Seven red perpendicular green lines. Meeting or seven red lines Two parallel lines
Odessa magazine "Fountain", which I have the honor and pleasure to edit, is 20 years old. Over the years we have published stories, poems, miniatures, aphorisms and, and, and ... more than three hundred authors. And not only residents of Odessa, but also writers from different (may my geometry teacher forgive me!) corners of the globe.
And interestingly, he drew my attention to Berezin's story "The Meeting", from which the title for Alexei's first book - "7 Red Lines" was taken. I instantly contacted the author, got permission and put this brilliant story in the issue.
Since then, the author from Tomsk has become a regular contributor to The Fountain, which I never tire of being proud of. And from his first appearance in the magazine, I was confident that we had acquired not only an excellent author, but also famous writer- the author of many books - his stories were written so professionally and inventively.
Over time, it turned out that with all the talent and phenomenal productivity, Alexei Berezin had not yet published almost a single book.
And so we learned that this injustice has finally been corrected and the book is about to be released. Congratulations!..
And Alexei, and future readers.
Here is a fun and smart book. The reader, I am sure, will undoubtedly appreciate the skill of the dialogues, and the ironic intonation, and the paradoxical style, and the confidence of the hand ...
Well, let's say, a few lines from Berezin:
“Yes,” I encouraged him. - If not fresh air then it's not fishing. It's like climbing without mountains.
- No, well, there is industrial mountaineering, - said Seryoga. - Can you climb a nine-story building on a cable?
“No,” I admitted.
- And you, Petrushkin, conquered at least one nine-story building?
Petrushkin shook his head with a cucumber sticking out of it...
Remember: a new wonderful storyteller has appeared in Russian literature. With a strong unique voice.
Which you will not confuse with anyone else ...
Valery Khait, editor-in-chief of the Odessa comic magazine "Fountain"
7 red lines in green
meeting
Petrov came to the meeting on Tuesday. They took out his brain there, put it on saucers and began to eat, smacking his lips and expressing every kind of approval. Petrov's boss, Nedozaytsev, prudently handed out dessert spoons to those present. And it began.
“Colleagues,” says Morkovyeva, head of a friendly company. “Our organization faces a huge challenge. We received a project for implementation, in which it is required to depict several red lines. Are you ready to take on this task?
“Of course,” says Nedozaytsev. He is a director, and is always ready to take on a problem that someone from the team will have to solve. However, he immediately clarifies: – Can we do it?
The head of the drawing department, Sidoryakhin, nods hastily:
- Yes of course. Here is Petrov, he is our best specialist in the field of drawing red lines. We invited him to the meeting to express his competent opinion.
“Very nice,” says Morkovyeva. “Well, you all know me. And this is Lenochka, she is a design specialist in our organization.
Lenochka is covered with paint and smiles embarrassedly. She recently graduated from economics and has the same attitude to design as a platypus to the design of airships.
- So, - continues Morkoveva. We need to draw seven straight red lines. All of them must be strictly perpendicular, and, in addition, some must be drawn in green, and some must be transparent. Do you think it's real?
“No,” says Petrov.
“Let's not rush into an answer, Petrov,” suggests Sidoryahin. “The problem has been set, and it must be solved. You are a professional, Petrov. Don't give us a reason to think you're not a professional.
“You see,” Petrov explains, “the term “red line” implies that the color of the line is red. Drawing a red line in green is not exactly impossible, but very close to impossible ...
- Petrov, what does "impossible" mean? asks Sidoryahin.
“I'm just describing the situation. Maybe there are people who are colorblind for whom the color of the line really won't matter, but I'm not sure if the target audience your project consists exclusively of such people.
So, in principle, is it possible? Do we understand you correctly, Petrov? – asks Morkoveva.
Petrov realizes that he went too far with imagery.
“Let’s put it simply,” he says. - The line, as such, can be drawn in absolutely any color. But to get a red line, you should use only red.
- Petrov, please don't confuse us. You just said it was possible.
Petrov silently curses his talkativeness.
