It`s done with a little editing by the maker of the video. When the pieces are rearranged normally, you would see a very narrow strip between the two triangles that is uncovered. The area of that strip is equal to 1 square, the supposedly missing square.

Here, they tried to cover it up by thickening the hypotenuses of the triangles after they have been flipped. If you look closely, you will see that they are thicker and darker than before.

So 64 = 64. Math wins and cheaters never get ahead.

FAIL changing the perimeter changes the area inside. this is like the one where they have the "missing" piece when a puzzle was rearranged. all it is are the angles of the shapes and where they are placed.

Similar to the last one, there`s a small gap in the centre of the 5x13 shape where the four coloured segments don`t match up properly. This gap is exactly 1 unit in size.

"Similar to the last one, there`s a small gap in the centre of the 5x13 shape where the four coloured segments don`t match up properly. This gap is exactly 1 unit in size."

Yeah. The thickened lines in the middle of the `after` photo were obviously covering something up. Plus it helps if the shapes are semi transparent too.

Its pretty basic. The shapes don`t match up perfectly, so in the final `65` shape there`s a very thin sliver of a gap running like a very narrow kite shape between them. The size of this gap is the extra `1`

There is no sliver of a gap - It`s because when the pieces are changed around, the slope gradually takes away more white space (the space in the little squares)... Wasn`t there another similar post like this one?

"The two "triangles" are slightly concave, so the second square has a minuscule gap in it."

a gap in the middle wouldnt matter, it`d still be 5x13. they very slightly changed every slope, very very very freaking slightly. with many different slopes, they can change each one by just a hair and make it all fit.

The easiest way to explain this is that in the final configuration, the two lines comprising the tops of the green and orange shapes do not together form a straight line. The slope of a line is the rise divided by the run. The line atop the green triangle has a rise of 3 and a run of 8, and therefore, a slope of 0.375. The line atop the orange shape has a rise of 2 and a run of 5, and therefore, a slope of 0.4.

This results in a gap in the shape of a very thin parallelogram with an area, as MrRubik explains, of 1 unit. The width at its widest -- in the center between the green and red triangles -- is approximately 0.117 units. (1/sqrt(73))

- How is this math fact explained? Just watch and take notes...
Explanation

Here, they tried to cover it up by thickening the hypotenuses of the triangles after they have been flipped. If you look closely, you will see that they are thicker and darker than before.

So 64 = 64. Math wins and cheaters never get ahead.

Not quite. Take a 4x4 block. The perimeter is 16 units, and the area is 16 square units.

Now take those 16 blocks and lay them in a straight line. The area is still 16 square units, but the perimeter is now 34 units.

Yeah. The thickened lines in the middle of the `after` photo were obviously covering something up. Plus it helps if the shapes are semi transparent too.

> And for my next stunt, I will prove that 45,000,000,000 is the largest number possible.

45,000,000,001

:-P

No. Just no.

Yep. 0.999(repeated) does equal 1. Its called math.

http://www.cut-the-knot.org/Generalizati...

GYAAAAAAAAAAAAAAAAAAAAAAA.... *head asplodes*

i.e. 0.33333` + 0.33333` = 0.66666`, which is deccmalised to 0.66667, so + 1/3 = 1

so this video is mathematically wrong as generalizations are being used to solve it.

Why do we even try to understand math?

a gap in the middle wouldnt matter, it`d still be 5x13. they very slightly changed every slope, very very very freaking slightly. with many different slopes, they can change each one by just a hair and make it all fit.

the gap in the middle DOES matter

it`s very thin, but long so it makes 1cm^2.

check out murderous maths.co.uk if u dont believe me.

They are. That`s not how this works. Read the comments.

This results in a gap in the shape of a very thin parallelogram with an area, as MrRubik explains, of 1 unit. The width at its widest -- in the center between the green and red triangles -- is approximately 0.117 units. (1/sqrt(73))