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.

Showing posts with label Math Art. Show all posts
Showing posts with label Math Art. Show all posts

February 1, 2015

CONNECTING DOTS WITH LINES (PART 2)

mathematics, igcse, math trivia, math puzzles, math applications, math tricks, math fun, daily math, geometry, construction, lines, points

This is the second part of the the post Connecting Dots With Lines. In the previous post, the solution of the puzzle of connecting nine (9) dots with four (4) lines only was shown. Possible and common wrong answers are also shown with corresponding reasons why they are not the correct solutions.

This time, it involves twelve (12) dots. Your goal is to connect all of them by using five (5) lines only without lifting your pens, without retracing - the last segment must stop at where the first segment started. (Hint: You can cross another line.)

Can you do it?


Your comments and suggestions are welcome here. Just write them in the comment box below.

Thank you and God bless!

December 11, 2014

HAPPY HOLIDAYS TO ALL!

mathematics,photography,colors,circles,geometry,arts,malls,structures

REALM OF MATHEMATICS would like to greet all of you a MERRY CHRISTMAS and a HAPPY NEW YEAR!!!

May you enjoy the season with your love ones. Happy holidays!
mathematics,photography,colors,circles,geometry,arts,malls,structures

October 26, 2014

BEAUTY OF MATHEMATICS 4

parabola,mathematics,photography,aesthetics,curves,graphs,algebra,geometry,architecture,engineering
The Technohub, Quezon City, Philippines
The photo above is the 3rd of the photos taken at The Technohub located at Quezon City, Philippines.  The fountains depict a common mathematical graph, which is the parabola. In Physics, it is called the projectile. 

The amount of force needed to push the water upward is very important in determining the height of the fountain. The greater the force, the higher the fountain is. The varying heights of the fountains contribute to the beauty of the facade of the park. 

Your comments and suggestions are welcome here. Just write them on the comment box below.

Thank you and God bless!

October 12, 2014

BEAUTY OF MATHEMATICS 3

photography,lines,curves,parallel,beauty,arts,math applications,math appreciation,everyday math
Technohub - Quezon City, Philippines
The picture above is also taken at The Technohub in Quezon City, Philippines. It portrays the use of spheres as part of the facade of the park. They add more mathematical aesthetic together with the curvature formed by the establishments around it.

The spheres used vary in sizes. Can you approximate the diameter of each? How about their volumes?

Your comments and suggestions are welcome here. Just write them on the comment box below.

Thank you and God bless!

photography,lines,curves,parallel,beauty,arts,math applications,math appreciation,everyday math

September 13, 2014

THE BEAUTY OF MATHEMATICS 2

photography,lines,curves,geometry,architecture,beauty,math arts,everyday math,math appreciation
The Technohub - Quezon City, Philippines
This is a photo taken at The Technohub located near the University of the Philippines, Diliman, Quezon City.We met our friends here just for a hangout, sharing stories and laughters, just like the old times.

The photo shows a balance between the use of curved lines and straight lines. The harmony of lines and their symmetry created a beautiful facade. A facade that shows how beautiful mathematics is.

Your comments and suggestions are welcome here. You may write them in the comment box below.

Please don't forget to like and share, Thank you and God bless!

photography,lines,curves,parallel,beauty,arts,math applications,math appreciation,everyday math

September 7, 2014

BEAUTY OF MATHEMATICS

photography,lines,curves,parallel,beauty,arts,math applications,math appreciation,everyday math
The Philippine International Convention Center
Today, I will be starting a series of photos entitled "The Beauty of Mathematics". This series of photos are taken from different places, different environments, different methods used in taking the photos, different angles, different focuses, different mathematical connections, and different appeal. 

All of these photos are taken using a mobile phone and (or) point-and-shoot device.