No, you misunderstood me. I just wanted to say that in some extremely rare situations, the color of the line will not matter, but even then - the line will still not be red. You see, it will not be red! She will be green. And you need red.
There is a short silence, in which the quiet, tense buzzing of synapses is clearly audible.
“But what if,” Nedozaytsev says, struck by the idea, “draw them in blue?”
“It won’t work anyway,” Petrov shakes his head. - If you draw in blue, you get blue lines.
Again silence. This time he is interrupted by Petrov himself.
– And I still don’t understand… What did you mean when you talked about lines of transparent color?
Morkovyeva looks at him condescendingly, like a kind teacher at a lagging student.
- Well, how can I explain it to you? .. Petrov, don't you know what "transparent" is?
- And what is the “red line”, I hope you don’t need to explain either?
- No, you don't have to.
- Here you go. You draw red lines for us with a transparent color.
Petrov pauses for a second, considering the situation.
And what should the result look like? Please, please describe. How do you imagine that?
- Well-u-u, Petro-o-ov! Sidorakhin says. - Well, let's not ... What do we have, kindergarten? Who is the red line specialist here, Morkovyeva or you?
“I’m just trying to clear up the details of the task for myself…”
“Well, what’s incomprehensible here? ..” Nedozaytsev interjects into the conversation. Do you know what the red line is?
- Yes, but...
- And what is "transparent", is it clear to you too?
“Of course, but…
"So what do you have to explain?" Petrov, well, let's not stoop to unproductive disputes. The task is set, the task is clear and precise. If you have specific questions, please ask.
“You are a professional,” Sidoryakhin adds.
“All right,” Petrov surrenders. - God be with him, with color. But do you have something else with perpendicularity there? ..
“Yes,” Morkovyeva readily confirms. “Seven lines, all strictly perpendicular.
- Perpendicular to what? - specifies Petrov.
Morkovyeva starts looking through her papers.
“Uh-uh,” she finally says. - Well, as it were ... Everything. Between themselves. Well, or whatever… I don't know. I thought it was you who knew what perpendicular lines were - finally she was found.
“Yes, of course he knows,” Sidoryakhin waves his hands. Are we professional or not?
“Two lines can be perpendicular,” Petrov explains patiently. “All seven cannot be perpendicular to each other at the same time. It's geometry, sixth grade.
To clarify the condition of the problem, I found the original text. The author turned out to be someone Alexei Berezin, a blogger. Everything would be fine, but there is one subtlety. There is one passage in the original text that clearly indicates the author's intent:
“Two lines can be perpendicular,” Petrov explains patiently. - All seven cannot be perpendicular to each other at the same time. This is geometry, 6th grade.
That is, it was supposed to be seven straight lines, but the author used the word "line". On purpose or through thoughtlessness, now it doesn’t matter anymore, the task has lost most of the pathos and inadequacy. It would be forgivable if it were a clumsy translation from English, where line means both "line" and "straight". The line may or may not be straight. But what's done is done.
And this gave rise to many formally correct, but ugly decisions.
I’ll just put a screenshot of the search engine results for the query “seven red lines”. As you can see, the creative quality is not the highest.
We define TK as:
1. Seven straight red lines.
2. All these straight lines are mutually perpendicular
3. These two lines are green.
4. Three are transparent.
5. One of the straight lines in the shape of a cat (any).
I confess that my first thought was to use Lobachevsky's geometry. There are many such solutions. Here, look at what beautiful Scott Williamson offers on a looped tape.
And although he uses red paper in his solution, there are still questions about green red. And with transparent red there, too, not everything is as clear as we would like.
In the world familiar to us, only three mutually perpendicular straight lines can be drawn. We need to come up with something that will allow us to hold four more. An obvious assumption would be that it is not necessary to be limited to three dimensions, more can be used. For example, seven. Then in the seven-dimensional space the problem has a simple solution.
A little more difficult with the green color of the red lines. To do this, they must approach the observer with a certain speed sufficient for the occurrence of the Doppler effect. A few formulas...
