This Japanese Photographer Specializes In Shooting Ninja Cats, And The Result Is Too Purrfect

Turns out, cats know more martial arts than ninjutsu. Japanese photographer Hisakata Hiroyuki has decided to dedicate a fair portion of his time to shooting cats during their totally serious combat practices, and the result is purrrfect.

Threatening stares, explosive kicks, powerful punches, Hiroyuki has captured it all. He has successfully proven that felines have unlocked all of the secret fighting techniques, and even Mr. Miyagi could learn a thing or two from these martial arts masters. 




The Topless Duel Between A Princess And A Countess


The history of dueling is full of shocking moments, like the time the vice president shot and killed the Secretary of the Treasury - that was, of course, the duel between Alexander Hamilton and Aaron Burr. But no duel was more shocking than the topless duel between fought a princess and a countess. It was called the first emancipated duel because not only were both duelers women, their seconds and the doctor on hand to tend their wounds were also women. Female sword duels were uncommon, even by the late 19th century when the topless duel was fought.

Abandoned suitcases of insane asylum patients

Case with green enamel hair brush set strapped to lid. Abandoned suitcase with yellow alarm clock, straw broom, small Scotty dog figure, shoe polish cream and booklet.

These fascinating images show abandoned suitcases which belonged to patients who were residents of the Willard Asylum for the Chronic Insane between the 1910s and early 1960s. The institution stored the cases when patients passed away; when it closed in 1995, staff came across the forgotten cases, and thoughtfully gave them to the New York State Museum for preservation. This incredible collection was featured in a recent article by Hunter Oatman-Stanford on Collectors Weekly, in which he provocatively asks: “If you were committed to a psychiatric institution, unsure if you’d ever return to the life you knew before, what would you take with you?”

The suitcases were photographed by Jon Crispin as part of a larger artistic project documenting abandoned mental hospitals. However, in the context of the Collectors Weekly article, these fascinating suitcases were presented first and foremost as museum or personal objects, and only secondarily as contemporary art images. (Oatman-Stanford does, however, go on to conduct a very interesting article with Crispin about the Willard institution and its patients, which you can read here). This is probably unsurprising considering the slant of the publication, but it nonetheless brings up an interesting blurriness between museum object, artwork, so-called ‘outsider art’ and personal possessions.

Each suitcase is, itself, almost like a mini museum about the owner: a small collection which can give you a glimpse into his or her life and interests. Of course, they were not compiled for this reason, but I think that just paints an even more alluring portrait of the person and what their objects might say about them.

Open suitcase with vintage family photos, clock and fork and knife. Suitcase with old notebooks, books, metronome and small bear figurine. Four little drawers with sewing patterns and hair curling irons. Abandoned suitcase with old family photographs, buttons, wallet, and Camay soap. Open suitcase with black hat and blue shoes. Suitcase with handwritten list of fabrics, sequins, toothbrush, luggage tag, gloves, comb. Old, battered black suitcase. Case with Bible, Christian philosophy booklet, dog figurines, record and rulers.
Suitcase showing war porait and ration book, other personal items
// All images by Jon Crispin, from Collectors Weekly.

Would dew believe it: The stunning pictures of sleeping insects covered in water droplets [via Nina Reznick]

By Daily Mail Reporter Glistening in the early morning, these insects look like creatures from another planet as dew gathers on their sleeping bodies. Captured in extreme close-up, one moth appears to be totally encrusted in diamonds as it rests on a twig. Stunning: Droplets of water bead on the head of this blue dragonfly as it slumbers on a leaf Dragonflies, flies and beetles also take on an unearthly quality as the water droplets form on them. These remarkable photographs were taken by physiotherapist Miroslaw Swietek at around 3am in the forest next to his home. Using a torch, the 37-year-old amateur photographer hunts out the motionless bugs in the darkness before setting up his camera and flash just millimetres from them. Close up: Amateur photographer Miroslaw Swietek captured this common fly slumbering on top of a plant as the water condenses on its body Bejewelled: This month looks like it has been encrusted in diamonds as it rests on a twig Mr Swietek said: 'I took up photography as a relaxing hobby two and a half years ago and I particularly like taking pictures of insects and lizards. 'I photograph them in their natural environment in the forest next to my village. 'They all are covered in dew because I go to the forest in the morning at around 3am. 'At 3am to 4am insects are sleepy and taking photos of them is easy, but it is very difficult to find them. Close up: The insects appear to be completely drenched in water as they rest while the sun is down Shower time: Mr Swietek gets up at 3am to capture the insects while they are less active in a forest near his home 'You must be very fast taking the photos because the dew quickly disappears. 'It is very satisfying getting a good shot of an insect which I have had to hunt out. 'I have books which help my identify insects but because they are all covered in dew I find it almost impossible to know which types they are.' Although insects do not 'sleep' in the same sense as humans, they enter a state of torpor where they are virtually immobile and much less sensitive to external stimuli. Mr Swietek lives with his wife and teenage son in Jaroszow, a village in Poland around 30 miles from the city of Wroclaw. Clinging on: The amateur photographer searches for the insects using a torch and then sets up his camera and flash right next to them Hobby: Another dragonfly enjoys an early morning wash. Mr Swietek only took up photography two and a half years ago Read more:

