2016-10 - Blog Posts
Nijô-jô
In my experience, Nijô Castle in Kyôto is one of the most unusual in the Japanese castle landscape, in that the main focus of the conservation and tourist attraction is on a palace, the Ni-no-maru Goten, rather than a dungeon (whether reconstructed or original). It is true that, as the Tokugawa shôgun's residence in the Emperor's back yard, it was a focal point of Edo-period politics.
The palace sits behind a grand gate, decorated with lots of gold and colours. And as all noble residences from the Edo period go, there's a vast, carefully crafted garden on the side, complete with tea houses.
But all this is part of the Ni-no-maru, the area around the Hon-maru main keep. Given that the mountains around Kyôto are largely occupied by temples and shrines, there's not much of a height advantage to be gained in the city, to the point where, when the Hon-maru burned down in the 1780s, nothing was rebuilt, it was left bare!
Eerily, the Tokugawa shôgun's Kyôto castle has a similar story to the one in Edo: there was a keep, but it was destroyed during the Edo period and wasn't rebuilt, and both castle grounds were transferred to the Imperial Estate at the start of the Meiji era. It was in the 1880s that the Hon-maru palace was built, in the space the Tokugawas had left vacant.
Japan's first Concorso d'Eleganza
A Concorso d'Eleganza is basically a beauty pageant for historic cars. Based on similar contests for horse-drawn carriages, called Concours d'Élégance, the Italian name references the fact that the most famous competition in the genre for cars has taken place in Italy since 1929.
The Japanese version was launched in 2016, with the amusingly-named "Artistic Cars at the World Heritage, since 2016" exhibit at Nijô-jô, Kyôto. I say amusing, because they were using the "since 2016" tag in 2016, and... it hasn't used that name since! Nonetheless, the sight of these immaculately preserved cars in the lovely palace gardens was impressive.
Among the cars built between the 1950s and 1990s, there was an exhibit with rare Zagato specials. Particularly obscure is the Autech Zagato Stelvio, shown above and below. Of the three names, Zagato is the best known: they are an Italian coachbuilder, who make unique bodywork. Autech is a Japanese tuner, working most closely with Nissan. And the Stelvio is a late-80s mix of all that: a modified Nissan Leopard with very unique design choices, such as the wing mirrors in the fenders.
The Concorso d'Eleganza Kyoto is set to resume this year, having been put off due to the pandemic and the restrictions surrounding it since 2020. The principle hasn't changed: they're going to show some remarkable historic cars in a historic Japanese setting - at Nara this time.
@chitaka45 just published some gorgeous photos of Shinsen-en in the snow (I love their photos in general BTW, Kyoto's shrines and temples in all their glory!). I found this place by chance while walking to Nijô-jô in 2016 - different season, different colours.
Part garden, part temple, part shrine, Shinsen-en dates back to the start of the Heian period, when it was an Imperial property. One of its most distinctive features is the Dragon Boat, which apparently serves for Moon viewing events. Several Japanese seasonal traditions, like Moon viewing and cherry blossom viewing, are said to originate in Heian-period Kyôto.
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...
As the maths problems take a break, maybe we can have a brief pub quiz. So...
Q. What's that building on the 10-yen coin?
A. The Phoenix Hall at Byôdô-in, Uji.
Initially built as a villa by a member of the Minamoto clan just before the year 1000, the land was sold not long after to members of a rival clan, the Fujiwaras, who turned it into a Buddhist temple named Byôdô-in in 1052. The most striking feature of the temple is the Amida Hall, which with time gained the name Phoenix Hall due to its overall appearance: the two outer corridors are the wings, and a corridor extending behind is the tail.
At the same time, tea production was picking up in Uji, and by the 14th century, Uji tea had become well renowned. I need to go back there someday, my first visit was just an afternoon flick after completing the climb of Mt Inari in the morning. I thought of going back there in the summer of 2023, but couldn't quite make time for it.
Sangaku Saturday #4
In the previous info post, we went over the debate on the religious aspect of sangaku, and the fact that the absence of prayers on these tablets was more puzzling to some than the mathematics. As such, the tablets are not ema prayer tablets, but donations, which usually don't feature prayers on them. Case in point, some consecrated sake and French wine seen at Meiji-jingû in 2016.
Beyond wishing for good fortune and health, such donations serve two very worldly purposes: to contribute to the life and prestige of the shrine or temple (having a famous contributor makes the shrine famous by association), and to advertise the donor in return, as their name is on display. See this large torii at Fushimi Inari Taisha paid for by TV Asahi (テレビ朝日).
With that in mind, Meijizen's cynical comment from 1673 that sangaku aim "to celebrate the mathematical genius of their authors" may not far from the truth. The authors of sangaku are looking to gain notoriety through the publicity that the shrine or temple provides. But was the bemused Meijizen the target audience?
More on that in a couple of weeks. Below the cut is the solution to last week's problem.
The solution to the first problem (below the cut in this post) is the key. Name K, L and M the intersections of the three circles with the horizontal line. Then, by using that previous result,
Indeed, as in that problem, we can construct three right triangles, ABH, ACI and BCJ and apply Pythagoras's theorem in each.
Now, it suffices to note that KL = KM + LM, so
or, dividing by 2*squareroot(pqr), we get the desired result:
Inverting and squaring this yields the formula for r:
This gives us the means to construct this figure on paper using a compass and a marked ruler. Having chosen two radii p and q and constructed the two large circles (remember that AB=p+q) and a line tangent to both, placing M and C is done after calculating the lengths IK=CM=r and IC=KM=2*sqrt(pr).