TUKLAS EXPLORE MATHEMATICS AROUND THE WORLD COUNTRIES AROUND PASSPORTS AND PAINT BY NUMBERS THE WORLD PERSONALITIES Surprising activity awaits! Spoiler alert: Colors involved!
TUKLAS: \"Tuklas\" is the Filipino word for \"Discover\" which means to travel in or through in order to ABOUT THE familiarize. TITLE Being human beings who are on the constant Words by: Trinity Bancoro lookout for something new, we are always Photographs by Mark Halberg yearning to see or do something better: to live through different experiences & learn about different qualities that make people distinct from one another. Tuklas is an ode to these: to every force that has driven us to escape our familial range of comfort: to go out there into the world & to realize how small we are in this otherwise infinite universe, and to know what it means to live. In this magazine, you will be comforted by the learning and understanding of new and familiar mathematical concepts. You will be amazed by how mathematics can be seen in the smallest objects, and you will wonder how many more things make more sense with it. Amidst all of these, I hope you are compelled to deviate from living life as you know it, and to employ complex mathematical concepts in living your best lives. Discover life. Discover you. Grab your passport as we go Around the World. This is Tuklas. GEMATMW GROUP #8
TUKLAS THANK YOU FOR CHOOSING TUKLAS AIRLINE JOURNEY WITH US 4 AROUND THE WORLD 1080 Minutes; 168 hours 8 Money, Money, Money 12 Travel from Home 16 Unravel Your Travel Charges 20 Paint by Numbers 24 See the Symmetry with Glee 26 Great Wall of Planning 32 Musee d' Art de Paris: Exclusive Tour 36 #SeoulSearching: Your Itinerary in Korea 38 Passports & Personalities Around the World 42 How Far Math Goes 46 7 Wonderful Decisions Around the World 50 Crossword: Countries Around the World 52 TUKLAS Tuklas On Board
BY: ALMENDRAL, RACHELL ANGELI 10,080 Minutes, 168 Hours, 7 Days, 1 Week. The week before your trip, the week where you prepare all your needed things, items, clothes, itinerary, passport and visa. You keep thinking that you don’t have any time to prepare everything that you need to since you still have work and other important errands. However you might think this, you do have time, you just need to plan it out properly. Planning out important tasks is crucial in any trip, especially before your trip because you tend to be flustered with everything you need to prepare.
Picture this, you have one week before your trip but you still have to prepare your itinerary, luggage, passport, money, visas, and on top of that, you still work in a company for 8 - 10 hours a day. Since you have a number of tasks to do before your flight, planning out your week before the flight would allow you to finish the needed tasks without worrying about not finishing the important tasks, and most importantly about not missing your flight. You can use simple math to plan out your week so that you can budget and manage your time properly.
Formula and Steps 1. Know how much time you have. 24 hours x N days = 168 hours 2. Calculate the time you spend on day-to-day activities. Hours spent per day per activity x 7 days = N 3. Budget the remaining time you have.
Real - life Example Know how much time you have. 24 hours x N days = 168 hours Calculate the time you spend for day-to-day activities. Budget the remaining time that you have After planning out your tasks and approximating the hours you would spend on the different tasks, you can efficiently plan out the tasks without missing anything. Have a nice flight and journey!
MONEY, MONEY, MONEY BY: KIRSTEN MEAGHANNE S. CHON “Money, Money, Money” is one of the best songs from the group ABBA talking about money in general. Money makes the world go round and if one does want to go around the world, money is one of the most important factors when preparing for travel. When going abroad, one of the first things one prepares for is calling the bank to tell them that you are going to another country in order to not worry them about hackers and such for suspicious activity.
MONEY, MONEY, MONEY Although cash is probably the best method for purchasing souvenirs and others that one may buy when visiting another country, other purchases are more suitable to be bought by credit. Using a credit card is easy but in another country, the cashier will most likely ask this specific question: “Would you like to pay with the local currency or your home currency?”. One may think that there’s not much difference between paying with the local currency or one’s home currency, but there certainly is. If you’re planning to save money while shopping, go for the local currency.