Let's take a simplified formula for speeds much less than the speed of light, we only need to estimate the order of magnitude.
v=cz
where z is the coefficient calculated by the formula
z = (λ - λ°) / λ
where λ is the wavelength of the visible color, λ° is the wavelength of the original color.
Red will have a wavelength of approximately 700 nm.
Green respectively 500 nm.
It turns out that the speed of approach will be approximately 0.3 of the speed of light. Theoretically quite possible speed. Everything is fine here...
Further assumptions become more. For the next three measurements, in which red (straight) lines are drawn, we assume that they do not interact with electromagnetic radiation in any way. Accordingly, straight red lines in them will be invisible (transparent).
And the most important thing! Let one of the dimensions, which does not interact with electromagnetic radiation in any way, be projected into our three-dimensional world and its projection takes the form of a cat. But, since it is invisible, the cat is also invisible. By analogy with Schrodinger's cat, I propose to call him Morkoveva's cat.
Finally, I would like to arrange all of the above in the form of a continuation of the same story:
“Remembering the last meeting, Petrov has been preparing for this for a long time. For every question and every objection, he now has something to say.
- Colleagues, - Petrov looks at those gathered at the table, smiles and adjusts his glasses, - the task was close to unsolvable, almost on the very border with the impossible.
Nedozaytsev looks at him with enthusiasm, Morkovyeva looks at him skeptically, and Lenochka tries to understand why she is here again. Sidoryahin is absent due to illness.
But I managed to solve it! - says Petrov and looks victorious. The fire of madness shines in his eyes.
Lenochka suddenly hiccups and is cutely embarrassed.
Here! - Petrov solemnly shows the image.
Everyone is watching.
But why are there only two? - Morkovyeva is surprised, - it must be ...
- No! - Petrov objects, - there are seven of them, in full accordance with your terms of reference.
- With which? - Morkovyeva flips through the papers, it is clear that she no longer remembers exactly what happened with the assignment.
- With yours, - Petrov smiles, - seven red straight lines perpendicular to each other, two red, two green, three transparent and one in the form of a cat.
- Kotika, yes, - Lenochka smiles. She is pleased that her fantasy was remembered.
Nedozaytsev looks in surprise from the image to Morkoveva and back.
- The problem has a rigorous solution only in multidimensional ... - Petrov begins.
- I don't understand, - Nedozaytsev can't stand it, - but why are there two of them?
- Let's ask questions later, - says Petrov, - if you have any left, you can ask them at the end.
- Yes, perhaps, - agrees Nedozaytsev. It is obvious that he is not happy.
- What you see is the projection of the solution of this problem in the seven-dimensional space onto the two-dimensional one. Just those same two red straight lines that should be red.
- Fine, - says Nedozaytsev, - but where are the others?
- The rest, - says Petrov, looking into the notebook, - I had to draw in dimensions that do not belong to our space and may not always be in it even in the form of a projection, for example, those two red lines that are constantly approaching us at a speed equal to approximately 0 .3 the speed of light.
Morkoveva's eyes begin to converge to the bridge of her nose. Nedozaytsev looks around fearfully in search of approaching lines and spaces, he shudders.
- For us, these red lines will look green, - says Petrov, - but imagine what will happen to our space when these measurements get here?
- No need to escalate, - Nedozaytsev shudders. He wants to say something else, but can't find it.
- Further, everything is simple, - says Petrov, - the next three red lines are drawn in measurements that do not interact with electromagnetic radiation in any way. Therefore, we cannot see them, they are absolutely transparent to us.
- And that is not all! - Petrov winks at Lenochka, one of these dimensions projecting into our dimension takes the form of a cat. We can't see it though, so it's... yes, it's a cat shape idea, a perfect implementation of a cat shape.
Lenochka smiles shyly.
- Ask questions, - says Petrov.
Nedozaytsev looks perplexedly from Morkoveva to Lenochka and back. Morkoveva's eyes converged to the bridge of her nose, Lenochka smiles embarrassedly.
“If there are no questions, then I’m done,” Petrov nods slightly.
