunno. I think he looks like Brains from Thunderbirds under the influence of the Mysterons. A figure of his time though.

"Kuidaore" by the way, is from the proverb:

京都の着倒れ、大阪の食い倒れ Kyôto no ki-daore, Ôsaka no kui-daore Spend all your money on clothes in Kyôto, and on food in Ôsaka

Today, "kuidaore" is colloquially translated as "eat until you drop" - so go restaurant crawling if you can!

Climbing Toba Hinoyama

The road (and I guess that is the only downside: it is a road all the way) to the top of Hinoyama starts with the welcoming entrance to Jôan-ji temple.

After some 800 m uphill, past a rather large resort hotel, a chance for a break appears: a viewpoint with a camera stand (which may have been the first time I noticed one! very handy for group shots, though I was alone of course), and an art garden called Medaka no Gakkô, or the school of rice fish. Not knowing that at the time (I looked it up for this piece!), I didn't notice the fish, but I did notice the art and the wisteria in full bloom.

Most of the climbing is done at this point, and it's only another 300 m to the entrance to the shrines at the top of Hinoyama. Shrines, plural, and of various sizes, as the modest Hakuryû Inari-jinja sits next to the grander Toba branch of Kotohira-gû.

On the right, at the bottom of the stairs of Kotohira-gû, one finds the donors' board, and an inviting path... to the views shown in the previous post.