RECEIPTS OF GEOFFREY MORRISON It can be seen from this picture that there is a difference from paying through the local currency and one’s home currency. The receipts on the right and center are from the same place and the same day, but it can be noticed that the one on the right that it incorrectly states that there is no additional fees but you can see from the left receipt that the conversion of 5.6 euros to dollars is $7.95, on the other hand, the receipt on the right is supposed to pay for 6 Euros but it charged the payer with $14.45 which is a lot more than what it should have been.
Every country has their own currencies, and therefore haveFOREIGN TRANSACTION FEES different conversion rates. Some banks charge foreign transaction fees that are added when using credit cards in a DYNAMIC CURRENCY different country and paying through your home currency. CONVERSION (DCC) These fees amount to about 1.5%-3% of the whole transaction. To avoid paying for a bigger amount for foreign transaction fees, make sure to choose a card that does not add foreign transaction fees such as travel credit cards, which are specifically for that purpose, such as the Capital One Venture Rewards Credit Card. A Dynamic Currency Conversion (DCC) is a conversion fee that is charged to the payer by their credit card provider when the payer chooses to pay with their home currency. This type of conversion fee usually has a higher rate compared to a standard conversion rate. THE BOTTOM LINE: ALWAYS GO LOCAL.
BY: CAIG, AALIYAH BEATRIZ I. Travel vlogs (W) Thank God it’s Friday! Friday nights are your scheduled bonding nights with your whole family. You and your sibling are always tasked to decide on what activity you should do. Given the current pandemic, you both miss traveling so much to the point that both your suggested activities are in line with travel. Your sibling wanted to watch several travel vlogs (W) while you badly wanted to try out playing the Monopoly Here & Now: The World Edition (P). Monopoly Here & Now: The World Edition (P).
As you can see, you and your sibling can only either watch travel vlogs or play monopoly, since you can’t do different activities at the same time, that is why two pairs from the table are both zeroes. Now, let’s take a look at you and your sibling’s maximin strategies. From these tables, it can be inferred that the maximin strategy does not exist because the strategies are limited to one decision only, resulting in no maximin solution. Thus, the decision is really up to you and your sibling! No matter what you choose, I am beyond sure that you will have a splendid night because you will be surrounded by the warmth of your loved ones.
Now that we are currently living with lots of limitations and restrictions due to the pandemic, we have to make the most out of what we have. Indeed, we all miss the feeling of riding an airplane and arriving at our dream destination. However, let us not make our current situation a hindrance to dream and reminisce about the old normal lives we had because we can still do the things we did before by thinking of alternatives.
We can all achieve our childhood dream of traveling around the world in just one day through the suggested activities earlier. Although you can’t travel the world during these trying times, you can still feel and relive that traveler vibe you are longing for with your whole family in the comfort and safety of your own homes. At the end of the day, no matter if you watch travel vlogs or play monopoly, what matters the most is the bond you create with your family.
