I write, therefore I am
With this variation on a famous statement by the philosopher Descartes, I would like to express that the act of writing about what happens in my life is important to me.
PARR introductionOn page 39 of The Phenemenon of scale: The art of nanotechnolology it says about PARR by WLFR: Begun in 1999, PARR is a research project regarding 'nano-aesthetics': the creation of a form on the smallest possible scale. For this project, a tiny imaginary universe of two dimensions was created, with only three 'natural law s': There is a five by four grid of positions, to give a possible twenty positions in total. Between two neighbouring points (horizontally, vertically or diagonally) a connection may, or may not, exist. It also displays nine PARR with seven points and nine connections. In all nine all points are connected through connections and there appear no (diagonal) crossing connections. Are these extra requirements, not stated here explicitly?
I wondered how many different PARR's there exist. I wrote the program PARR.cpp for counting them. This program generates the PARR page. I first decided to count the number of PARR's in which each pair of points that are neighbours, have a connection, and allowing crossing diagonals. The total of this is equal to 220. From this I calculated the number of PARR's with possible missing connections. This resulted in a total of 84,024,935,266,353,181 different PARR's. Next, I counted all PARR's where crossing diagonal connections are not allowed. I did this again in two steps. This resulted in a total of 4,147,603,839,035,069, which is a lot less, but still a huge number. Note that these include many PARR's that are not fully connected, meaning that it is not possible to find a path of connection connecting each pair of points. Of course, the numbers of PARR's calculated here contain many similar PARR's with respect to rotation, mirroring, and translation. This property could be used to reduce the number of cases that have to be studied. But that still would leave a large number of solutions. I guess that it is only possible to calculate the number of a relatively low number of points.
BookOn 11:31, I bought the book The Phenemenon of scale: The art of nanotechnolology from charity shop Het Goed, which I had seen last Friday, for € 1.00, including tip of 5 Euro cent.
Sunday, August 23, 2015
SunsetThis afternoon, we visited TETEM art space. But before we arrived there, be biked along Studio Dertien and noticed that there was exhibition of Cheng Liang and Han Xi. We went in to have a look. In Tetem, we first watch a documentary about Safecast, which is about measuring radiation levels in Japan. Secondly, we looked at Alpha town and citizen sensing by Frededik de Wilde. Next we watched the exposition of the descendants of Gerrit Jan van Heek (1837-1915). We especially liked one of the pictures of Sophia Bijkerk. After Tetem, we biked to Concordia where we looked at the Cargo exhibtion with works from Wessel Vreeken, Erik Luchtenberg, and Mark Bakema. In the evening, we walked to the Helweg to see the sunset and took some pictures, one of which is shown on the right.
BooksAt 10:30, I bought the following three books from charity shop Het Goed:
ZomergoI attended Zomergo, a rather relaxed Go retreat, for one day together with a colleague. In the morning, I played one game of go with Elske. It was an interesting game. I won with just one and half point (including the 6½ komi). The final state of the board is shown on the right. Some stronger players made some remakrs about some moves that could have made the difference larger for me. In the afternoon, I helped with preparing the dinner. I also went outside and had a short look at the workshop and a real life game of RoboRally where water pistols were used for the shooting. I stir fried the mie for the dinner, which included various ingredients from the common wood pigeon: breast, wings, legs, heart and lung. For desert we had Eton mess with home made meringue and strawberries marinated in rum. Simply delicious.
Havannah versus Hex (part 3)Today, I met with Ton, and I bought a Havannah board from him. We did not play Havannah (he is much stronger than me), but we played a game of Wings, a variant he invented. He also showed me Tetra-Hex (not sure about spelling) which is a connect all your stones variant of Hex which is played on a tetrahedron and where both players start with two stones on two of the four corners. If you can surround a stone of your opponent, you win the game, because your opponent will never be able to connect all her stones. He explained that connection games are only interesting if they have moves that are balanced with respect to the pie rule. We also compared the Hex database with the results presented on Computer Hex. We talked about the difference in complexity between the racing connection games and the non-racing games. I pointed out a remark that I found in MoHex 2.0: a pattern-based MCTS Hex player by S. Huang, B. Arneson, R. Hayward, M. Mueller, and J. Pawlewicz, where it says: By contrast, Timo Ewalds (private communication) found no improvement from using probabilistic simulations in the Havannah program Castro, possibly because any such improvement is overwhelmed by dynamic factors such as the sudden-death threat from rings. This seems to indicate that the complexity of Havannah, a racing game, is greater than Hex, a non-racing game where always one of the players wins. But I said that it might be difficult to prove that this complexity can be contributed to the racing property or has to do with the sudden-death of rings. It might be that Havannah is a more interesting game with respect to the properties described in Defining the Abstract. The master thesis Playing and Solving Havannah by Timo Ewalds contains an table about the state complexity of Havannah and Hex (among others). In order of complexity the table contains the following entries:
It appears that the size of the state space is strongly related to the number of cells, and thus also with the complexity of the game. Ewalds also writes: By comparison with the games that have previously been solved, size 3 Havannah should be trivial to solve, size 4 should be hard but possible with brute force, and size 5 may be possible but only if strong mathematical properties can be found to dramatically reduce the search space as is done in Hex. It seems that Havannah is slightly more difficult to solve, but that does not necessarily make it harder to play.
