In the last trick, the two 5x8 triangles that appear to make up the large rectangle are, in fact, not triangles. If you take out the 3 x 5 rectangle in the middle of the large triangle (the top of this rectangle is that line that divides the two triangles), the remaining two triangles are 2 x 5 and 3 x 8. Since these 2 right triangles are not similar, the big triangle was actually not a real right triangle. So, in fact, there is a small gap between where the marker is that makes up the 65th sq
Last trick: surface is presented by a 2nd degree function. it's somewhere in my math book..another example: you have a wire of 13 m. you want to connect your house and garage with that wire, and make a rectangle. so the question is, how long should the length and broath be so that the surface is maximal? the length = x broath = y x + y = 13 y = 13 - x S(urface) = y . x S = (13-x) . x = -x² + 13x = -1x² + 13x -1 < 0 TOP of the graph: -b/2a = 6,5 etc.
@anticorncob6 coz im ......mapagkumbaba.yeah.i wanna feel lower than others.i wanna make myself a "pawn" in a chess.but then when i reach the top of my opponents side,i could "revive" something.......
@MrKit2010 its actually because the diagonal lines will make up a differnt area when arranged differently, the explaination is here: h t t p : / / w w w . m i c h a e l b a c h . d e / o t / a n g _ t r i a n g l e P u z z l e / i n d e x . h t m l (without the spaces)
Hey everyone I just finished creating a math tricks website for those who need help improving mental math and basic arithmetic skills. Please check it out and let me know what you think of it. My site is mathtipsandtricks . com
If you look at the big triangles drawn at the square 8 x 8, it is not a correct drawing. Look at the third row (starting from the base below), the hypotenuse cuts the third row of the squares at the (up)right vertex of the first square, where two squares are left (which is wrong). Look at the similar triangles that are formed, 2/3 = 5/8! In this way, he filled out the gap of .25 (4*.25 = 1 square)
@wubs23: Actually he already knows what 7 x 11 x 13 is; it's 1001. so as long as the number you multiply by is three digits or less, the result will be that number followed by the same number filled to three digits.\
@dogonskis: The trick is that the angles on the triangular pieces and the truncated triangular pieces aren't exactly the same. If you draw the parts very carefully and cut them carefully, when you reassemble them into the second pattern you'll see the long diagonal lines don't quite come together. The area difference spread along that long line is exactly one unit.
@dogonskis: The trick is that the angles on the triangular pieces and the truncated triangular pieces aren't exactly the same. If you draw the parts very carefully and cut them carefully, when you reassemble them into the second pattern you'll see the long diagonal lines don't quite come together. The difference spread along that long line is a parallelogram of exactly one unit area.
That last one is due to the fact there is a long thin space running diagonal across the rectangle, which equals to the same area as one square on the paper.
Notice that 7 times 11 times 13 equals 1001. Take any three digit number (where each digit is between 1 and 9) and you'll find it's pretty easy to multiply it by 1001 in your head.
1. 7*11*13 = 1001. Any 3 digit number * 1001 is easy. xyz * 1001 = xyzxyz
3. extra square came from the fact that it was not a triangle you had. It didn't quite fit. Check the slope of the hypotenuse on the two different parts of the triangle.
the last trick: due to the positioning of the TRIANGLES, they are taking up more diagonal squares, which would produce eventually and add up to 1 extra square unit
The 2 different shapes after 3:00, They must have the same area if those 4shape cover both prefectly. I belive one of them has 64 small squre and one has 65 becasue those little squares inside are not equal. (He also didn't mention that they are equal either).
The grandient of the hypotenuse (however u spell it) on the large triangles is less steep than those of the diagonal bits on the trapeziums, hence, that second shape isnt actually a rectangle its more of a hexagon but with such little variation on the angles it looks like a rectangle.
