Holy shit

Please fry my brain...how do you turn away from the line???!

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Nope. Particles appear in pairs, then collide with their pair and disappear. It is honestly freaky. Like, subatomic particles appearing in electron-positron or proton and its pair that I can't remeber the name of.

Imagine the tiling is on a wall outside, and goes on for miles.

Now imagine you wanted to take a photo of the tiling.

With squares, or triangles, you could take two different photos of the wall in two different places, but the photos would be identical. You wouldn't be able to tell them apart.

With 'the hat' the two different photos would be different.

In reality, eventually, 'the hat' tiling does repeat, but not anywhere near enough for it to be noticeable.

> tell him that there's also a way to turn away from the number line, and go above or below it.

Only if you totaly change the deffinition of what your numberline is on the way. You can not find i in the natural numbers.

The Lithium cells are rechargeable (typically) or are very specialised single use.

The chemistry of cheap single use cells is based around 1-2V. I'm sure there is some chicken and egg problem where cheap cells could be developed with a higher voltage, but typically higher voltages involve batteries of tried and tested cheap cells.

Think about a bubble of air, exhaled by a diver deep under the ocean. It is compressed by the pressure of the water around it. It starts out small. All the oxygen, nitrogen, and carbon dioxide molecules are close together. But as it rises, the pressure lessens. The bubble gets bigger, and as it does so, the space between individual molecules increases. Nothing fills those spaces between the molecules, it just gets bigger. But the distance between atoms in those molecules does not change.

Our universe is a sort of bubble of space-time, expanding into a higher-dimensional space or a quantum vacuum. Like the atoms in our air molecules, local distances stay the same. But looking further away, we can see that things far away always get further away, wherever we look. This is the expansion of the universe.

Unlike a bubble under water, our universe does not have a edge that can be detected from within it. No matter where you look, it all looks the same. Space-time might be a closed sphere, so that if you travelled in a straight line, you would end up where you started. It could be a torus (like a donut) where you might travel in a straight line and never return to where you started. There are many other curved options for our universe. Some are closed and some are not. We don't know, and we may never know.

You should read Flatland if you haven't.

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Thank you for your explanation. What do you mean by "which bit of the tiling you look at?"

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A highschool physics teacher tried to explain it to us, before sighing and saying we'd see if we pursue education in this field otherwise screw it, with the idea that we measure the position of things as if they're in a grid.

One moment the nearby grid is 1 million blocks wide for the x, y and z axis. The following moment, the grid measures the same things but it's a 1 million and 1 blocks for the x, y and z axis. Some moments later, it's now 1 million and 2 blocks, still for the very same things inside. From our perspective on the inside, it gives an impression of getting further away.

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Fair enough. We would have to look at the many, many other studies that have already been done that prove America is truly a fascist state.

You can think of - like “opposite of add”.

If you owe me $1, you have now -$1 compared to before.

If I do the opposite, now I give you $1 and now you have +$1 compared to before.

There have been studied. The costs to bring those volumes of water to where it's needed make it nigh on impossible.

Particles just appear???? Wait are you sure? Wouldn't that require creating more mass and energy from nothing?

Technically, you can say "Americans think America is fascist" not that it actually is. This is another common error that people make with data - You can only draw conclusions about what you actually measured and for surveys in particular, the way you ask the questions can have a big impact on the results

Asking people what they think is only measuring what they think, not measuring against an objective standard. To answer if America is actually fascist, you'd need to define some measurable parameters for what that means then collect data on those parameters

You absolutely can, but by now it's standardized that A-series batteries (AA, AAA, even AAAA) will put out 1.5 V, same as C and D batteries. It's societal inertia that prevents it, nothing else; why change if it ain't broken?

Button cells, however, commonly work at 3 V, and are standardized at that voltage.

You are correct. The space itself has no energy, no mass, no anything. However, particles sponaneously appear within that nothing.

>You are in infinitely large universe

We don't know that. We have no idea how big the Universe actually is.

If we extrapolate from the observable universe with the angles we can measure it should be at least 2.5 million times as big as the observable universe. At least. With no upper limit.

Or maybe we don't quite understand things as well and it is smaller.

Or maybe it is infinite.

We don't know.

Think of the minus as taking something away and addition as giving something back. If you take something away from the things that are going to be taken away then it is effectively being given back. This is what the double negative is representing

For example:

You have $10 and owe your friend $6 so now you have $4 left. Now, lets say that your friend decides that he'll forgive $2 from the debt. So, the debt is now $4 (6-2 =4).

You can now subtract $4 from $10 and have $6 left over but you can also do this as a single equation:

10 - (6 -2) = 6

The brackets are clarifying it but we don't really need them - you can write it as

10 - 6 - -2 = 6

To summarise: You have $10 (+10), you owe $6 (-6) minus the $2 (--2 = +2) you were forgiven so you have $6 left after you pay your friend back

You can also do this with physical objects as a practical demonstration.

Make a pile of blocks, take some away then take some out of the pile that is being taken away and give them back. The ones you take away are the single negative, the ones you give back again are the double negative

They do, 18650s range between 3 and 4 volts