The above photo is taken from the facade of the Philippine International Convention Center, one sunny Sunday. The place is also the venue for the widely known "The Feast" hosted by Bro. Bo Sanchez.

photography,lines,curves,parallel,beauty,arts,math applications,math appreciation,everyday math

September 1, 2014

THE MATHEMATICS OF LIFE

math applications, algebra, algorithm, basic operations, colors, lines, circles, curves, life, mathematics

This is the reality that we need to face... :(

May 19, 2014

HAPPY 40th ANNIVERSARY RUBIK'S CUBE!

mathematics, puzzles, cubes, trivia, geometry, math games, play, 3d

Today marked the 40th anniversary of one of the famous toys of the world, the Rubik's cube.

Rubik's cube is a 3-D combination puzzle. It was originally named as MAGIC CUBE but later changed to Rubik's cube, in honor to the inventor.

mathematics, math games, math puzzles, math fun, math trivia, geometry
It was invented by Erno Rubik in 1974. Rubik was a Hungarian inventor, architect, and professor of architecture. Since Rubik's Cube was introduced to the public, it became the world's best selling toy.

Now, there are already a lot of variations of the Rubik's cube - various dimensions, colours and shape or form.

Enjoy playing the Rubik's cube. Thank you Sir Erno Rubik for introducing this toy to the world!

HAPPY RUBIK'S CUBE DAY!!!





If you have any comments and suggestions, you are free to write them in the comment box below. Thank yoU!

April 8, 2014

LEARN AT MATHEMATICS REALM WORDS CLOUD

IGCSE,math blogs,math tutorials,math tricks,numbers,patterns,trivia

This is the collection of all words from Learn at Mathematics Realm blog. It is an extension of this blog and it focuses more on mathematics lessons and tutorials. There are also free downloadable items (worksheets, proofs, lessons, etc.).

You may visit the other blog at www.learnatmathematicsrealm.blogspot.com. Please share this to all your friends.

January 23, 2014

SYMMETRY and TRANSFORMATION

mathematics,IGCSE,symmetry,geometry,polygons,plane figures

We have just discussed symmetry and transformations in our math class. Showing them possibilities and effects of the transformations to any object/shape - work of arts, symmetrical faces and logos, etc. Then I remember the one above given to me by one of my students. It looks so simple but it shows an application of the concepts we have learned. Thank you Nico for this work of art!  

December 2, 2013

HAPPY HOLIDAYS!

holidays,mathematics,arts

Christmas is fast approaching. Christmas trees, lanterns, carols and Christmas ornaments are everywhere. The cool breeze of the air signifies the season of joy, peace and love. A celebration for the birth of our savior Jesus Christ. 

REALM of MATHEMATICS and LEARN AT MATHEMATICS REALM would like to greet all of you a happy holidays!!! 
holidays,mathematics,IGCSE,plane figures,symmetry


September 14, 2013

MATH ARTS 4

transformation,IGCSE,mathematics,plane figures,polygons,arts

Here is another Math Art I have made using the picture of a building in Central Jakarta. Here is the original photo of the building:
transformation,IGCSE,mathematics,plane figures,geometry,polygons,arts
Another variation of the photo is here: 
transformation,IGCSE,geometry,plane figures,polygons,mathematics

Both pictures are formed by symmetrical transformations of the original photo.

What can you say about the result? 

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

August 13, 2013

MATH QUOTES 1

mathematics,everyday math,math application,symmetry,transformation,IGCSE
This is one of the best quotes about mathematics. It tries to integrate math to real life by using basic terms such as add and subtract.

On the other hand, there is a contradiction on the idea that every problem in math has a solution (because some problems may have no solution). Looking deeply, eventhough there are NO SOLUTIONS in math, still it is the ANSWER to the problem. What is important is that there will always be an answer!

I want to hear your ideas about this quote. Share them here. Write them in the comment box below. 