Where does the extra square come from... it dosnt. i just printed off exact measurements. and cut it. it dosnt go together. if you watch carefully when he puts the supposed 65 square pieces together it dosnt match and he quickly removes them and show you what it makes.... CONMAN :)... keep an eye out for me. im going round exposing these "math tricks"...
the slopes of the lines are not equal; looking at the original, square grid, the line that makes the triangle is 8/3, or 2.333. The line that makes the pentagon should be perpendicular to that line: it should have a slope of 3/8, or 0.375. However, it has a slope of 2/5, or 0.400. The difference between these is small, so you would hardly notice it. This small difference in slopes makes the small difference in area (1 square unit would be small compared to 64 square units).
@bubbajiff It happens because the hypotenuse (in both pictures) isn't a straight line. Shape B goes horizontally 5 squares and vertically 2 squares while shape A goes horizontally 8 squares and vertically 3 squares. In order for the hypotenuse to be straight, they would have to have the same ratios. So in the top picture, the hypotenuse caves inwards while in the bottom picture, the hypotenuse caves outwards. (Google)
Thanks for the lecture yesterday at Imperial College. You said that this had 12,000 views! And you were right haha! Oh and thanks for the most pathetic facts in Maths!
don't you see, 1001 times any three digit number just gives that number repeated twice, e.g. 123 -> 123123 so he didn't even have to calculate it just write the original number (given by the people) twice
this guy is very good irl, iv seen him
dedly13 2 weeks ago
In the last trick, the two 5x8 triangles that appear to make up the large rectangle are, in fact, not triangles. If you take out the 3 x 5 rectangle in the middle of the large triangle (the top of this rectangle is that line that divides the two triangles), the remaining two triangles are 2 x 5 and 3 x 8. Since these 2 right triangles are not similar, the big triangle was actually not a real right triangle. So, in fact, there is a small gap between where the marker is that makes up the 65th sq
131T3M3 3 weeks ago
the second figure is ne a perfect rectangle , the width is not constant a long the length
ZHAROVAN 1 month ago in playlist Maths tricks
Press 2 for a surprise
PenileFracture 1 month ago
Fallschirmjaeger963 2 months ago
Comment removed
TheCopaceticMan 3 months ago
For cool math tricks to calculate faster visit my channel :)
TheMeGenius 5 months ago
Oh why did you do the last one. It's just a dumb visual trick, nothing to do with math.
therealkakkamakkara 6 months ago
The second trick was good but first was kinda obvious.. 7x11x13 is 1001
Any 3 digit no. multiplied for eg. 256 would be 256256 and so on..
jugernotash 6 months ago
do you know what thats called? yes. what is it? its a square. no its not
Fduffle 7 months ago
I pressed 1, then 2... It sounded like "On that side it's just gotta die - surprise!"
I have no idea why, but that made me laugh so hard...
Deretythe 7 months ago 3
guy in the background at 0:47 is probs like WTF........
arixria 7 months ago
This has been flagged as spam show
If you keep on pressing 3 it looks like he's waving a wand o.o and if you keep on pressing 4 it seems like he's saying Osama.
Techn0Dtragon 7 months ago
If you keep on pressing 3 it looks like he's waving a wand o.o and if you keep on pressing 4 it seems like he's saying Osama
Techn0Dtragon 7 months ago
Keep pressing 2 on the keyboard :
"Surprise"
"Surprise"
"Surprise"
...
"Surprise"
averygrandma 7 months ago
thumbs down if you tried to do the pentagon thingie but failed
killsome49 8 months ago
@killsome49 Why thumbs down? You know that if a comment recieves a negative vote then it gets pernametely deleted!
p.s. I couldn't do it and I voted that down
anticorncob6 8 months ago
@anticorncob6 coz im ......mapagkumbaba.yeah.i wanna feel lower than others.i wanna make myself a "pawn" in a chess.but then when i reach the top of my opponents side,i could "revive" something.......
killsome49 8 months ago
2:04 australians represent
Zeegoner 8 months ago
nerdy little laugh
xsni 8 months ago
the gradients aren't the same - -
luckystar861026 9 months ago
the angle between the lines of the two grids are not the same. they are slightly different.