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Petrov came to the meeting on Tuesday. They took out his brain there, put it on saucers and began to eat, smacking his lips and generally expressing all kinds of approval. Petrov's boss, Nedozaytsev, prudently handed out dessert spoons to those present. And it started.
Colleagues, - says Morkovyeva, - our organization faces a large-scale task. We received a project for implementation, within which we need to draw several red lines. Are you ready to take on this task?
Of course, - says Nedozaytsev. He is a director, and is always ready to take on a problem that someone from the team will have to bear. However, he immediately clarifies: - We can do it?
The head of the drawing department, Sidoryakhin, nods hastily:
Yes, of course. Here we have Petrov, he is our best specialist in the field of drawing red lines. We specially invited him to the meeting so that he expressed his competent opinion.
Very nice, - says Morkoveva. - Well, you all know me. And this is Lenochka, she is a design specialist in our organization.
Lenochka is covered with paint and smiles embarrassedly. She recently graduated from economics, and has the same attitude to design as a platypus to the design of airships.
So, - says Morkoveva. - We need to draw seven red lines. All of them must be strictly perpendicular, and in addition, some need to be drawn in green, and some more - transparent. Do you think this is real?
No, says Petrov.
Let's not rush to answer, Petrov, - says Sidoryakhin. - The task has been set, and it needs to be solved. You are a professional, Petrov. Don't give us a reason to think that you are not a professional.
You see, - explains Petrov, - the term "red line" implies that the color of the line is red. Drawing a red line in green is not impossible, but very close to impossible ...
Petrov, what does "impossible" mean? - asks Sidoryahin.
I'm just describing the situation. Perhaps there are colorblind people for whom the color of the line really will not matter, but I'm not sure that the target audience of your project consists exclusively of such people.
That is, in principle, it is possible, do we understand you correctly, Petrov? - asks Morkovyeva.
Petrov realizes that he went too far with imagery.
Let's put it simply, he says. - The line, as such, can be drawn in absolutely any color. But to get a red line, you should use only red.
Petrov, please don't confuse us. You just said it was possible.
Petrov silently curses his talkativeness.
No, you misunderstood me. I just wanted to say that in some extremely rare situations, the color of the line will not matter, but even then - the line will still not be red. You see, it will not be red! She will be green. And you need red.
There is a short silence, in which the quiet, tense buzzing of synapses is clearly audible.
And what if, - inspired by the idea, says Nedozaytsev, - draw them in blue?
It won't work anyway, - Petrov shakes his head. - If you draw in blue, you will get blue lines.
Again silence. This time he is interrupted by Petrov himself.
And I still don't understand... What did you mean when you talked about transparent color lines?
Morkovyeva looks at him condescendingly, like a kind teacher at a lagging student.
Well, how can I explain to you? .. Petrov, don't you know what "transparent" is?
And what is the "red line", I hope you don't need to explain either?
No, don't.
Here you go. You draw red lines for us with a transparent color.
Petrov freezes for a second, considering the situation.
And how should the result look like, please, describe please? How do you imagine it?
Well-u-u, Petro-o-ov! - says Sidoryahin. - Well, let's not ... Do we have a kindergarten? Who is the red line specialist here, Morkovyeva or you?
I'm just trying to clarify the details of the task for myself ...
Well, what’s incomprehensible here? .. - Nedozaytsev intervenes in the conversation. - Do you know what the red line is?
And what is "transparent", is it clear to you too?
Of course, but...
So what do you have to explain? Petrov, well, let's not stoop to unproductive disputes. The task has been set, the task is clear and precise. If you have specific questions, then ask.
You are a professional, - adds Sidoryahin.
Okay, - surrenders Petrov. - God be with him, with the color. But do you have something else with perpendicularity? ..
Yes, - readily confirms Morkovyeva. - Seven lines, all strictly perpendicular.
Perpendicular to what? - specifies Petrov.
Morkovyeva starts looking through her papers.
Uh-uh, she finally says. - Well, sort of... Everything. Between themselves. Well, or whatever... I don't know. I thought you know what perpendicular lines are - finally she is.
