## Click here for the next blog on magic cube.

We have already seen the preparation of the magic cube.

Today we will discuss some specific addition patterns of this magic cube. See the following figure of the magic cube.

Miraculous World of Numbers is an eBook on Mathematical Fun. It has so many creative ideas to develop the skills & to increase the Thinking power. Along with this eBook I would like to encourage Students & Parents how they can participate to build the entire world with powerful thinking level. My Blogs will definitely encourage students & parents in this direction.

We have already seen the preparation of the magic cube.

Today we will discuss some specific addition patterns of this magic cube. See the following figure of the magic cube.

Video on a simple method of multiplication.

For more details on multiplication, click on the following link:

Example: Multiply 279 by 563.

Step-2

Step-3

Video on the fun with mathematics.

1) Basics of drawing perpendicular bisector on the line segment.

2) Funny addition.

3) Basics of roots of quadratic equations.

5) Fun with 3^2, 33^2, 333^2 and so on.

6) Fun with 6^2, 66^2, 666^2 and so on.

7) Fun with 9^2, 99^2, 999^2 and so on.

8) Digit addition.

9) Check your calculations.

All such fun will be enjoyed in the following video. If you like this video, then subscribe to my channel and share and like this video.

We have already seen the preparation of the magic cube.

Today we will discuss some specific addition patterns of this magic cube. See the following figure of the magic cube.

Here see all the boxes with all corresponding numbers. Now we study "Top-bottom-diagonal-front-right-strip". See the following diagram taken from the above magic cube.

Here the addition of all the corresponding numbers will be 1164.

The ‘Kaprekar
constant’ (6174) is a constant with special properties. The ‘Miraculous
Constant’ is based on the ‘Kaprekar Constant’ and exhibits some special
properties in addition to the properties of the ‘Kaprekar Constant’.

For any four-digit
number that is made up of at least one differing digit, rearrange the digits as
follows:

1) Place the largest digit at the 1000’s place and the smallest digit at the 100’s place.

Out of the remaining 2 digits:

2) Place the largest digit at the 10’s place and the smallest digit at the unit place.

Let's refer to this
rearranged number as a Zigzag number.

Example: Let’s say the input number is 8492. Let’s form the Zigzag number from this.

Solution:

1) The highest digit of the given number 8492 is 9 and the smallest digit is 2. So, the 1000’s placed digit of the Zigzag number will be 9, and the 100’s placed digit will be 2.

2)
Now we
need to place the digits 8 and 4 where 8 is the greater and 4 is the smaller
digit, so 10’s placed digit will be 8 and the units digit will be 4.

3)
So, here
the zigzag number of 8492 will be 9284.

4)
Its
reverse number will be 4829.

1) Place the largest digit at the 1000’s place and the smallest digit at the 100’s place.

Out of the remaining 2 digits:

2) Place the largest digit at the 10’s place and the smallest digit at the unit place.

Example: Let’s say the input number is 8492. Let’s form the Zigzag number from this.

1) The highest digit of the given number 8492 is 9 and the smallest digit is 2. So, the 1000’s placed digit of the Zigzag number will be 9, and the 100’s placed digit will be 2.

In general, if the number is 1000a + 100b +
10c + d in which, a > b > c > d, **∀
a, b, c, d ∈ ****W, a set of whole numbers,** then the Zigzag number
will be 1000a + 100d + 10b + c and its reverse number is 1000c + 100b + 10d +
a. At least one digit out of
a, b, c, or d must be different from others.

Now let us take the
positive difference between the “Zigzag number” and the “reverse number”.

Repeat this process called iteration until you get 8181 (Miraculous constant).

Repeat this process called iteration until you get 8181 (Miraculous constant).

Kaprekar's constant is 6174. Our
interest is to develop some other criteria to get the Miraculous Constant 8181.
Let us take any 4-digit number with at least one different digit. We can take
any number like 0001 which has 4 digits and one digit is different.

Let us take any 4-digit number,
8492. Here, the largest digit is 9. So, the thousand-place digit will be 9. The
smallest digit is 2, so the 100s place digit is 2. From 8492, digits 9 and 2
are being used, so the remaining digits are 8 and 4. To place a larger digit, 8
at the 10s place and 4 at the units place. So, our Zigzag number is 9284 and its
reverse number is 4829 and we get a positive difference.

Here in iteration 3, the number 8181
is obtained. Again, from 8181 to reach 8181 we have 5 iterations, and they are
fixed.

Basics of trigonometry

Now we will study some examples of trigonometry.

Basics of trigonometry

Now we will study some examples of trigonometry.

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