TheTaylorfull 9 months ago 2
It's easy :P
the triangles' sharpest angles are approximately 20.56 degrees
the sharpest angles of the other shapes are approximately 68.20 degrees
the sum of those angles is approximately 88.75 degrees, which is NOT 90 degrees.
the third angle is so small, that you won't notice it at first.
I first thought I just sucked at using scissors XD
cooll930 9 months ago
i got one
66x67=
666x667=
6666x6667=
mrsonicdash10 10 months ago
why 65 square? Look agian to picture with 64s. and u can see he has a THICK RED LINE when u reshape that u can get 1 square ^^!
MrKit2010 10 months ago
@MrKit2010 its actually because the diagonal lines will make up a differnt area when arranged differently, the explaination is here: h t t p : / / w w w . m i c h a e l b a c h . d e / o t / a n g _ t r i a n g l e P u z z l e / i n d e x . h t m l (without the spaces)
Thraximunder 8 months ago
@Thraximunder thx...but i cant fuond this page
MrKit2010 6 months ago
2:04 A five sided thing is called a . . . square LOL
IOUAQT2 10 months ago 19
Hey everyone I just finished creating a math tricks website for those who need help improving mental math and basic arithmetic skills. Please check it out and let me know what you think of it. My site is mathtipsandtricks . com
veryfatal 11 months ago
keep clicking at 3:27 :D
CoolBillyTech 1 year ago 2
cool
kindsoohyun1 1 year ago
If you look at the big triangles drawn at the square 8 x 8, it is not a correct drawing. Look at the third row (starting from the base below), the hypotenuse cuts the third row of the squares at the (up)right vertex of the first square, where two squares are left (which is wrong). Look at the similar triangles that are formed, 2/3 = 5/8! In this way, he filled out the gap of .25 (4*.25 = 1 square)
dianabxh 1 year ago 3
Comment removed
dianabxh 1 year ago
i could tell right away this wasn't in america just because we definitely don't do math on the street o_o....
moonlightguardian 1 year ago
It's actually not matching because of that it's an extra suare. Just do it in Photoshop or whatever and zoom in and you will see.
2Cheater2 1 year ago
surely the extra square is just rounding from the split squares before hand?
toomanysam 1 year ago
Martin Gardner reprised!! Lay on, Sir!!
puncheex 1 year ago
Comment removed
wubs23 1 year ago
@wubs23: Actually he already knows what 7 x 11 x 13 is; it's 1001. so as long as the number you multiply by is three digits or less, the result will be that number followed by the same number filled to three digits.\
1001 x 26 = 26026.
puncheex 1 year ago
the extra square come from the red lines guys
camucase 1 year ago
this is friggin absurd... area doesnt change by itself when you just move it around -.-
dogonskis 1 year ago
@dogonskis: The trick is that the angles on the triangular pieces and the truncated triangular pieces aren't exactly the same. If you draw the parts very carefully and cut them carefully, when you reassemble them into the second pattern you'll see the long diagonal lines don't quite come together. The area difference spread along that long line is exactly one unit.
puncheex 1 year ago
@dogonskis: The trick is that the angles on the triangular pieces and the truncated triangular pieces aren't exactly the same. If you draw the parts very carefully and cut them carefully, when you reassemble them into the second pattern you'll see the long diagonal lines don't quite come together. The difference spread along that long line is a parallelogram of exactly one unit area.
puncheex 1 year ago 2
@puncheex what ya say :D
smorkodbake 1 year ago
7 people don't have an extra square.
0000infinity0000 1 year ago
haHAhaHAhaHAhaHA...aaahh!!
mcuriousyellow 1 year ago
THE EXTRA SQUARE IS A LIE!