AIRPORT UNRAVEL your travel charges BY: DANIELLE ILAGAN A travel plan isn’t complete without the travel funds. But what if you’re short in cash? Will you give up on a possible memorable and life-changing travel experience or will you get a loan to fund that travel plan you’ve always wanted? In this article, we’ll learn how to unravel the totality of your travel charges by calculating the interest you owe when you borrow funds for your traveling expenses so that you can prepare for immediate payments right after your travels. After all, you can’t enjoy your journey around the world when you’re constantly thinking about making the right amount of payments. What is interest? Interest is the monetary charge of a loan balance or deposit paid to the lender periodically for the privilege of using their money. When borrowing money, the borrower needs to compensate the lender for the risk of lending monetary funds to them and the opportunity cost. In short, the borrower will pay the borrowed amount with additional interest. When lending money, the lender may lend it to a borrower. Another way that a lender may use is to deposit the funds in a savings account, letting the bank lend it out or invest funds in exchange for earning interest (Brock & Pritchard, 2020). The amount you pay or earn in interest depends on the following (Brock & Pritchard, 2020): The interest rate The amount of the loan Length of payment There are two main types of interest that can be applied to loans, simple and compound, and they are typically expressed as a percentage (Chen, 2020; Khartit & Nickolas, 2021). Simple interest is an interest that does not compound and is calculated on the principal amount of a loan or a deposit (Khartit & Nickolas, 2021). It is calculated using the formula in the next page --->
unravel Examples of simple interest and compound interest In contrast, compound interest is the addition of interest to the principal sum of a loan or deposit or, SIMPLE INTEREST WHEN in short, interest on the interest (Khartit & BORROWING MONEY Nickolas, 2021). It is calculated by using either of the formulas given: Andrea wants to go on a vacation to Paris, France for three days. However, she is quite short on funds especially when it comes to providing her necessities when she’s on the trip. After several calculations, she concludes that she needs to borrow an amount of Php 40,000 to secure her dream vacation in the City of Love. She decides to ask her mother to lend her money, and she agrees to it as a four-month, non-compounding loan with a 3% annual interest rate. What is Andrea’s total interest expense? Andrea, therefore, has a total interest expense of Php 2,400 to her mother.
SIMPLE INTEREST WHEN LENDING MONEY Shirley was asked by Barry to lend him some money to use for his 7-day trip to Boracay. The amount that Barry was asking her was a three year, non-compounding loan of Php 50,000 with an annual interest rate of 4%. Shirley disagreed with the suggested annual interest rate and she told him to multiply it by two, to which Barry reluctantly agreed since he needed the money. Based on the situation, how much interest will Shirley earn in this transaction? Shirley will earn an interest of Php 12,000 in this transaction with Barry.
COMPOUND INTEREST WHEN LOANING Continuing with the given example in Simple Interest when lending money, Barry needs to borrow an additional Php 70,000 for three years. Unfortunately, Shirley refused since she needed her money at the time. Barry then decided on taking a loan from the bank at an interest rate of 6% per year compounded annually, with the full loan amount and interest payable after three years. What would be the total interest paid by Barry? The total interest to be paid by Barry in the bank is Php 9,550.80. COMPOUND INTEREST WHEN DEPOSITING Josh decided on depositing his travel funds of Php 100,000 instead of using it. It was deposited at an annual interest rate of 5% and is compounded monthly. What will be the value of the investment after 7 years? The value of Josh’s investment after 7 years will be Php 70, 901.80.
tniaPby numbers What is it about: In this part, the audience will be able to express their creativity through colors. Symbols of the 7 Wonders of the World will be outlined in black, and the readers will paint the numbered white spaces in between them in accordance with the color legend. CHRIST THE REDEEMER AT RIO DE JANEIRO, BRAZIL
EL CASTILLO AT CHICHÉN ITZÁ, MÉXICO GREAT WALL OF CHINA AT BEIJING, CHINA
EL CASTILLO AT CHICHÉN ITZÁ, MÉXICO TAJ MAHAL AT AGRA, INDIA
THE KHAZNAH (“TREASURY”) AT PETRA, JORDAN THE COLOSSEUM AT ROME