Publisher's Weekly Reviews Story Merchant Client Dennis M. Walsh's Nobody Walks: Bringing My Brother's Killers to Justice

Nobody Walks: Bringing My Brother’s Killers to Justice

Dennis M. Walsh. St. Martin’s/Dunne, $26.99 (304p) ISBN 978-1-2500-0548-9

Walsh, a criminal defense attorney for 30 years, tells the blistering true story of the 2003 murder of one of his brothers, Christopher, who was discovered in a trash barrel in a California storage locker. Despite law enforcement’s reluctance to pursue the case since the author’s father and younger brother were in prison on drug charges, Walsh shoulders the burden and delves into the nadir of the criminal underworld, quizzing thieves, skinheads, Nazi bikers, hookers, and porn queens to construct something meaningful from various lies and schemes. Good leads dead-end and seemingly ironclad confessions crumble, but the author’s resourcefulness and determination to catch his brother’s killers keep this sordid tale moving along at a quick clip. Walsh keeps his law practice operating throughout the ordeal, but still finds time to persuade reluctant witnesses to offer their testimony and cooperate with authorities; after four years of sleuthing, the trial finally begins. The hearing is a real corker, chock-full of twists and turns, and written with passion and an eye for drama. Taut and relentless, this chronicle of a former cold case puts one man’s resolve and the American idea of justice to the test. B&w photos. (Feb.)

Native Americans by Edward Curtis [via Nina Reznick]

The North American Indian by Edward S. Curtis is one of the most significant and controversial representations of traditional American Indian culture ever produced. Issued in a limited edition from 1907-1930, the publication continues to exert a major influence on the image of Indians in popular culture. Curtis said he wanted to document "the old time Indian, his dress, his ceremonies, his life and manners." In over 2000 photogravure plates and narrative, Curtis portrayed the traditional customs and lifeways of eighty Indian tribes. The twenty volumes, each with an accompanying portfolio, are organized by tribes and culture areas encompassing the Great Plains, Great Basin, Plateau Region, Southwest, California, Pacific Northwest, and Alaska.


Mathematical Culture and ENCOUNTER with MATHEMATICS

Yoshihiko Mitsumatsu
Professor of Geometry (Specializing in Differential Topology), Dynamic Systems and Mathematical Physics,
Faculty of Science and Engineering, Chuo University

What is Mathematical Culture?

Does mathematics in general, and particularly modern mathematics, give people a cold clinical image? And do people avoid it precisely because it is so difficult? To a certain extent, the answer to both these question is yes, with many discoveries today the result of highly complex and abstract research, albeit challenging and exciting at the same time. However, the depth and breadth of such excitement and thrills are not impartial; rather, they are deeply related to the Mathematical Culture that exists in the background.
If a person is enchanted by the appeal of mathematics as a young child and decides to pursue a career in mathematics, he/she may be lucky enough to produce successful results at the end of an arduous period of training. In other words, they may be lucky enough to discover and prove a theorem, or even to establish a new theory. However, compared to rushing towards the cutting-edge (or, as some would say disparagingly, the minor details) of each segment of the field, a great difference arises in mathematical understanding when focusing on taking a broader and more fundamental view of the same topics. This is greatly influenced by the background of Mathematical Culture, an area which I would like to share with you in this article. Additionally, I would like to introduce the activity ENCOUNTERwithMATHEMATICS, whose task it is to foster and disseminate the Mathematical Culture.

Is there only one answer to mathematical questions?