Yes, of course he knows, - Sidoryakhin waves his hands. - Are we professionals here, or are we not professionals? ..
Two lines can be perpendicular, - Petrov patiently explains. - All seven cannot be perpendicular to each other at the same time. This is geometry, 6th grade.
Morkovyeva shakes her head, driving away the looming ghost of a long-forgotten school education. Nedozaytsev slams his palm on the table:
Petrov, let's do without this: "6th grade, 6th grade." Let's be mutually polite. Let's not make hints and slide into insults. Let's have a constructive dialogue. It's not idiots gathered here.
I also think so, - says Sidoryakhin.
Petrov moves a piece of paper towards him.
Okay, he says. - Let me draw for you. Here is the line. So?
Morkovyeva nods her head in the affirmative.
We draw another ... - says Petrov. - Is it perpendicular to the first one?
Yes, it is perpendicular.
Well, you see! - joyfully exclaims Morkovyeva.
Wait, that's not all. Now draw the third one... Is it perpendicular to the first line?..
Thoughtful silence. Without waiting for an answer, Petrov answers himself:
Yes, it is perpendicular to the first line. But it does not intersect with the second line. They are parallel with the second line.
Silence comes. Then Morkovyeva gets up from her seat and, rounding the table, enters Petrov from behind, looking over his shoulder.
Well ... - she says uncertainly. - Probably, yes.
That's the point, - says Petrov, trying to consolidate the success achieved. - As long as there are two lines, they can be perpendicular. As soon as there are more of them ...
Can I have a pen? - asks Morkoviev.
Petrov hands over the pen. Morkovyeva carefully draws a few uncertain lines.
And if so?..
Petrov sighs.
This is called a triangle. No, these are not perpendicular lines. Besides, there are three of them, not seven.
Morkoveva purses her lips.
Why are they blue? - suddenly asks Nedozaytsev.
Yes, by the way, - supports Sidoryahin. - Sam wanted to ask.
Petrov blinks several times, looking at the drawing.
My pen is blue, he finally says. - I'm just to demonstrate...
It will turn out the same, - Petrov says confidently.
Well, how is it the same? - says Nedozaytsev. - How can you be sure if you haven't even tried? You draw red ones, and we'll see.
I don’t have a red pen with me,” Petrov admits. But I can totally...
Why didn’t you prepare, ”Sidoryakhin says reproachfully. - They knew that there would be a meeting ...
I can absolutely tell you for sure, - Petrov says in despair, - that exactly the same thing will turn out in red.
You yourself told us last time, - retorts Sidoryahin, - that you need to draw red lines in red. Here, I even wrote it down for myself. And draw them yourself with a blue pen. What are these, red lines in your opinion?
By the way, yes, - notices Nedozaytsev. - I also asked you about Blue colour. What did you answer me?
Petrov is suddenly rescued by Lenochka, who studies his drawing with interest from her seat.
I think I understand, she says. - You are not talking about color now, are you? This is about this one, what do you call it? Perper-something-there?
The perpendicularity of the lines, yes, - Petrov responds gratefully. - It has nothing to do with the color of the lines.
That's it, you completely confused me, - says Nedozaytsev, looking from one participant in the meeting to another. - So what's the problem with us? With color or with perpendicularity?
Morkovyeva makes confused sounds and shakes her head. She also got confused.
Both with that, and with another, - quietly speaks Petrov.
I can’t understand anything, - says Nedozaytsev, looking at his fingers clasped in the castle. - Here is a task. All you need is seven red lines. I understand that there would be twenty of them! .. But there are only seven. The task is simple. Our customers want seven perpendicular lines. Right?
Morkoveva nods.
And Sidoryahin also sees no problem, - says Nedozaytsev. - Am I right, Sidoryahin? .. Well. So what is stopping us from completing the task?
Geometry, - Petrov says with a sigh.
Well, you just don't pay attention to her, that's all! - says Morkoveva.
Petrov is silent, collecting his thoughts. In his brain, colorful metaphors are born one after another that would make it possible to convey to those around him the surrealism of what is happening, but as luck would have it, all of them, clothed in words, invariably begin with the word "Fuck!", Completely inappropriate within the framework of a business conversation.