Mathematics is evident around us. It can be seen in the Museu do Amanhã, Gustavo Xavier structure of a building, in a visual artwork, or basically in any objects we create. It is also present in the nature and landscapes that surround us. Let’s have a look in the online exhibit entitled “The Hidden Beauty of Mathematics” created by Museu do Amanhã located in Rio de Janeiro where the concept of symmetry is elegantly expressed in different kinds of art forms and in nature itself. Here, we’ll understand and appreciate the symmetrical patterns evident in everything that we see and create, and the beauty of the fusion of mathematics, nature, and arts in our lives. Let us first have a brief understanding of a principle of design called Balance. Balance is the arrangement of elements to create an equal distribution of visual weight throughout a composition, making its individual parts appear equally important (Issaquah Schools Foundation, n.d.). Symmetry commonly refers to a sense of harmonious and appealing proportion and balance. In art, however, it is a formal type of balance consisting of a mirroring of portions of an image (Mittman, n.d.). Also known as symmetrical balance, this is achieved by the arrangement of elements on both sides of the centerline, meaning the work of art is the same on one side as the other, formed through horizontal or vertical division. This concept is best suited in artworks if an artist desires to put an effect of consistency, order, and stability (Pantelić, 2016). Though symmetrical balance is most often used by artists, most of them look towards the slight shifts in asymmetry, biaxial symmetry, inverted symmetry, near symmetry, and radial symmetry to have focus on one particular element or part within a composition. Symmetry is evident in different kinds of art forms including architecture. Multiple aspects of architecture present the concept of symmetry, one of which is the external views of the structure of buildings. An example of this is the structure of Museu do Amanhã itself. Spanish architect Santiago Calatrava has a unique way of playing with lines, curves, and open spaces, and Museu do Amanhã is one of his projects which is evident of his style (Writers, 2017). The museum, taking up 135,625 square feet of space, has a cantilevering roof evident of symmetry. The large mobile wings and facade structure of the roof extend almost to the full length of the pier, emphasizing the extension into the Guanabara bay while minimizing the building’s width (Architect Magazine, 2016).
Ceiling of Lotfollah Mosque in Isfahan, Iran, Phillip Symmetry is also evident in the designs of building elements such as tile mosaics or the arabesque Maiwald patterns (Pantelić, 2016). Two examples of such is presented in the aforementioned online exhibit, When there is “harmony in proportions,” meaning the one is a photograph of the ceiling of the Lotfollah balance of height, length, and width, then an artwork or mosque in Isfahan, Iran taken by Phillip Maiwald object is deemed symmetrical. In Ancient Greece, the and another is a photo of the interior of the word or concept of “symmetry” did not exist Greek mosque presenting several rooms with diverse vocabulary in the days of Plato, however, it was already symmetrical motifs taken by Masih khosravi developing. The Greek noun “summetria,” which means Dehkordi. “of the same size” in the English language, was being utilized to refer to \"proportion.” Proportion is fundamental in the aesthetic of art, guiding composition, design, and form. In Mathematics, it is the observance of ratios. Ratios connect parts of a design as a whole whether these be canons of human proportion, architectural design, or symbols and letter fonts (Schattschneider, 2003). Symmetry in Nature: other forms of symmetry are evident in nature such as bilateral symmetry and radial symmetry. Bilateral symmetry is in which two halves of an object or composition are completely identical, and examples of it are the reflection of an image in a lake and in the growth of plants such as ferns (Rodrigues, 2018). Radial symmetry is a symmetry wherein the sides of an object exhibit correspondence or regularity of parts around its central axis. In contrast to bilateral symmetry, it is lacking left and right sides but you are able to cut the object several times and still get equal parts (Biology Online, 2021; Rodrigues, 2018). It is evident in several flora, mostly flowers, and in other products of nature such as pines.
BY: KIRSTEN MEAGHANNE S. CHON Travelling for leisure is one of the best ways to experience the beauty of the world. If only it was as easy as buying an airplane ticket and flying off. Travelling without a plan is one way to go but travelling with companions, it’s pretty hard to not have an itinerary. Divide and conquer as Juliss Cesar once said is the way to go when planning for a trip with friends. Dividing tasks can increase efficiencyz which can make their goal of acquiring the perfect itinerary quicker as well as build a bonding moment for the whole group. The first step to planning is to know what to plan for but the second step is to assign for the job. Assigning is usually hard to do because one may want to do a specific task, but with the Assignment Method, everything can work out with the best efficiency.