LilReaper1010 1 year ago 14
That last one is due to the fact there is a long thin space running diagonal across the rectangle, which equals to the same area as one square on the paper.
seahawk124 1 year ago
Notice that 7 times 11 times 13 equals 1001. Take any three digit number (where each digit is between 1 and 9) and you'll find it's pretty easy to multiply it by 1001 in your head.
theboombody 1 year ago
7+9=banana
ryansdogsadie 1 year ago
This is annoying as hell. That man should be locked up in an asylum. He adds nothing but discomfort to the lesson.
HumaninSeoul 1 year ago
@HumaninSeoul
well he probably knows more math stuff than you.
gadunka888 1 year ago
It's not a magic
lmc6506 1 year ago
there's a VERY small gap in the middle of the rectangle
verymadrobert 1 year ago
The slopes arent equal on the grid. A square...ha ha! :)
jdfox1 1 year ago
i have met him
buchanproductions 1 year ago
did this guy came to my skool todaii. hes so funyy
BicycleHunter999 1 year ago
its a very small angle so most people wont notice the slight difference unless you spot the 2 triangles of different sizes and realise it.
thegoonist 1 year ago
Put that one there = ut'aton'air
PegasoltaEclair 1 year ago
well.... 7*11*13 = 1001 is just soooo well-known.....
jhelen90 1 year ago
extra square = hypotinuse different
alewisgb 1 year ago
nice i love it i was amazed!!!
#LOL
TripleEliteS 1 year ago
lol
1. 7*11*13 = 1001. Any 3 digit number * 1001 is easy. xyz * 1001 = xyzxyz
3. extra square came from the fact that it was not a triangle you had. It didn't quite fit. Check the slope of the hypotenuse on the two different parts of the triangle.
RobertBorgersen 1 year ago
the last trick: due to the positioning of the TRIANGLES, they are taking up more diagonal squares, which would produce eventually and add up to 1 extra square unit
Maghlenn3295 1 year ago
the last trick is the one who fulled me
pokemonkiller20 1 year ago
For the extra square trick, watch as he counts the 13 squares, he counts the 2nd last square as 2
boomk90 1 year ago
@boomk90 that would then be 12X5=60 !
ChristosC2 1 year ago
Did anyone else see it say 420 at 0:49?
RichardBehiel 1 year ago
all his tricks are easy.
thangkingking12345 1 year ago
it forces to buy the book. Thats only adv.
nerkn 1 year ago
Cool!
ScienceGuyBillNye 1 year ago
great. its magic!
blauerninja 1 year ago
u realise some of the red lines are bolded in the square. but the red lines are finer in the rectangle.
qzervi 1 year ago
pause at 1:43 lol
grantrick1 1 year ago
we did that in math class
FunIsPhun 1 year ago
the extra square comes from the thick red line in the middle of the 8x8 grid.
swordsplayer04 1 year ago
The 2 different shapes after 3:00, They must have the same area if those 4shape cover both prefectly. I belive one of them has 64 small squre and one has 65 becasue those little squares inside are not equal. (He also didn't mention that they are equal either).
Thanks for the video.
shervinrrr 2 years ago
His "hahaha" made me "hahahahaha"
Minertorus 2 years ago 50
This has been flagged as spam show
your "His "hahaha" made me "hahahahaha" " made me hahaha".
stad97 1 year ago
what is the first trick called?
fraserarts99 2 years ago
I have murderous maths codes: how to make them and how to break them.
fraserarts99 2 years ago
if you put the left and the right together they give 1 extra cubee
jamesamaralbednell 2 years ago
The grandient of the hypotenuse (however u spell it) on the large triangles is less steep than those of the diagonal bits on the trapeziums, hence, that second shape isnt actually a rectangle its more of a hexagon but with such little variation on the angles it looks like a rectangle.
bradzilaaaa 2 years ago
the slopes dont match up on the square so they cannot be counted as a rectangle
laplansm 2 years ago
the trick was so cool and that was awsome
fizzypuppy 2 years ago
if you pause at 3.06... you see. if the triangle on the right was straight against the bottom right bit. you can see how it dosnt work
antonyjbradley 2 years ago
Where does the extra square come from... it dosnt. i just printed off exact measurements. and cut it. it dosnt go together. if you watch carefully when he puts the supposed 65 square pieces together it dosnt match and he quickly removes them and show you what it makes.... CONMAN :)... keep an eye out for me. im going round exposing these "math tricks"...
antonyjbradley 2 years ago
theres also a square puzzle where a square dissappears... but it fits perfectly on the previous square :o (im danish i dont know english math >:[ )
pludrpladr 2 years ago
what!?!
where DID that extra square come from!?!?
