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.

October 31, 2010

PARALLEL LINES

a picture of parallel lines
What are parallel lines?


If we describe two individuals as parallel lines, will that mean that they will never meet each other? Does that mean they are not meant for each other? Does that mean that they will never be together? If your answer is "YES", then think again. Maybe you don't know yet the definition of parallel lines.

In Euclidean geometry, parallel lines are lines on a plane that do not intersect or meet. It can be extended on both directions. Further, the perpendicular distance between the lines remains constant. 

The symbol for parallel is II. If line LO is parallel to line VE , then we can write LO II VE.

However, in non-Euclidean geometry, parallel lines intersect at a certain point called the ideal point.

To visualize the ideal point, let us look at a picture of a pond in Wright Park, Baguio City, Philippines. 

In the picture above, the sides of the pond represent parallel lines extended infinitely upward. It somehow forms an illusion that the parallel lines meet at the upper center of the figure. It is somewhat triangular in form. The intersection on the upper center is the ideal point

If I ask you now,
1. What are parallel lines? How would you answer?
2. If two individuals are described as parallel lines, would that mean they are not meant for   
    each other? Why? 


October 25, 2010

MAZES

maze by Jie Xu and Craig S. Kaplan
Mazes are also generated by using a computer with inputs from a human designer. They consider the complexity and aesthetic factors of the maze. Some of these are constructed through the interconnected vortices forming sets of paths like the figures below:

The Polyhedron
by Jie Xu and Craig S. Kaplan

The Tumbling Blocks
by  Jie Xu and Craig S. Kaplan

Some of the mazes are generated by the use of images like the following: 
Pres. Lincoln
by Jie Xu and Craig S. Kaplan
The Sphinx
by Jie Xu and Craig S. Kaplan

Would you like to try solving these mazes? It's a test of patience, determination and spatial skills. Good luck!

Note: The use of the images above is permitted by the owners, Jie Xu and Craig S. Kaplan. You can visit their web page at  http://www.cgl.uwaterloo.ca/~csk/projects/mazes/

October 24, 2010

MATH TALK

Photo Courtesy: Michal Zacharzewski/stock.xchng
A couple is attending a school party. The guy fetch the girl at their house. 


The girl asked : "How do I look? 


The guy answered: "You are so tan c/sin c"


The girl asked: "What do you mean?"


The guy answered: "tan c/sin c is equal to (sin c/cos c)/sin c, 
                                    which is equal to 1/cos c
                                    Lastly, 1/cos c is equal to sec c.
                                    You are so sec c!" 


What a wonderful world of mathematics!
If mathematics could have been integrated in our daily life as light as this, then the subject itself could have been universally appreciated and used by everybody.http://www.sxc.hu/pic/m/m/mz/mzacha/1182634_silhouette.jpg

October 21, 2010

DAYS OF THE MONTHS

     
         THE DAYS OF THE MONTHS
Thirty days hath September,
April June and November.
February has twenty-eight alone,
All the rest have thirty - one,
Excepting Leap Year - that's the time
When February's days are twenty - nine. 
Did anyone share or teach this poem to you when you were starting to memorize the exact number of days for every month of the year?


I guess it's effective when you create a jingle from it - using a common song you easily remember. Otherwise, memorize the poem as is.


I still remember during my elementary days when some items in our periodical examination involve the number of days of specified months. One of my classmates tried to recite (murmur) the poem repeatedly. Unfortunately, he forgot the exact arrangement of the months in the poem. He ended up guessing the answers for the items.


Luckily, a week before the examination, one of my relatives shared a technique of easily remembering the number of days of every month without even memorizing the poem. It helped me a lot remembering the exact number of days. Raymond Blum, the author of the book Mathamusement, called this as the knuckles method. It is called knuckles method because it uses the knuckles and the spaces between the fingers as representations of each month of the year.


Make two fists, with palm down. From left to right, the knuckle formed at the base of your baby finger represents January. The space between the baby finger and the ring finger represents February. The knuckle at the base of your ring finger represents March. Continue the process until you reach December. Take note that when you reach July (represented by the knuckle of the index finger of your left hand), proceed with the knuckle of the index finger of your right hand, which represents August.


The months represented by the knuckles have 31 days. These are January, March, May, July, August, October, December.


The months represented by the spaces between the knuckles have 30 days, except for February. These months are April, June, September and November. February is exempted because during a common year it has 28 days but during a leap year it has 29 days. This happens only every four (4) years.Year 2008 is a leap year. The next one will be on 2012.


The next time someone asks you about the exact number of days of every month, use your knuckles!  


            


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