A group of friends just finished graduating from senior high school and are planning to travel to China for two weeks. You guys are planning to go to three (3) destinations in China, which are Beijing, Shanghai, and Xi’an. There are five (5) tasks to complete the itinerary — (1) research and booking of airline tickets, (2) research famous places to in Beijing, Shanghai, and Xi’an, (3) research and reservations of hotels, (4) research the best eating places in Beijing, Shanghai, and Xi’an, (5) Research on transportation on site. Each person has their preference in doing tasks and it may affect the efficiency of doing certain tasks. The object of the Assignment method is to see whether who is the most suited for a certain task results in the least amount of time for planning.
STEP 1WHAT YOU DO Create a table to see the amount of days someone needs to finish a certain task. The table can be said to be balanced for the number of people and tasks are equal. Conduct Row Reduction, wherein, you encircle the lowest value in every row and then subtract it from every number from that same row. The table bellow is the result after row reduction STEP 2
Conduct Column Reduction, wherein, you encircle the lowest STEP 3 value in every column and then subtract it from every number from that same column. The table below is the result after both Row and Column Reduction Cross out the rows or columns starting with the most zeroes to least and if the lines made from crossing out the zeroes are equal to the number of rows or columns, then there is no need to have further reduction. STEP 4
STEP 5Assign the Tasks This table shows the zeroes present in every row for each person. Person C will get task (1) while Person D will get task (5) for they are the only ones who have it. Person A will get task (3), Person B will get task (2), while Person E will get task (4)
With that, everyone is now assigned to their own tasks! Last thing to do is to inform everyone of their tasks and the trip will be there in just a blink of an 享受eye! Enjoy! ! Well, that may not have been a fun process, but what comes next will surely be great! This handy method is just the thing you need for successful travels. You’re one step closer to that dream vacation! So what are you waiting for?
EXCLUSIVE TOUR Art is not just meant to be seen. More than that, it is meant to be engraved to the minds of the people it encounters. With the constant bickering between art on its technical best and art as a mere escape, it still captures the essence of disturbing the comfortable and comforting the disturbed. In this article, we are going to discover the mathematical concepts behind brilliant pieces of art that have been either celebrated by generations or have just been introduced to the modern eye. Welcome to the Museo d’ Art de Paris! Today, we are going to learn about how mathematics and art empathize with each other, and how the aggregate computations involved may help people appreciate the beauty in complexity.
TUKLAS Bienvenue to presentoir numeró one! Golden ratio is the proportion given by the numerical value: r = (1 + 51/2) / 2 = 1.6180··· , or (1 / r) = (51/2 − 1) / 2 = 0.6180···. It is frequently believed that in the \"Vitruvian Man\", the ratio of the radius of the circle to the side length of the square which is illustrated by the tallness of the man is given by the golden ratio. In this standardized picture in which the range of the circle has been assessed, improvised by a slight change, where the figure supposed to be a square by da Vinci was acclimated to produce a shape that is similar to square by directly planning the picture with Adobe Photoshop with the necessary linear mapping (History Staff, 2019). The ratio was estimated at 0.606 ∼ 0.609, which is significantly smaller than the golden ratio 0.618.
IN KANDINSKY'S EYES Bienvenue to presentoir numeró two. Elevating the concepts into arts that involve abstract, welcome to the part of the Musee d’ Art Moderne de Paris where the abstract paintings are celebrated: Modern Art is a rich field for works of art that are involved with complex contemporary computations. For instance, the infamous Russian artist Wassily Kandinsky has integrated his abstract works of art to mathematical concepts and manifestations. Ultimately, geometry, in particular, is an important element in the masterpieces of these artists. More than that, Kandinsky was extremely inclined to the fusion of geometric abstraction and creative potential outcomes. In most of his accomplishments, Kandinsky has notably utilized different geometric concepts such as concentric circles, open and closed lines, triangles, angles, and so on, as can be seen in the artwork.