Tired of waiting for an answer, Nedozaytsev says:
Petrov, you answer simply - can you do it or can't you? I understand that you are a narrow specialist and do not see the big picture. But it's not difficult - to draw some seven lines? We've been discussing some nonsense for two hours now, we can't come to a decision.
Yes, says Sidoryahin. - You just criticize and say: "Impossible! Impossible!" You offer us your solution to the problem! And then a fool can criticize, pardon the expression. You are a professional!
Petrov wearily says:
Fine. Let me draw you two guaranteed perpendicular red lines, and the rest in transparent color. They will be transparent and not visible, but I will draw them. Will that suit you?
Will it suit us? - Morkoveva turns to Lenochka. - Yes, it will suit us.
Only at least a couple more - in green, - Lenochka adds. - And I also have such a question, can I?
Can one line be drawn as a kitten?
Petrov is silent for a few seconds, and then asks again:
Well, in the form of a kitten. Kitten. Our users love animals. It would be great…
No, says Petrov.
And why?
No, of course I can draw a cat for you. I'm not an artist, but I can try. Only it will no longer be a line. It will be a cat. The line and the cat are different things.
Kitten, - specifies Morkovyeva. - Not a cat, but a kitten, so small, cute. Cats they...
It doesn't matter, - Petrov shakes his head.
Not at all, right? .. - Lenochka asks disappointedly.
Petrov, you should at least listen to the end, - Nedozaytsev says irritably. - You didn’t listen to the end, but you already say “No”.
I understood the idea, - without looking up from the table, says Petrov. - It is impossible to draw a line in the form of a kitten.
Well, it’s not necessary then, - Lenochka allows. - A bird, too, will not work?
Petrov silently looks up at her and Lenochka understands everything.
Well, it’s not necessary then, - she repeats again.
Nedozaytsev slams his palm on the table.
So where did we stop? What are we doing?
Seven red lines, says Morkovyeva. - Two in red, and two in green, and the rest in transparent. Yes? Did I understand correctly?
Yes, Sidoryahin confirms before Petrov can open his mouth.
Nedozaytsev nods in satisfaction.
That's great ... Well, then, that's it, colleagues? .. Disperse? .. Any more questions? ..
Oh, - Lenochka remembers. - We still have a red balloon! Tell me, can you inflate it?
Yes, by the way, - says Morkovyeva. - Let's also discuss this right away so that we don't get together twice.
Petrov, - Nedozaytsev turns to Petrov. - Can we do it?
And what does the ball have to do with me? - Petrov asks in surprise.
It is red, - Lenochka explains.
Petrov is stupidly silent, trembling with the tips of his fingers.
Petrov,” Nedozaytsev nervously asks. - So you can or can't? It's a simple question.
Well, - Petrov says carefully, - in principle, of course, I can, but ...
Good, - Nedozaytsev nods. - Go to them, inflate. Travel allowances, if necessary, we will write out.
Is it possible tomorrow? - asks Morkovyeva.
Of course, - Nedozaytsev answers. - I think there will be no problems ... Well, now we have everything? .. Excellent. We worked productively ... Thank you all and goodbye!
Petrov blinks several times to return to objective reality, then gets up and slowly walks towards the exit. At the very exit, Lenochka catches up with him.
Can I ask you more? - blushing, says Lenochka. - When will you inflate the balloon ... Can you inflate it in the form of a kitten? ..
Petrov sighs.
I can do anything, he says. I'm a professional.
At the end of the working day, Petrov sat at his desk and wrote on a piece of paper. "Fuck you all on ***" wrote Petrov, thought and crumpled the paper and threw it into the trash. On a fresh sheet, he brought out a new sentence: "How do you all zae me" - the second sheet followed the first. On the third sheet, he finally brought out: "Application. Please grant me another vacation." Suddenly the phone rang. The inscription "100 Chipmunks" flashed on the device. Of course, it wasn't 100 chipmunks who called, it's just that the boss, named Chipmunks, had a specially allocated number 100 for mini-ATS. The boss said that in the morning he was waiting for him at a very important meeting.