Rainbow at sunsetAt about 20:40, I noticed a rainbow when I looked outside on the street side of the house. I went outside to have a beter look, to see if I could make a photograph. I took my camera and went into the back garden. It was indeed a bright, double, round rainbow. I took several pictures, of which one is shown here on the right. I went out several times to see how long it lasted. It seemed to fade a little, but then around 21 it brighted up again. There was almost no rain, and at that time the sun was lighting up the clouds to the west and above from the underside. It also seemed as if the rainbow was in the clouds. Then again it began to fade and finally disappeared at the moment of the sunset at 20:09. (I noticed that it was getting darker earlier. Around this time of the year the sunset happens about two minutes earlier every day.) The picture also shows of the branches that are growing straight up from our magnolia. There are still some flowers in it. I have to prune it one of these days.
BookAt 13:43, I bought the book Zwerver by Johan Kelder from bookshop Broekhuis for € 2.50.
Havannah versus Hex (part 2)On July 18, I wrote about the complexity of Havannah versus Hex and said I would be working on a formalization of connection games. I made it a little broader, and wrote something on the formalization of abstract strategy games, which is actually a rewrite of a formalization of Havannah that I wrote some years ago. Yesterday, I found Havannah and TwixT are PSPACE-complete. It was already known that Hex is PSPACE-complete. According to the Wikipedia page about game complexity, Havannah (size 10) has a higher complexity than Hex (size 11). The numbers for Hex are from the article Games solved: Now and in the future by H.Jaap van den Herik, Jos W.H.M. Uiterwijk, and Jack van Rijswijck, which quotes the master thesis Computer Hex: Are bees better than fruitflies? by Jack van Rijswijck as it source. But after a quick scan through the thesis, I did not find those numbers. Possibly they are taken from one of the referenced articles. That Havannah (size 10) has a higher complexity than Hex (size 11) could be the result of the fact that the first more than double the positions.
Flowers in magnoliaI noticed some flowers in our magnolia. Many of them are in new branches. Here a picture of one of the flowers.
Friday, July 24, 2015
Institute for art historyToday, Peter Struycken and I visited the Netherlands Institute for Art History, also known asl RKD in Dutch. On forehand, we had made some requests about the materials we wanted to see, but soon it became clear that our small selection was far too large to be studied in one day. We started to work on the notes that Carel Blotkamp compiled for a catalogue of works, which, as it seems, was used for the 1974 exhibition. For this he send forms to all people owning works of Peter Struycken. Many of the works were know to me, but we also found some works that I had never seen before. Our greatest find was a panorama picture of P. Struycken - Structuur '67 exhibition on the back of which Peter had written all the Roman numbers of the works. This might resolve some of the riddles with respect to the Structuur '76 works. Peter also told me about the research he is doing with respect to the use of colours starting from the early Greeks in 500 BC.
BookAt 13:10, I bought the book Omgaan met kunst en natuur: Jo en Marlies Eyck in Wijlre with text by Henk van Os and photographs by Kim Zwarts from charity shop Het Goed for € 1.00 (including a € 0.05 tip). It contains pictures from to works by Peter Struycken. Op page 22 there is a picture of Komputerstrukturen 2 under the title Computerstructuur zwart wit 4-69. This is the only published picture of this work that I know of. There is a picture from the Struycken Structuur<->Elementen exhibition on which this work is also visible. On pages 41 and 42 there are pictures of Piet 5 under the title Piet v.
Trip to China 2010
-- contact -- Frans
My life as a hacker
The Art of Programming
HTML to LaTeX
eXtreme Programming Hamilton cycles