ATTIC | JANUARY 2016 18 We know that art can be interpreted in a KINETIC ART variety of ways, and it’s amazing how IN TOWNLEY'S EYES the development of art deviated from Life is constantly evolving. This process allows people to adapt as the traditional sense to what is now a 3- human beings and this occurrence defines the past, the present, and the dimensional masterpiece that exceeds future. Change is necessary not only to improve existing practices and all anticipation for innovation. This disprove misconceptions, it is also a pathway into discovering brand new kinetic work of art is made by Jennifer awe-inspiring methods of life and living in it. Townley, where she made use of the I hope you had fun touring Musee emphasis of engineering and d’Art Moderne de Paris and learning about the fusion of art and mathematics in order to invent a mathematics. Never stop learning and exploring. visually appealing piece that illustrates AU REVOIR! an infinite repetition of lines and figures that harmonize with each other perfectly. The concept of infinity was truly encapsulated by the regularity and obedience that this mechanical machine runs on. It conveys a feeling of consistency, orderliness, and equilibrium and it is amazing how all of these emotions are captivated by how a machine can convert a simple circular motion (rotary engine) into a very complicated nonlinear or chaotic movement pattern. (It literally moves)
KOREA #SeoulSearching: Your Itinerary in Korea BY: CHARY VILLANUEVA Crash Landing on You, Goblin, Descendants of the Sun, and many more K-dramas. These Korean Novelas might have inspired you to go to Korea and witness in person the filming locations of your favorites! In order to have a fruitful journey, it is essential to plan an itinerary or book a tour before travelling. However, it is undeniable that in travelling, it is hard to plan one’s itinerary. It requires rigorous searching and asking given that you are not familiar to the place.
Suppose, you are bound to travel in After calculating the costs, your trip to South Korea and you want to know Seoul costs $400 which comprises 5 how much would it cost if you go to tourist spots and 2 restaurants. On the Seoul and Jeju Island whilst knowing other hand, your trip to Jeju costs $300 how many days you must allot for which comprises 6 tourists spots and 2 your travel in Seoul and Jeju Island restaurants. Given a minimum of 12 separately. Moving forward, since tourist spots and 5 restaurants which you want to become an independent you can go to according to a website traveler who has control over time, you searched on, let us calculate, graph, places to eat, and other factors, you and discover the cost and number of refused to book a tour and planned days of your travel! the itinerary by yourself. Decision variables: x = # of days in Seoul y = # of day in Jeju Island Cost = 400x + 300y Constraints: 5x + 2y >= 12 6x + 2y >= 5 x >= 0 y >= 0
From which country do you relate to the most? Choose one passport you like best and we'll reveal the common personalities you share with the people from that country!
Note: *the map is inaccurate and it serves for aesthetic purposes only*
HAVE YOU CHOSEN YOUR PASSPORT? HERE'S THE TRAITS
THAT YOU SHARE WITH THEIR CITIZENS!
HAWAII HAVE YOU EVER BY: AALIYAH CAIG QUESTIONED HOW YOU CAN APPLY MATH LESSONS IN YOUR EVERYDAY LIFE? Sometimes, I wonder where numbers are incorporated besides money and engineering. However, it is not common knowledge that everything around us is guided by Mathematical concepts. So, how far does Math go? Growing up, I have always been so fascinated by living the Island Girl life. It must be exhilarating to wake up to the sound of the beach waves, feel the island breeze, and watch breathtaking sceneries. To fulfill thata longtime dream of mine, traveling to Hawaii is included in my bucket list! According to Keoni (2017), Hawaii is a beautiful tropical vacation hot spot unlike any other in the world because there are vast reasons for travelers to enjoy such as its glamorous white sandy beaches, its majestic mountains and steep valleys, and its city life. In my case, I long to journey through the majestic seashores of the picturesque beaches in Hawaii and appreciate its scattered seashells.