In the morning, Petrov went to the meeting with a heavy heart, imagining how his brain would be taken out, laid out on plates and eaten, smacking his lips and munching loudly. Petrov's boss probably prudently handed out dessert spoons to those present. The meeting has begun.
The first to speak was Emma Genrikhovna, head of the customer service department. Emma Genrikhovna was a fat lady of unpleasant appearance. Evil tongues called her terrible. As confirmation, a sign "Head of the ORC" hung on her door.
Which are not only universal projects equipped with different methods for the development of society, but also methods for solving various kinds of creative problems. "Seven Red Lines" is one of such non-trivial tasks. We look at the game statement of the problem:)
In the feature film you watched, the “red lines expert” stands in the traditional positions of Modern. Positions of European science in the 19th and first half of the 20th century. He operates with the concepts of "geometry", "truth", "contradictory judgments", "rules", "straight line". The expert is baffled by the customer. Obviously, seeing it through the lens of traditional scientific judgments, he considers it stupid fool. Exactly the same level of stupidity as a designer asking him to inflate a red kitten balloon.
The expert is not able to solve this problem, except by deceiving the customer. He took advantage of the low-quality identity of the concepts of “transparency of lines” and “absence of lines” to simplify the problem to a trivial solution. But most likely this number will not work for him, since the customer asked him to draw, in addition to five transparent lines and two red perpendicular ones, also two green lines that are perceived as red.
Thus, the video raises the question not about the stupidity of the customer. After all, the customer, as you know, is “always right” because he pays the money! The video raises the question of the adequacy of the position of the "expert on the red lines".
After all, even the name itself - "expert on the red lines" speaks of a terribly increasing specialization of sciences, of the danger of destroying the very building of science in the trend of this catastrophic specialization.
What can an expert offer and what is not suitable for solving a problem?
- Definition of perpendicularity of lines in classical geometry
- The impossibility of the existence of more than two mutually perpendicular lines in the plane.
- Independence of the concept of color from the concept of line shape
- The qualitative difference between straight lines and curved lines and closed lines forming a figure (kitten, bird and triangle)
- Understanding that he, his boss and customer stand on the same positions of Modernity, science. That if they say stupid things, then this is only from the weakness of their intellect and ignorance and nothing more.
Regarding the wrongness of the "red line expert" in the fifth paragraph, I quote the customer's phrase: "Ignore the geometry!" The statement shows that both the customer and the bosses are in positions other than Modern. They are waiting for the “red lines expert” to start solving the problem while standing in this position. For this position, the first four points, approved by the expert, are completely unimportant.
So what is this position. Postmodern! One of the features of postmodernity:« Postmodernism professes radical eclecticism, striving to connect the incompatible, to unite facts on the principle of association, and not on the principle of logical consequence»
Postmodernism, here, there is a project method community development, Postmodern. The customer requires to connect the unconnectable green color with red, red with "transparent", a straight line with a figure, multiple mutual perpendicularity with a two-dimensional plane. This is a Challenge, in response to which, from the standpoint of classical science, the expert "crumbles".
The video caused a huge response in the network and a lot of proposed solutions.
The solution associated with the mutation of Science itself, Modern, involves a transition to a multidimensional dimension, maybe. using non-classical geometry and then projecting all this economy onto a trivial plane. The complexity of this solution is that it is possible to recognize its adequacy only by understanding what the multidimensionality of space is, what Lobachevsky's geometry is. And there may be fewer such people than color blind people. In any case, this is not the target audience of the customer! However, I will quote this solution:
Option “According to Lobachevsky in the pipe”
This problem can be solved not only on the plane. but also with the help of Lobachevsky geometry.
You can fill the space with regular squares, you can solve on a sphere.Option “According to Lobachevsky in the pipe” fig. 1
To make it clearer, let's rotate the ball a little.
And if we combine a sphere and a pipe, then we can draw an almost infinite number of perpendicular red lines in green.
