Bright Sword starts with the grenade flat.

Chapter 519: Understanding of Spatial Latitude
Kainaer naturally couldn't make the decision on Liu Xiu's request, so she immediately shouted to Kane:

"Kane, Liu Xiu's rescue team has arrived, and I told him that there is no need for rescue, as we have already rescued ourselves, so he asked if he could take a look at the space stone!"

When Kane heard what Kenar said, he was stunned at first, and then the toilet was immediately snatched away by Millie, allowing Millie to successfully enter the toilet and close the door.

When Kane saw this situation, he immediately agreed:
"No problem, but I have one request, and that is to let me go to the toilet!"

Naturally, this request was conveyed to Liu Xiu by Kainar. Liu Xiu readily agreed to Kane's request.

The next step was naturally for the two ships to dock. After the docking was completed, Kane immediately ran over and asked Liu Xiu:

"Where is the toilet on your spaceship?"

There was no way. Kane had already wanted to go to the toilet before the space stone happened, and then he was delayed for more than an hour by the space stone. Naturally, Kane's urge to urinate became stronger, so he was so impatient.

After Liu Xiu asked Lina to take Kane to the toilet, he asked Kaner:
"Where is the space stone that was destroyed by Kane!"

When Kainaer heard Liu Xiu's question, she immediately took out a bag and said:

"Na! All the fragments of the space stone are in here! Be careful when researching it, and never research it on the spaceship! Although it has been destroyed and lost its power now!"

In response, Li Xu nodded to show that he understood, and then carefully took the bag from Kaina's hand.

While Liu Xiu and Kaina were talking, Lina had already come back with Kane, who looked relaxed. When Kane saw Liu Xiu, he said with a serious expression:

"By the way, Liu Xiu, I received a mission before, and in the mission I got some information about the Nightmare Organization! Na is indeed a very scary and huge organization!"

Liu Xiu knows the entire plot line of the Lost Universe anime very well, and now Liu Xiu is waiting for the devil organization or Caesar Group and the mastermind behind it, Dark Star, to take action!

Therefore, Liu Xiu nodded to Kane's words:
"So you have to investigate carefully. It would be best if you can find out where the real base of the demon organization is. Only then can we take action! Go ahead and do it boldly! I will be here to support you at any time as long as you call me!"

After talking with Kane for a few words, Liu Xiu parted ways with Kane. Kane continued to look for things about the Nightmare Organization, while Liu Xiu was impatient to take the fragments of the space stone back for research!
Of course, Liu Xiu didn't dare to put this thing on the Wandering Blue Star for research, but fortunately, the Wandering Blue Star already had mature methods for this kind of dangerous scientific research.

That is to use remote-controlled robots to study this kind of thing, just like when we studied the Blackwater virus and the Zerg.

Through quantum communication and the support of holographic display technology, researchers can use remote-controlled robots just like their own bodies.

So, after Liu Xiu brought back the fragment, a scientific research spacecraft immediately took off from the wandering blue star. After flying for dozens of light years, it stopped in a star system with no life planet.

Then, naturally, the high-efficiency solar photovoltaic panels on the scientific research spacecraft were turned on to absorb solar energy to provide the energy consumed by the scientific research spacecraft for scientific research. However, after in-depth research on the technological weapons of this prehistoric civilization, it was discovered that this space stone or space weapon actually has something to do with latitude.

When talking about dimensions, we have to mention the Möbius strip and Klein bottle.

Of course, in the three-dimensional world, it is possible to create a Möbius strip, but it is impossible to create a Klein bottle.

The reason for this is that the Möbius strip is a process of upgrading from two dimensions to three dimensions, so it is naturally possible to see it clearly in three dimensions, but the Klein bottle cannot be made. This is mainly because humans are in three dimensions, not four dimensions, and the Klein bottle itself is a four-dimensional product.

Usually, the concept of a container is that there is an inside and an outside. For example, a cup has an outer shell that can hold water. But the Klein bottle subverts this idea. This object has no edges and its surface does not end. Unlike a sphere, a fly can fly directly from the inside of the bottle to the outside without passing through the surface. What's more interesting is that if you cut the Klein bottle along its symmetry line, you will get two Möbius strips.

Although there are Klein bottles for sale in shopping malls, where you can see the materialized Klein bottles, this is not its true form.

You should know that the real Klein bottle has no "inside" and "outside". In addition, the bottleneck inserted into the bottle body in three dimensions does not actually "intersect" in this way in the topological diagram. To be precise, the bottleneck is connected to the bottom of the bottle through the fourth dimension.

On the surface, both the Möbius strip and the Klein bottle are things created by people using magical geometry. But in essence, the dimensions involved in the two are very different.

If the Möbius strip represents the leap from two dimensions to three dimensions, then the Klein bottle represents the leap from three dimensions to four dimensions.

Compared to the four-dimensional space, humans are low-dimensional creatures. Therefore, in the cognitive field of three-dimensional creatures, there are only length, width and height. Even if other higher spatial structures really exist, we cannot see them.

So the real reason why humans cannot create Klein bottles is that dimensions are difficult to cross.

To understand the Klein bottle, you need to know some basic knowledge of topology. Topology is the study of the properties of geometric shapes under continuous deformation. It does not care about the specific measurement of the shape, but whether certain features of the shape remain unchanged under deformation.

The Klein bottle is also a classic example in topology because it exhibits a special property, namely the continuity of the surface. In topology, the Klein bottle is called a compact non-oriented surface. This means that it can be regarded as a closed surface and has no concept of direction.

However, if the Klein bottle is a container created by a four-dimensional creature, what will happen if water is poured into it? This question actually involves the topological properties of the Klein bottle. Although it is conceivable that water can fill the Klein bottle, this is actually impossible.

Imagine that if you pour water into a point of the Klein bottle, the water will flow along the surface. However, since the surface of the Klein bottle is continuous, the water will keep flowing until it fills the entire surface. However, due to the non-directional nature of the Klein bottle, we cannot determine which part is the top and which part is the bottom, so the water will continue to flow and will never be filled.

This example illustrates an important concept in topology, that certain properties of a shape are invariant under continuous deformation. Even if we distort space, certain properties still exist.

The space stone that Kane and his team got is actually based on a similar principle. It seems that the space stone has changed all the spaces on the spacecraft.

But in reality, only staggered teleportation points were added at the entrances of each cabin.

(End of this chapter)