MY WHOLE LIFE HAS BEEN TURNED UPSIDE DOWN!!!!
AAAAHHHHHH
bubbajiff 2 years ago 73
@bubbajiff
the slopes of the lines are not equal; looking at the original, square grid, the line that makes the triangle is 8/3, or 2.333. The line that makes the pentagon should be perpendicular to that line: it should have a slope of 3/8, or 0.375. However, it has a slope of 2/5, or 0.400. The difference between these is small, so you would hardly notice it. This small difference in slopes makes the small difference in area (1 square unit would be small compared to 64 square units).
muffin1102 1 year ago 3
@bubbajiff It's a trick. Look carefully at the shapes.
pikuorguk 1 year ago
@bubbajiff if you asemble it corectly you would see a gap that has area same as that extra square.
ps. sorry for my english
majaisavo 1 year ago
@bubbajiff It happens because the hypotenuse (in both pictures) isn't a straight line. Shape B goes horizontally 5 squares and vertically 2 squares while shape A goes horizontally 8 squares and vertically 3 squares. In order for the hypotenuse to be straight, they would have to have the same ratios. So in the top picture, the hypotenuse caves inwards while in the bottom picture, the hypotenuse caves outwards. (Google)
tuzmor 1 year ago
@bubbajiff the line is not straight on the second one
MsCamotoe 1 year ago
@MsCamotoe exactly, thats the hole magic, is a milimetrical trick, learned when i was like 10 at school
Philipomagno 1 year ago
@bubbajiff The diagonal doesn't align perfectly, leaving some room in between for the extra area
ideegeniali 7 months ago
@bubbajiff
Noob start going to school.
RUL1S88 6 months ago
@bubbajiff there are difference of mm which adds up to 1cm giving it to 65 when assemble it the the other way :p
safdotkom 5 months ago 3
the extra square is made of not completed squares
TheManUtdGuy 2 years ago
wow! The author!
dddin12345ddddd 2 years ago 4
Thanks for the lecture yesterday at Imperial College. You said that this had 12,000 views! And you were right haha! Oh and thanks for the most pathetic facts in Maths!
xxxpistolpetexxx 2 years ago
Try Martin Gardner
u1zha 2 years ago 2
lol the last trick is the easiest
just calculate the angles and u find the mistake
contantg 3 years ago
the grid puzzle is amazing!
Furry4Life13 3 years ago
by head, 7*11*13 = 1001... That's amazing, he wrote 6 letters ! Wow ...
allehelgen 3 years ago
its numbers not letters
superfrowny 2 years ago
thanks, I could'nt find that word :)
allehelgen 2 years ago 2
don't you see, 1001 times any three digit number just gives that number repeated twice, e.g. 123 -> 123123 so he didn't even have to calculate it just write the original number (given by the people) twice
slonopochron3000 2 years ago 4
this vid rocked the house
aquamarine8889 3 years ago
he sounds like a top guy
CoreyZamprogno 3 years ago
he came to my scool panzrocks123 brought one of his books
DandyNewberg 3 years ago
he came to my school at fullbrook today
absolutly brilleiant funny and amazing tricks
panzrocks123 3 years ago
He was at my school today. I was in fits of laughter. He is sooooo funny and sooooo good!
habbohotel19954 3 years ago
wow!!!
how did he do the last one!!??
hes amazing...
Aditikhirbat3 3 years ago