High school students, who aspire to enter university mathematics departments, often say that mathematics is enjoyable since there is only one correct answer and no confusion. Actually, there is also a belief in general that math problems have only one answer. This may be true in the sense that answers are very clear, and certainly it is for simple computational problems. In order to facilitate grading of entrance examinations, there is a trend to create problems that have only one answer. However, generally speaking there are many cases in which problems with more than one answer make better questions. For example, consider a question that asks what kind of triangle is an equilateral triangle. There are at least two correct answers to this question - a triangle with three sides of equal length or a triangle with three angles of equal degree. This is true because a theorem states that equal lengths and equal angles are equivalent conditions. Now, consider a question that asks for a function that is drawn as a straight line. Would it be best to answer with a function that becomes zero after it has been differentiated twice? Or would it be best to answer with a function of degree 1?
Furthermore, a polynomial function of degree 3, which is zero up to the second degree, is the same as a function satisfying f(ax)=a³f(x), where "x" is a variable and "a" is any constant (polynomials that provide such a function are called homogeneous of degree three). The best expression depends on the particular case.
So, is there one answer or two answers to the next question? Or perhaps I should suggest that no answer exists at all! This problem deals with the size of infinite sets. Both ℝ, the set composed of all real numbers, and ℚ, the set composed of all rational numbers, are infinite sets. However, the size of "infinity" in each set is completely different. When taking ℚ away from ℝ and then placing the remainder in a row on the real line, it is true that irrational numbers are missing. However, rational numbers can be distributed in any given place. This means that ℚ exists deep within ℝ. Conversely, when aligning ℕ, the set of all integers, along the real line, the integers exist discretely or extremely infrequently when compared to the rational numbers. Still, both ℕ and ℚ have the same size as infinite sets. For example, assume that positive rational numbers are presented as irreducible fractions. When numbers are assigned in order, beginning from the smallest sum of numerators and denominators, a response of 1-to-1 occurs between the positive rational numbers and the natural numbers (assigned numbers). However, the same method cannot be used to assign numbers to real numbers. This is because there is a much greater amount of real numbers. Even the closed interval of [0,1] is the same size as ℝ. The symbol # is often used to express the size of sets. In the case of a finite set A, #A represents the number of elements. Similarly, ♯φ=0 is used for the empty set φ. The process explained above is there for expressed as ♯ℕ=♯ℚ<♯ℝ.
So, are ♯ℚ and ♯ℝ infinities that exist adjacent to each other? Let's look at this question in more detail. If they are not adjacent, it must mean that an infinite set X exists for which ♯ℚ<♯X<♯ℝ. If the problem is formulated in this way, many mathematicians will respond that there is no answer (actually, it depends on their position). What in the world does this mean?
In terms of ZF or ZFC, which are axiomatic systems (or logical frameworks for discussion) that are currently used as standards in modern mathematics, this problem is by no means unanswerable. More specifically, it has been proven that no contradiction occurs in axiomatic systems regardless of which answer, namely Yes or No, is given (Kurt Gödel 1940, Paul Cohen 1963). This discovery caused quite a shock to mathematicians, as well as to many parts of the rest of the world, in the middle of the 20th century.
My argument has gone off on a tangent, however. In the case of proof problems, it is inherently clear that more than one method often exists for proving a certain fact. However, depending on the type of problem the question of whether multiple answers exist for a mathematical problem may be meaningless. Normally, it is best to assume that many answers exist. Indeed, the ability to state a mathematical phenomenon in many different ways increases the richness of that phenomenon. The mathematics that provides an understanding of this phenomen is also enriched (as are the humans who have understood it). This fosters richness and an organic nature in mathematics.

The path of 20th century mathematics

Starting in the second half of the 20th century, the appreciation of the beauty and richness of 19-th century mathematics started to develop. Thanks to the discovery of calculus in the second half of the 17th century, the stagnation of mathematics experienced a sudden spurt in growth and has made great strides in the last 350 years. From today's perspective, the stringency of logic was quite dubious until the 19th century. However, at the very least, a handful of great geniuses served as leaders who advanced mathematics in the right direction, constructing theory closely related to mathematical objects and avoiding rampant fragmentation of mathematics into separate fields.
Then, upon entering the 20th century axiomatism was introduced. Although, logical stringency began to thoroughly permeate all areas of mathematics, the effect of growth was to split the field into different directions. As a result, internal advancements within each field became conspicuous. Ultimately, it seems that mathematics fragmented into many fields and grew at the same time, while losing its organic nature. In particular, a mathematics group called Bourbaki appeared in France. The group worked to safely preserve the important advances of modern mathematics of axiomatization and abstraction (mathematical principles) for future generations to the greatest extent possible. Moreover, a pronounced trend among western universities after WWII was that mathematics and physics existed within a framework of separate undergraduate schools and departments. Before this, mathematics and physics had been indivisible. On the other hand, Russia did not divide mathematics and physics to the same degree as western countries. At that time, Japan was working feverishly to catch up with (and even surpass) western culture, so the system of axiomatization and segmentation was readily accepted. In terms of general mathematics in Japan, it was natural to attempt to reach the latest advances in each field as quickly as possible.
As an adherent of western culture, we first became aware of the gap with Russia in the last quarter of the 20th century. The mathematics education that I received at universities (graduate schools) from the 1970s to 1980s was segmented into different fields and was admittedly composed of a curriculum full of abstract theory. The same situation continues to stubbornly exist at almost all universities today. Of course, there are an infinite number of different study methods and teaching methods depending on the individual mathematician. One example is Mr. Tatsuru Takakura (a colleague of mine in the Department of Mathematics). Takakura is 7 years younger than me, but studied almost the same curriculum at the same university. Even so, Takakura has already recovered from his segmented and abstract mathematics education as a student and has gone on to acquire an organic and beautiful mathematical perspective.