Indeed, travelers often visit Hawaii for its phenomenal sceneries, splendid beaches, and unforgettable vibe. But, little did they know that as they discover the beauty of the island life and feel the aloha spirit, the sceneries they admire are surrounded by mathematical concepts. Let’s take seashells as an example. Did you know that along with the delicate and mysterious beauty of seashells come mathematical models within nature? To be specific, the shape of the nautilus and other spiraling shells follows a pattern called the Fibonacci sequence. Keiren (2020) explained that the Fibonacci sequence, introduced by Leonardo of Pisa, is recursive, generated by adding the two previous numbers in the sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987… Keiren further added that if you were to draw a line starting in the right bottom corner of a golden rectangle within the first square and then touch each succeeding multiple squares outside corners, you would create a Fibonacci spiral as seen in the illustration. As you can notice, the numbers in the spiral are those from the sequence mentioned above.
Truly, a nautilus seashell follows the Fibonacci sequence. It is amazing how Mathematics is seen in Nature and Arts given that it seems to be a strange pairing at first sight. Initially, we only view Mathematics as a concept that revolves around logical and comprehensive ideas but in reality, everything that surrounds us including the things we admire such as nature and the arts have integrations with it. With that, may we not grasp the idea that Mathematics is a boring and intimidating subject we learn at school because Mathematics offers artistry and delicacy beyond what our eyes can perceive and what our minds can comprehend.
At this point, I just can’t wait to travel to Hawaii and take a closer look at the seashells beautifully scattered in the seashores! The next time you travel, remember to observe your surroundings keenly because you never know when a Mathematics lesson pops up. Remember, just like how Moana worked hard to see her fullest potential, no one will know how far Mathematics goes until it is discovered.
GEMATW BY: CHARY VILLANUEVA To travel the whole world is one of my dreams in life. Even though I have acrophobia, it is surprising how this fear of mine instantaneously disappears whenever I ride a plane. Also, as an ambivert who is in between being introvert and extrovert, I am also becoming a hundred percent extrovert when I travel. I ask questions with enthusiasm, listen to tour guides, and understand the history behind the places with sincerity. In fact, my heart beats for eating new dishes, experiencing various cultures, and meeting diversified people in different countries and places. To track one’s progress of being a wanderlust, a checklist of places you have wandered seems to be always present. For me, my checklist is the 7 Wonders of the World 2021 which are elaborated by Millar, A. (2021):
THE NAZCA LINES, PERU WILDEBEEST MIGRATION, KENYA ARCHES NATIONAL PARK, UTAH MOUNT FUJI, JAPAN LAYOUT BY: T BANCORO HADRON COLLIDER, SWITZERLAND AMAZON RAINFOREST, BRAZIL CALLANISH STONES, SCOTLAND To integrate Mathematics in this area, I conducted a simple survey to obtain knowledge about other people’s preferences over these places. next page
JAPAN I asked 15 respondents to rank the 7 Wonders based on what is the most beautiful place for them: 1 as the highest while 7 as the lowest. After tabulating all the responses, I have arrived at this preference table: Written by Chary Villanueva. Photos by Lee Min-Han. Using the plurality method: Using the Majority Voting Method: A = 0, B = 0 A = 0, B = 0 C = 0, D = 10 C = 0, D = 10 E = 0, F = 4 E = 0, F = 4 G=1 G=1 The plurality method winner is The majority method winner is Mount Mount Fuji, Japan, gaining 14 total Fuji, Japan, gaining 14 total first-place votes which is beyond 7.5, that is half first place votes. of the number of voters.
NNNNNN A = 8 + 0 + 2 + 3 = 13 B = 16 + 4 + 4 + 4 = 28 C = 24 + 12 + 0 + 2 = 38 D = 48 + 20 + 12 + 5 = 85 E = 0 + 8 + 6 + 0 = 14 F = 40 + 24 + 8 + 1 = 73 G = 32 + 16 + 10 + 6 = 64 Given this result, the Borda Count Winner is still Mount Fuji in Japan with a total of 85 points. With these computations, Mount Fuji in Japan seems like the Most Beautiful among the 7 Wonders based on the voters’ preferences. Surely, it is a must to travel to that place even alone, with friends, or family!
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