Thank you!  

claimtoken-520b092d717b2

July 2, 2013

MATH ARTS 3

mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons
This is the second part of the figures being formed from symmetrically rotated and transformed famous mall in Jakarta.
mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons
The figure for me resembles a sad face of a clown. The street light post serves as the lips of the clown. The logo of the mall serves as the eyes. Here are the variations of the figure:
mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons
mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons
mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons
mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons

In your perception, what is in the figure? How does it look like?

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

June 24, 2013

MATH ARTS 2

mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons,numbers

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:
mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons,numbers
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:

mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons,numbers

mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons,numbers


mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons,numbers
   
mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons,numbers

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!

June 21, 2013

MATH ARTS 1

mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons,numbers

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!

April 14, 2013

CUBE COUNTING 2

mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons,numbers,puzzles

This is the second part of the CUBE COUNTING PUZZLE. The first part could be found here. It is a very simple puzzle but it test your spatial ability as well as your patience in counting the cubes. 

Here is another figure consisting of cubes. How many cubes are there? 
mathematics,IGCSE,patterns,symmetry,transformation,geometry,polygons,numbers
Write your answers in the comment box below. Good luck!

April 2, 2013

LEARN AT MATH REALM

IGCSE,math tutorials,math lessons,proofs,trivias,math tricks,patterns,symmetry,transformation,geometry,polygons,numbers

A new blog is born - the "Learn at Mathematics Realm" blog! This is an extension of this blog. This new blog provides information, lessons, tutorials and resources for students and educators. This encompasses various topics from different areas of mathematics.

I hope you will also follow this new blog of mine. Thank you for your continued support!  

October 5, 2012

TRIANGLE COUNT

Here is a very classic math puzzle/problem. Just simply count the number of triangles in each figure. However, many still find it confusing since you have to count all the smallest triangles, all bigger triangles, until the largest triangle. What is confusing in this part is that some triangles may be inside another triangle (e.g. 4 small triangles are inside the bigger triangle). 

This problem requires patience, time and accuracy in counting the triangles. Here are the figures. Count the triangles well. Good luck!
Figure 1

Figure 2

Figure 3

Do you think you correctly counted all the triangles in the figure?
Let me see how good are you at counting! Leave comments here for your answer in each figure.  

July 4, 2012

CURVES FORMED FROM STRAIGHT LINES


Series of straight lines could form a curve when the edges are smoothed out. It does not actually form the curve but approximates its form. The curve being formed is usually a parabola - that is why they sometimes call it as a parabolic curve. 

Let us discover how these curves are formed from the straight lines starting with the basics. 

What you need are:
1. paper (you can have a white paper or a colored paper of your choice)
2. pencil, marker or any colored writing material
3. ruler

STEP 1: The basic curve formation starts with two lines intersecting at a point. One is vertical and the other is horizontal. The lines resembles the positive x- and y- axes of the Cartesian plane that bound the first quadrant. 
STEP 2: Put dots or marks on the lines. Make sure that they have equal intervals. You may use the a rule to determine the intervals. Make sure also that there are equal number of dots for the two lines. The dots will be paired so there will be a dot left out if the number of dots are unequal.  
STEP 3: Pair the dots by connecting them using a line. Start with the uppermost dot in the vertical line paired with the leftmost dot in the horizontal line. You may also start with the rightmost dot of the horizontal line paired with the lowermost dot of the horizontal line. Any of these would yield to the same sets of lines. 
STEP 4: Continue with the same process until you paired all of the dots
The final output is this figure. Observe that a curve is approximated by the lines.

You may also use other colors for the set of lines.
You can also try combining the figures formed above like these:   
 You can also form figures like these:
 


The above figures used perpendicular lines. You can make the curve narrower by decreasing the angle being formed by the two lines. 

Aside from the perpendicular lines, you can also use other shapes or polygons like a square or a circle. You can try using a triangle, a pentagon, a hexagon and so on. 
                      
                 
I have tried combining the figures and formed this:
You can be creative in forming figures like this using the curves. Share it here after creating one. Have fun creating your work of art!

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