The main problem of this method is the need to involve specialists in the field of higher mathematics, the use of non-Euclidean geometries, possibly Finsler geometry.
In fact, this method requires serious work in the field of client education. It may take 5-6 years for him to understand what was done for him.
Some mathematical abstractions will simply be impossible to depict. IN best case this will require a rather labor-intensive production of an experimental model.
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Option "Brain Explosion"
The fact is that the customer in the TERMS OF REFERENCE did not say that he needed a solution in the Euclidean space.
Therefore, the solution may lie in a non-Euclidean 7-dimensional space.
The variant is similar to "Lobachevsky in the pipe", but here there is more higher mathematics and mathematical abstraction can be depicted only schematically.
If the customer insists on a simple accessible drawing, you need to ask him to provide 7-dimensional sheets of paper and colored pencils for this.
A comment: A pure example of mutating Science in collusion with business. The customer cannot provide seven-dimensional pieces of paper. That is, it is a theoretical model that does not have experimental confirmation, which destroys the foundation of classical science. Postmodern is the killer of Science and Modernity.
In addition to the mutating Modern, there are solutions within the framework of the Postmodern, which “connects the incompatible” and implies the total “death of the author” of any text. These are the solutions:
Option "Children's casuistry"
“Perpendicular to what? - clarifies the "expert on the red lines."
Morkovyeva starts looking through her papers.
"Uh-uh," she finally says. - Well, sort of ... Everything. Between themselves. Well, or whatever… I don't know. I thought you knew what perpendicular lines are - finally she is.
Here is the key mistake. In the original TERMS OF REFERENCE, nothing was said about the mutual perpendicularity of all lines.
And it is not necessary.
Thus, we draw one line and 6 perpendicular to it.
Color problem. How to draw green red line or transparent?
Have you ever heard the term "Dotted line" - here is your solution.
Two dotted lines will show they are green and two will show they are transparent.
The main problem of this option is if the customer specifies that the lines should all be MUTUALLY perpendicular to each other. Then you're covered.
Although you can try to negotiate - maybe. the customer will agree that all lines will be perpendicular in pairs, even 50/50 is possible. Half will be perpendicular to each other and half will be parallel.
You can also try to make the part not parallel to each other (but then the amount of perpendicularity, alas, will also decrease).
A comment:
The principle of "connect the unconnectable" is realized in dotted line, and of poor quality, if you do not specifically interpret the author of the TERMS OF REFERENCE. That is, to actually carry out the "murder of the author of the text." Special interpretation text - this is the absence in the TERMS OF REFERENCE of the requirement of complete mutual perpendicularity. And this is not an opportunity to clarify the text from the author, but an opportunity to “cut down profits” while convincing the customer, the author of the TERMS OF REFERENCE, that their task was set that way.
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Option "Naked King"
This is the more obvious option. Draw two red perpendicular lines. The rest are drawn with a transparent color (and green red lines too).
The main problem with this option is that the customer can change the TERMS OF REFERENCE and ask to make all the lines opaque. Then you're covered.
A comment:
The principle of "killing the author of the text" is implemented in the manipulation of the fuzziness of the area of application of the transparency of the lines. From fuzziness we make a clear interpretation, naturally for the trivial execution of the order and receiving money for the execution of the order.
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Option " White square"expert on red lines"a"
The essence of this option is that the line is actually long without width. Therefore, you draw ALL lines with ZERO width (both red and green and transparent).
The main problem with this option is that the customer may ask you to draw lines with a width different from zero. Then you're covered.
A comment: The principle of "killing the author of the text" is realized in the manipulation of the fuzziness of the range of values of the concept of the line. Here the notion of "width of lines" is under attack. From fuzziness we make a voiced coin.
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The fact is that the “red lines expert” is wrong. Three straight lines can be perpendicular - in space. But in a certain plane, other lines will also be perpendicular.
Roughly speaking, we will get two triplets of mutually perpendicular lines and one more line, which may also be perpendicular to something.
For an unpretentious customer, this option is an excellent solution to his problem.
