NUMBER PUZZLE 2

Here is another number puzzle. I'll tell you how to answer the first one then try to do the other by your own. Here is the first one:

Let us try to decipher the pattern for the numbers.

In this number puzzle, try to focus on the results. For the first statement, if you notice, 1 is already the first digit and also the last digit. The middle digit, which is 2, comes from the sum of the two numbers.

For the case of 1 + 2, 1 is the leftmost digit but is not the rightmost digit. That means the pattern that we got in the first statement is not true to all the statements. 

The only problem is how to make 2 to 4. We can multiply 2 by 2 and get 4 or square 2 to get 4. 

Let us apply that with the first statement. The square of 1 is 1. This is applicable to both statements now. 

Let us study the third statement. We cannot just copy the first number for the leftmost digit. They are not equal. 

What is we square the first number? Let us check if all the digits are satisfied with the pattern that we got.

. 

Let us also see if it is applicable to the first and second statements.

Yes, both statements are satisfied. How about the fourth statement?

Now that all statements are satisfied, let us generalize the pattern for all the statements. Take note that the pattern would be:

Now, let us apply the pattern to the last statement to find the missing number.

Therefore, 

It is now your turn to do same process. The following puzzle is similar to the one I presented above but there will be a slight difference. It's your turn to find the pattern. 

Goodluck! Hope you learned something from this... :)

Your comments ans suggestions are welcome here. You may write them in the comment box below. Thank you!

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MATH ARTS 2

The picture above seem to look like a head of a frog or a snake or the front part of a boat. It depends on how you see it.

The image actually came from a simple photo of a prominent mall in Jakarta, Indonesia. Here is the photo:

The photo was symmetrically rotated and transformed into a new figure like the first image above. I have also added colors and some effects on the images. As you can see in the original picture, there is a street light post. In the image formed, it became a decoration on the upper part. The logo of the mall in the original picture became the eyes of the frog or snake in the image formed. The building on the left side of the mall became the platform in the lower part of the image. 

I have also created a variation of colors for the image. Here they are:

   

Hope you like them all. Try to do the same process to your photos and you will see amazing results, too.

Your comments and suggestions are always welcome. Write them in the comment box below. Thank you!

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MATH ARTS 1

This is one of my work of art, if it is considered as one. I made this using an application in my mobile phone.

The image is being formed by using varying sizes and colors of circles. The figure formed resembles a pitcher plant or lilies. The white in the middle part represents the stigma of the flower. If you know a flower that looks like these, you may write it in the comment box below.

I actually have a collection of the images I created similar to this. I'll share them to you one at a time. Hope you like it.

You may save and use the image in your works. Just make sure to link it back here. Thank you!

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NUMBER PUZZLE

Here is a simple number puzzle. At first, it looks complicated but upon looking for patterns, the puzzle seem so easy. I'll teach you the first one, then answer the other one. 

To solve this number puzzle, look for any relation of the numbers. Check if there is a possible relation of adjacent numbers, etc.

In this puzzle, the numbers in the first column are consecutive numbers. For the second column, notice that 3 is next to 1 and 2 in the first column. The number 3 is also the sum of 1 and 2. If you check the next number in the second column, 5 is the sum of 2 and 3 in the first column. You may continue checking for the pattern. Make sure that the pattern applies to all the numbers. Therefore the missing numbers in this puzzle are 7 and 20.

Now it is your turn. Try to decipher the missing numbers in the following puzzle:

You may write your answers in the comment box below. Good luck!

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BIG NUMBER PUZZLE

This big number puzzle is based on the original puzzle by Dr. Francis O. Googol, a mathematician. Originally, the puzzle is to create a very large number using the numbers/symbols 1 2 3 4 ( ) . and - .

Let us have a modification of the puzzle. This time, let us create a very large number using the numbers 1, 2, 3 and the symbols (  ) + and - only once.

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Let us see who could create the largest number possible. Write your answers in the comment box below.

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