THE BEAUTY OF MATHEMATICS 5

Another photo depicting the use of mathematics in architecture.

12-POINT PUZZLE

Your goal is to connect the dots using 5 straight lines only.

HAPPY HOLIDAYS

A holiday greetings from REALM OF MATHEMATICS

THE BEAUTY OF MATHEMATICS 4

This is the fourth photo depicting the beauty and use of mathematics on famous places.

THE BEAUTY OF MATHEMATICS 3

This is the third photo depicting the beauty and use of mathematics on famous places.

THE BEAUTY OF MATHEMATICS 2

This is the second photo depicting the beauty of mathematics in our surroundings.

THE BEAUTY OF MATHEMATICS 1

This is the first of the series of photos appreciating math in the world.

THE MATHEMATICS OF LIFE

This is the reality of life.

HAPPY 40th ANNIVERSARY RUBIKS CUBE

This day is the 40th anniversary of the Rubik's cube, which was first introduced in Hungary.

LEARN AT MATHEMATICS REALM

This is the extension of the mathematics realm blog. It contains math lessons, tutorials, downloads, etc.

SYMMETRY AND TRANSFORMATION

A work of art depicting symmetry and transformation.

HAPPY HOLIDAYS 2013!

A greetings from Realm of Mathematics and Learn at Mathematics Realm!

BLOG ACTION DAY 2013

I have already registered. COme and join us!

MATH ARTS 4

Another figure being formed by transformation.

MATH QUOTES 1

A very famous quotation about math.

MULTIPLES OF 9 PATTERN

A very simple pattern found on the multiples of 9.

MATH ARTS 3

Another figure being formed from symmetrically rotated and transformed picture of a famous mall in Jakarta.

NUMBER PUZZLE 2

A very simple number puzzle you would definitely like. One is explained well and the other is given for you to try. Good luck!

MATH ARTS 2

This images are created from a symmetrically rotated and transformed picture.

MATH ARTS 1

This is a simple art created by using circles of different sizes and colors.

NUMBER PUZZLE

This is a simple puzzle involving a pattern of numbers. Try to decipher the pattern and find the missing numbers.

BIG NUMBER PUZZLE

This is a simple puzzle of creating the largest possible number using the indicated numbers and symbols

CUBE COUNTING 2

This is the second part of the cube counting series. Just count the number of cubes being used in the figure.

LEARN AT MATHEMATICS REALM

This is an extension of the mathematics realm blog. It provides information, lessons and tutorials on specific topics from different areas of mathematics.

HOLY WEEK 2013

A simple mathematical statement that means a lot.

BIBLICAL NUMBERS

This are the first ten biblical numbers. What do they represent?

CONNECTING DOTS WITH LINES

This is one of the most common math puzzles. It involves connecting dots using a specified number of lines and following some conditions

A MAN IS LIKE A FRACTION

A math quotation to think about.

TRIANGLE COUNT

A simple problem that tests your patience and accuracy in counting.

MATH CLOCK

A clock showing different expressions from different areas of mathematics

MULTIPLYING NUMBERS BY 5

A technique in getting the product of any number and 5

CURVES FORMED FROM STRAIGHT LINES

These are curves approximated by the series of straight lines. You can test your creativity by forming a mathematical artwork using the curves.

HOW TO DIVIDE A SQUARE INTO FOUR EQUAL PARTS

These are some of the ways on how to get four equal parts in a square.

CUBE COUNTING

Count the number of smaller cubes in each figure.

SQUARING NUMBERS NEAR 100 (Case 2)

Second part of two cases. This is the easiest way to square a number near and greater than 100.

SQUARING NUMBERS NEAR 100 (Case 1)

First part of two cases. This is the easiest way to square a number near and less than 100.

MULTIPLYING NUMBERS BY USING LINES

The easiest way of multiplying numbers using parallel and intersecting lines.

THE COIN TRIANGLE PROBLEM

Rearrange the coin in a reversed triangular form.

THE VALUE OF MONEY

The value and limitations of money.

EARTH HOUR 2012!

This is to promote for the Earth Hour 2012 on March 31, 2012. Read more for details...

MATHEMATICAL WAY OF SAYING I LOVE YOU!

A math inequality problem leading to the word i love you!.

THE MISSING COIN PROBLEM

A problem about the missing coin used in daily activities.

THE 3 CATS, 3 MICE PROBLEM

A puzzle is about cats catching mice in a day.

DIGITAL CIRCLISM

See the beauty and use of circles in different artworks. Can you guess who are in the images?

THE SIGNIFICANCE OF 40 DAYS IN THE BIBLE

This is the list of significant events in the Bible that have been done in 40 days.

BASIC MATH QUIZ PART I (Decimals and Integers)

This will test your knowledge about basic concepts in mathematics, specifically on decimals and integers.

