In fact, most people who run for their lives every day don't think about the meaning of life at all, and they don't take the initiative to talk about anything. Most people act subconsciously. For example, some men like to drink with friends, and then talk through alcohol. But a few people who really have some ideas do not necessarily know how to express their thoughts. It is not easy for a writer to have ideas, express them accurately and use words fluently and beautifully. To write a good article is simply a brainstorming. After writing, I often feel extremely tired and overworked.
Ironically, the industry that makes money is not necessarily a career that everyone loves. There is a sister who works in finance in Shanghai and works overtime until 4 am every day. She has no life at all. A few months later, her health collapsed, and she finally resigned and traveled around the world with a backpack. On the contrary, net writers with low incomes are all people who really love this business. In recent years, writing has become more and more difficult. Even at the hottest time of the internet, most full-time writers only earn a meager income of one or two thousand yuan a month. But even if I can barely make a living, I can't stop the author's enthusiasm for codewords, so I am willing to stick to it and continue to write. Humans seem to have a natural desire to speak. There is a mental illness, that's all. Patients will have the desire to force themselves to speak, and keep writing, and some of them are very good, which is really enviable. The inner strength is infinite.
I was deeply moved by the recently translated book. The completely useless philosophy in modern China's concept of money supremacy can open the door to a new world for you. From Pythagoras to Lacan, from boulogne Biongu's Japanese gardens to Carthage's tall pagodas, wandering in alfons Karl's world, but in the collapse of the Roman Empire, it brought a kind of spiritual voice and emotion.
Architecture, philosophy, mathematics, art and literature are all the crystallization of human thought. People often say, what's the use of knowing so much? Can't be eaten as food. It is also said that human beings laugh at the thought of God. Thinking is not a good thing for human beings. Life is a difficult journey, and thinking will only make it more difficult. But no matter how difficult it is, it has not stopped the development of human thought, and the wheel of civilization has been moving forward all the way. It's like walking in the corridor of the Louvre, surrounded by countless works of art. I don't know the age, author, brushwork, aesthetics and significance of most works, but I feel the sublimation of life. That moment makes me extremely happy. This is the power of civilization. Wisdom sublimates human beings and endows life with different colors and meanings.
There is a magical thing called Mobius ring, which contains the continuity of space. Some problems that could not be solved on the plane were mysteriously solved on Mobius.
1858, German mathematicians Mobius and john cleese Ting discovered that the paper tape loop made by twisting a piece of paper by 180 degrees and then gluing the two ends together has magical properties. Ordinary paper has two sides (i.e. hyperboloid), one front and one back, and the two sides can be painted with different colors; But such a paper tape has only one surface (that is, a single surface), and insects can climb all over the surface without crossing its edge (that is, there is only one surface). This paper tape is called Mobius tape.
Everyone can try. Super magic: take a long piece of white paper, paint one side black, then turn one end over and stick it into a Mobius belt. Cut the paper tape along the * * with scissors. Not only did the paper tape not split in two, but it was cut into a circle twice as long.
The newly obtained longer paper circle itself is double-sided, and its two boundaries are not knotted, but nested together. Then cut the paper circle along the center line. This time, you really split it in two. You get two paper circles nested with each other, and the original two boundaries are contained in two paper circles respectively, but each paper circle itself is not knotted.
Mobius rings are widely used in the fields of art and architecture. For example:
Landscape Architecture "Mobius Ring" printed in the Netherlands
Beijing Phoenix Communication Center Building
"Bird's Nest" Scheme of Taichung Cultural Center
In addition, there is a branch of mathematics developed in modern times-topology, which is used to study the invariance of various "spaces" under continuous changes. In the 20th century, topology developed into a very important field in mathematics. The size or shape of the graphics studied in topology will change during the movement. In topology, there is no element that cannot be bent, and the size and shape of each figure can be changed. Topology is widely used in 3DSMAX.
In topology, Klein bottle is an undirected topological space. Klein bottle was originally proposed by German geometrician Felix Klein. Structure of Klein bottle: there is a hole in the bottom of the bottle. Now put the bottle neck out and screw it into the bottle, and then connect it with the hole at the bottom. Unlike the cup we usually use to drink water, this object has no "edge" and its surface will not end. Unlike a sphere, a fly can fly directly from the inside of a bottle to the outside without crossing the surface (that is, it has no distinction between inside and outside).
Or it can be said that this bottle won't hold water. Many people think that our universe is a Klein bottle.
Similarly, there is the Panlos Triangle, a typical case of using visual deception to produce impossible three-dimensional buildings. Is one of the impossible objects. It was first created by Swedish artist Oscar Reuters? Rd is made of 1934, which is called "the purest impossible form".
Penrose staircase is a well-known geometric paradox, which refers to a ladder that always goes up or down, but it is infinite. It can be regarded as a variant of Penrose Triangle, and the highest or lowest point can never be found on this ladder.
Such as the scene in Inception, in this magical picture, people have been walking up the steps, but they have been hovering on the same horizontal plane.
You can circle around it forever, but you always climb up again and again and return to its original position! This is because our eyes are confused by pictures and think that such steps exist, and these impossible forms are its visually similar products.