Hello, everyone!
Recently, I taught my YouTube friend Mismag822
how to make a 4x4
magic square
for any number.
Now, I didn't give away all my tricks.
I'm going to go one better now
and I'm going to make
a 5x5 magic square.
Now, you can see Mismag's
video tutorial in the link in the description.
Now, in that video tutorial, he chose
the number 45, so let's do the same here.
And I'm going to fill in
these numbers.
The problem with the 4x4 magic square trick
is that the magic square can tend to look a little
unbalanced.
And, if you do it for any number,
it does tend to lose some
of its magic.
For example,
not all the cross diagonals
add up to the required magic number.
I've been doing this trick in pubs
for years,
and it always goes very well.
It's very impressive
if you can create one of these things
out of thin air.
But this should do it.
No, that doesn't quite work.
But maybe if I do this...
then, in that case,
this row
adds up to 45.
And this row adds up to 45.
This column
adds up to 45.
And this column, and this column,
and this column, and this column.
The diagonal adds up to 45,
and the other diagonal adds up to 45.
Not only that,
but the cross diagonals,
which might be
these two numbers
plus these three numbers here
they add up to 45.
Or these four numbers,
and this number here--
they add up to 45.
But not just that--
this plus
adds up
to 45.
And this plus here--the plus in the middle
adds up to 45.
This plus, this plus adds up to 45.
But not only that
this cross
adds up to 45.
And here,
and here, and here.
Not only that,
but the large cross in the middle,
which are the four points and the center.
add up to 45.
And the large cross
going through the magic square
adds up to 45.
But not only that,
if I wrap
the top edge, and I connect it
to the bottom edge,
and I make a tube,
and then I turn that tube around,
and make it into a donut shape,
there will be even more pluses and crosses
that add up to 45.
In fact,
there are over a thousand ways to pick
five numbers that add up to 45.
And this uses the numbers
minus three
to twenty-one
consecutively, without repeats.
Now how do you like them apples?
Now, to show you that this
wasn't just a fluke,
let's try and do one at random.
Right.
Now, to create my number at random,
I'm going to use
a pack of cards, which are mixed up,
and I'm going to shuffle them up some more.
Now, if I--
let's see what we get.
We've got a six and we've got eight.
OK, so sixty-eight
is going to be our number.
Let's do it.
In that case,
we're going to put
our numbers in now.
Again, this is
completely
at random--it was 68. I'll write that down.
I can't promise this will work.
But, if you can,
create one of these things
it's quite impressive.
I'll keep going.
And I'll try and do this as quickly as I possibly can.
That's an eight
there.
Keep going.
A few more left.
Down there.
Nearly there.
And what is left?
That one.
There.
And...
I'll finish it off. OK.
And that did it!
That's a 5x5 magic square
for 68 with
thousands of ways
to add up to the magic number.
OK, that's all for now.
And, if you have been,
thanks for watching.