Chapter 176

The silence of Cheng Yi's eyes is just staring at the teacher's right hand.

4:0！

Their island team, now, they have no way out.

The last game, the island team must win.

Otherwise, he will be abused by the Chinese team 5:0!

Once this happens, they will lose face.

As captain of the island team, Hayao Hirano may be OK for the time being. But once back home, I will be forced to film every day.

This is not the life Hirano wants. He has been tired of filming life, indulged in learning, unable to extricate himself!

"Mr. pingye, come on! Defeat the great demon of China All the island audiences were shouting in their hearts.

Hirano fayo, is the island sent to participate in the six players, the strongest one. Therefore, the audience in the island also place great hopes on him.

They know that Hirano fayo's opponent is Cheng Nuo, the hexagon fighter!

But still They have great confidence in Hirano's strength.

"Let's take a look at the two contestants' challenge."

Mr. Jiang motioned for everyone to look at the big screen.

On the big screen, the screen flashed, and the five characters "Tyson polygon" slowly emerged from the screen.

That's right. The name of the project that Cheng Nuo and keno are challenging is called "Tyson polygon"!

Tyson polygon, a climatologist A. h. Thiessen, proposed a method to calculate the average rainfall according to the rainfall of discrete weather stations.

It's not that hard to build it.

In short, firstly, a discrete point is selected as the target point, and then the discrete point is connected with the surrounding discrete points to form one triangle after another to form a triangular network.

Let the discrete point be o. Find out a triangle with o as its vertex and set it as a; take another vertex of triangle a other than O and set it as a, then another vertex can also be found, that is, f; then the next triangle must have an edge of of of, that is, triangle f; if the other vertex of triangle f is e, then the next triangle has OE as its edge; repeat this until returning to OA edge.

The center of circumscribed circle of each triangle with the discrete point as the fixed point is calculated and connected.

In this way, the triangle formed is called Tyson polygon. If expressed by formula, it is √∑ (si-s) ^ 2n, (n = 1, 2, 3,...)

Take chestnuts ~ ~

the water cube in Kyoto is designed according to the principle of Tyson polygon.

The rules for the two players are as follows.

Two spheres, each with 5000 discrete points.

Every sphere has 5000 discrete points, and every discrete point can form a Tyson polygon, which is 5000 Tyson polygons in total.

Another sphere, also 5000 Tyson polygons.

In the total of 10000 Tyson polygons, there are only two Tyson polygons, exactly the same!

What the players need to do is to find out the two identical Tyson polygons in the shortest time and press the responder!

One point is added for correct answer and one point is added for wrong answer.

There are three games in all, and the first two points win.

This challenge project, at first glance, seems very simple. It is the upgrade version of "find different" that we usually play. Find the same

However, in fact, this challenge is the most difficult one in the five matches between China and Taiwan today!

The comprehensive strength of the players is a great consideration.

Calculation, memory, space, reasoning, creativity, observation, six abilities are indispensable.

The player doesn't know where any of the two discrete points that make up the same Tyson polygon is.

In other words, they need to try one by one.

One sphere is randomly selected from two spheres full of discrete points. Observe 5000 discrete points on it.

Through observation and calculation, the player deduces the Tyson polygon corresponding to a discrete point.

The number of triangles formed by connecting each discrete point with the surrounding discrete points is different. In a simple way, there may be three triangles. In this way, you only need to connect the centers of the three circumscribed circles corresponding to the three triangles to form a Tyson polygon.

Complex, tin may have five or six triangles. In the case that you can't use pen and paper and only rely on the brain to calculate, it's easy to get confused.

Remember that the shape of the polygon that Tyson will need most of all. Compared with 5000 Tyson polygons on another sphere.

If you want to find the answer, the two players need to judge 5000 * 50000, a total of 25000000 times!Terror! It's horrible!

I'm afraid we can't do it in a short time with a computer.

…………

The rules are over.

The audience in the audience, when you look at me and I look at you, are all confused.

Discrete point, triangulation, circumcircle

A series of mathematical terms stunned the audience.

And that Tyson polygon, just listen to the name, is slowly forced grid!

Unfortunately

Although on the big screen, even with images and text explanation for a long time, they still Do not understand.

Well, we should not understand the topic of big brother.

Once again, their own birth rises in their hearts, just to make up for the human feeling.

On the stage, when people in the audience are still doubting their lives, Cheng Nuo and fayo are already sitting in their own challenge chair.

On the desktop in front of both, there is a small screen.

On the left and right sides of the screen, there is a sphere about 34 screen height in diameter.

It's just that the two spheres at this time are gray, and 10000 discrete points have not yet covered them.

"Next, please randomly generate 10000 discrete points in the background."

After teacher Jiang's voice dropped, the two spheres on the screen in front of Cheng Nuo and fayo Yeo began to twinkle with stars. Like stars in the dark.

At first, it was just a little bit of star awn, but gradually, 10000 white light spots covered the two spheres almost completely.

WOW!

Dense, very dense!

Originally, the area of the sphere is not big. When 5000 discrete points are marked, the sphere is almost completely covered by discrete points when viewed from a distance. It's a huge area.

Everyone instantly, scalp numb!

This is definitely the biggest torment for people with intense phobia.

"I declare, challenge, go!"

Mr. Jiang raised the volume, said this sentence, and then pressed the timer under his hand.

Timing Let's go!

Cheng Nuo and Nomo fayo immediately look at the screen.

In the last match between China and Taiwan, who will take the lead in completing the first question? The result will be announced immediately

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