Trends in France

In France there is the Bourbaki Seminar, which was started long ago by the aforementioned mathematician group Bourbaki. Recent outstanding successes from the world of mathematics are introduced by mathematicians who had nothing to do with the mathematician who developed the theory itself. In addition, the Ecole Normale Supérieure de Lyon (which I was affiliated with during the mid 1990s) began a series of meetings at the end of the 1980s known as Les Rencontres Mathématiques (Mathematical Get Togethers). At these meetings, experts and non-expert mathematicians and also young researchers spent a day-and-a-half discussing designated themes. These meetings were unlike anything in Japan and were extremely well received by audiences. It is astounding that the French put so much effort into cultivating the organic nature of mathematics!
All of the students that I saw at the Ecole Normale in Lyon had a solid understanding of classical analytical mechanics. I realized that they naturally absorbed and understood the origin of important problems in modern mathematics. I reached the conclusion that French mathematicians had developed their bold approach to preserving mathematics through abstraction because in the past they had already been familiar with and had substantially contributed to the other side, namely that of the organic and rich Mathematical Culture.


When I returned to Japan in the autumn of 1995, I wanted to create get togethers in Japan similar to the Bourbaki Seminar and Les Rencontres Mathématiques. Upon consulting with many individuals, the general opinion seemed to be that, unfortunately, get togethers like the Bourbaki Seminar were still not possible in Japan. If such meetings were to take place, it would have been the responsibility of The Mathematical Society of Japan. Conversely, people seemed to feel that Rencontres Mathématiques could be held, although it would be difficult. Therefore, beginning from November 1996, I started a get together named ENCOUNTERwithMATHEMATICS in the Department of Mathematics of Chuo University. I try to hold meetings four times a year. For meetings, we decide a theme and recruit a lecturer for an audience of non-expert professional mathematicians. A large number of expert mathematicians also join the audience, but we have our lecturers proceed without too much worry. These meetings discuss major academic trends and explicit topics that cannot be heard at normal lectures or research meetings. This makes the meetings very meaningful for young graduate students, who are close to becoming experts. Each time we have a large audience from all over Japan (please visit the webpage window).
Back in Lyon, Mr. Etienee Ghys (the founder of Les Rencontres Mathématiques) has expanded his activities even further. Unfortunately, the get togethers were dissolved in order to form a better organization. Whenever I meet Etienne somewhere in the world, I ask him how to have these mathematical activities carried forward by others. His answer is always the same - "If your activities are progressing well, then keep at it, even if it is tough." Following his advice, we are continuing our activities through cooperation with graduate students and parties both inside and outside the Department of Mathematics. At the end of January 2012, I will visit Lyon again after many years to pursue my research. Although no ENCOUNTERwithMATHEMATICS will be held until autumn, I will start them once again in September.
Yoshihiko Mitsumatsu
Professor of Geometry (Specializing in Differential Topology), Dynamic Systems and Mathematical Physics,
Faculty of Science and Engineering, Chuo University

Born in Tokyo in 1957. Graduated from the Department of Mathematics, University of Tokyo, in 1980.
In 1985, completed the Doctoral Program of the Graduate School of Science, University of Tokyo. Holds a PhD in science (University of Tokyo, 1985).
After serving as a Full-Time Instructor and Assistant Professor at the Faculty of Science and Engineering, Chuo University, assumed his current position in 1999. Has served as the Director of ENCOUNTERwithMATHEMATICS since 1996.
Current research focuses mainly on dynamic differential topology, such as foliations and contact structures. Also conducts research on theoretical mathematical physics.
His written work, Topology of 3D Contact Structures (The Mathematical Society of Japan; Mathematical Memoirs Vol. 1, 2001), contains many illustrations and is accessible to the non-specialist, even though it deals with extremely abstract and difficult material.
Among the different fields of geometry, contact structure theory in particular lends itself to geometric intuition. Conversely, it is a complex field in which even experts often make mistakes.