Year 2011

Notable dates that makes year 2011 amazing and special.

MATH TALK

A simple conversation of a couple integrating math in the talk.

MULTIPLYING NUMBERS BY 11

This is the fastest and easiest way to multiply numbers by 11.

SQUARING NUMBERS ENDING IN 5

This is the easiest way to square a number ending in 5.You can actually do this in seconds only!

PARALLEL LINES

Comparison between the definition of parallel lines in Euclidean Geometry and in Non-Euclidean Geometry.

MAZES

Aside from the usual form of mazes that we know, there are mazes that are computer generated, which also resemble some common objects or people.

DAYS OF THE MONTHS

This uses body parts to easily remember the exact number of days for every month of the year.

HOW FAR IS A STORM FROM YOU

A basic computation that can easily determine the distance of a storm from your location.

THE BIBLE CODE PUZZLE

A mathematical connection on the words that can be found in the Bible.

January 10, 2012

THE BIBLE CODE PUZZLE

Photo Courtesy of clarita/morguefile
Here is another puzzle about The Bible. One of the past posts also deals with The Bible, specifically "The Significance of 40 Days in the Bible". This time, it deals with the words that could be found in The Bible. I have read this in the book "Wonders of Numbers" by Clifford A. Pickover. Read the following verses.
Excerpt from the Book of Genesis
What to do:


1. Select any word in the first verse: "In the beginning God created the heaven and 
    the Earth".


2. Count the number of letters of the chosen word. The number of letters in the word will    
    determine the number of jump for the next word. 

   For example, if you choose the word "God", there are three letters (G, o, d). Hence, jump  
   three words from "God" - that will be the word "heaven".


3. Continue the same process until you reach the third verse.
   
    In the above example, "heaven" has 6 letters. Jump 6 words and you will reach "earth" in 
    the second verse. "Earth" has 5 letters, jump 5 words and reach "void". Next will be 
   "upon", then "the", and then "the". Next is "God", then "the", then "the", then finally reach    
   the third verse. 


4. Stop when you reach the third verse.


    In the example above, which word did you land in the third verse? It is "GOD". 


   You can choose another word in the first verse and do the same process. In any choice of   
   word, you will always land in the word "GOD" in the third verse. Try it!


MATHEMATICAL CONNECTION:


According to Martin Gardner, in his work "Mathematical Games", each of the chain of words will always end on GOD. It is a result of the "Kruskal count", named after the mathematician Martin Kruskal who discovered it. It is a probabilistic concept that ca be applied to some magic tricks (most of it are on card tricks) and code-breaking. 


Gardner points out that when the total number of words in a text is significantly greater than the number of letters in the longest word, it is likely that any two arbitrarily started word chains will intersect at a keyword. After the intersection point, the chains become identical. As the text lengthens, the likelihood of the intersection increases.  

January 6, 2012

HOW FAR IS A STORM FROM YOU

Photo Courtesy of chattiekathie/morguefile
Do you know how to determine the distance of a storm from your location. You only need a simple calculation.  

What you need:  
 1) pen and paper
 2) watch or clock (if available)
 3) calculator

Here is what you should do:
1) Stay in a safe location. It is recommended that you must stay inside your home where you will do your observation. 
2)During a storm you always see flashes of lightning and hear the roar of thunders. Start counting when you see the flash of lightning. You may count the seconds in a clock or watch. If the clock is not available, count starting from "one thousand one", then "one-thousand two", "one-thousand three", and so on.
3) Stop counting when you hear the thunder. Record the number of seconds that you counted.
Photo Courtesy of johnglenn513/morguefile

4) Divide the result:
   a) by 5, if you want to get the distance in miles
      example:  If you counted 25 seconds, divide it by 5. That is 25/5 = 5.
                      Hence, the storm is 5 miles away from you. 
   b) by 3, if you want to get the distance in kilometers
      example:   If you counted 21 seconds, divide it by 3. That is 21/3 = 7.
                      Hence, the storm is 7 kilometers away from you. 
5) Continue doing the same process and record the progress. You can then monitor is fast approaching your location or it is going away from your location.

Reason Behind:
Light travels faster than sound. A leader of a bolt of lightning can travel as fast as 220,000 km/h or 140,000mph. On the other hand, the speed of sound in dry air is approximately 343 m/s or 1,236 km/h.

Lightning and thunder occur at the same time, but we see the flashes of lightning first before we hear the roar of thunder since they differ in speed. It means that the lightning is approximately one (1) mile distant for every 4.6 seconds (~5 seconds) that elapsed between the start of the flash and the sound of thunder. That is also one (1) kilometer for every 2.9 seconds (~3 seconds) that elapsed. Therefore, in order to get the distance in miles, we need to divide the time between the flash of lightning and thunder sound by 5 and divide it by 3 to get the distance in kilometers. 


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