NO. 1: THE AXIOM PROJECT
RYAN
PHP 200
ROHIL
ISABEL
AXIOM MURILLO
PASCUAL
ROSALES
MATH IN THE MODERN WORLD
THE AXIOM PROJECT /AK-SEE-UHM/
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THE AXIOM PROJECT AXIOM /AK-SEE-UHM/
NOUN. A UNIVERSALLY ACCEPTED RULE.
THE AXIOM PROJECT IS A NEW HYBRID OF TEXTBOOK FIT FOR THE MODERN WORLD. IT IAMS TO ADDRESS THE SAME OLD NEED TO EDUCATE, BUT WITH A VISIAL TWIST TO APPEAL TO MODERN DAY DEMANDS. WITH THE DWINDLING ATTENTION SPAN OF THE YOUTH, IT'S ABOUT TIME A DIFFERENT APPROACH IS TAKEN.
REINVENT MATHEMATICS.
A BOOK FIT FOR AND ACCEPTED BY ALL.
ISABEL ROSALES 11838685
ROHIL PASCUAL
THEY ARE FIRST YEAR STUDENTS OF THE DE LA SALLE - COLLEGE OF SAINT BENILDE, SCHOOL OF DESIGN AND ARTS, STUDYING IN THE BACHELOR OF SCIENCE IN ARCHITECTURE DEGREE PROGRAM.
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MEET THE THREE CREATIVE MINDS BEHIND THIS BOOK
RYAN MURILLO
A B O U T T H E C R E A T O R S
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TABLE OF CONTE TABLE OF CONTENTS
DON'T FORGET TO LOOK OUT FOR SECRET MESSAGES YOU CAN DECODE.
CHAPTER ONE: FIBONACCI SEQUENCE AND GOLDEN RATIO.............................................08
CHAPTER TWO: PATTERNS AND ISOMETRIES........................................................22
CHAPTER THREE: STOCKS & BONDS........................40
CRYPTOGRAMS: BONUS.........................................52
INDEX................................................................60
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ENTS NTS
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01
FIBONACCI & GOLDEN RATIO
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OBIF OOIITTAARR NNEEDDLLOOGG && IICCCCAANNO B I F O B I F OOIITTAARR NNEEDDLLOOGG && IICCCCAANNO B I F OITAR NEDLOG & ICCANOBIF O B I F OOIITTAARR NNEEDDLLOOGG && IICCCCAANNO B I F OITAR NEDLOG & ICCANOBIF OBIF OOIITTAARR NNEEDDLLOOGG && IICCCCAANNO B I F OITAR NEDLOG & ICCANOBIF
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THAT MATHEMATICS CAN BE SEEN IN NATURE, ART & HUMAN CREATIONS.
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PROOF
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FIBONACCI SEQUENCE NAMED AFTER LEONARDO OF PISA WHO OBSERVED THE PATTERN WHILE INVESTIGATING HOW FAST RABBITS CAN BREED.
F F F
HOW TO GET THE FIBONACCI SEQUENCE:
= + N N-1 N-2 ADD THE PREVIOUS TWO NUMBERS TO GET THE NEXT ONE
THE FIBONACCI NUMBERS
2 3 5 13 21 55 89 144 ...
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1Â 1 8 34
THE FIBONACCI NUMBERS
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IT CAN BE FOUND IN NATURE...
FIBONACCI SEQUENCES IN THE WORLD
IN ART...
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AND IN ANIMALS.
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33333
GOLDEN RATIO GOLDEN RATIO SHOWS UP EVERYWHERE, AS WELL, ESPECIALLY IN ART. ITS PERFECT RATIO IS WHAT GIVES THINGS THAT AESTHETIC APPEAL. THIS STRATEGY IS ALSO USED IN MANUFACTURING CREDIT CARDS. IT'S SO APPEALING TO LOOK AT THAT IT ENCOURAGES YOU TO USE IT TO SHOP. THE SAME CONCEPT IS FOLLOWED IN THE RULE OF THIRDS.
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G THIRDS
RULE OF THIRDS THE RULE OF THIRDS MAKES PHOTOGRAPHS MORE VISUALLY APPEALING. IT IS DONE BY FOLLOWING A GRID OF THREES. THE BEST WAY TO USE IT IS BY FOCUSING THE SUBJECT EITHER IN BETWEEN THE PARALLEL LINES OR RIGHT ON THE INTERSECTIONS. THIS MAY BE DONE USING ANY CAMERA, PHONE CAMERAS INCLUDED.
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EXAMPLES.
THE IMAGE WAS CENTERED PRECISELY
BOTH WALLS ARE PLACED RIGHT ON THE INTERSECTIONS AND THE OPENING IN THE MIDDLE IS FOCUSED IN THE SPACE IN BETWEEN
THE IMAGE WAS CENTERED PRECISELY
THE HIGHLIGHT OR SUBJECT (GIRL) WAS POSITIONED RIGHT ON THE RIGHT INTERSECTIONS
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ACTIVITY CARD ATTACHED HERE
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ARTICLE
GOLDEN RATIO VS. THE RULE OF THIRDS
COMPOSITION IS VERY ESSENTIAL IN THE ART OF PHOTOGRAPHY. IT GIVES AN IMAGE ITS PLEASANCE AND BALANCE. THESE ARE LIKE GUIDELINES WHICH YOU FOLLOW SO YOU COULDN'T EVER GO WRONG, EVEN IF YOU'RE JUST A BEGINNER. I'M SURE THAT MOST PEOPLE WHO TAKE PHOTOS OF THEIR FRIENDS WITH THEIR PHONES HAS SEEN GRIDS ON THEIR CAMERA AND KNOW ITS PURPOSE. IF NOT, THEN TOO BAD.
BUT DOES BEING COMMON CORRELATE TO BEING MORE USEFUL? TARA LONG OF DISCOVERY CHANNEL NEWS COMPARES WHICH COMPOSITION TECHNIQUE IS BETTER TO USE IN PHOTOGRAPHY: RULE OF THIRDS OR THE GOLDEN RATIO? CHECK OUT THE QR CODE TO FIND OUT WHICH ONE WINS!
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JUST KIDDING. THESE ARE USED FOR COMPOSITION TECHNIQUES. THE MOST COMMON COMPOSITION TECHNIQUE USED IS THE RULE OF THIRDS. IT BASICALLY USES THREE ROWS AND COLUMNS WHERE YOU SET YOUR FOCUSED OBJECT IN BETWEEN THE LINES OR ON THE INTERSECTIONS THUS, RULE OF THIRDS.
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PATTERNS AND ISOMETRIES
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MOSI DNA SNRETTAP SSEEIIRRTTEEM O S I D N A S N R E T T A P M O S I D N A S N R E T T A P SSEEIIRRTTEEM O S I D N A S N R E T T A P SEIRTEMOSI DNA SNRETTAP M O S I D N A S N R E T T A P SSEEIIRRTTEEM O S I D N A S N R E T T A P SEIRTEMOSI DNA SNRETTAP MOSI DNA SNRETTAP SSEEIIRRTTEEM O S I D N A S N R E T T A P
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MA TH
IS A S TUDY
OF
PATTERNS
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ISOMETRY SPECIAL TRANSFORMATIONS THAT LEAVES THE DIMENSIONS OF THE OBJECT UNCHANGED.
TRANSFORMATIONS TRANSLATION SLIDE
REFLECTION FLIP
TURN ROTATION
RESIZE DILATION -
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INSTRUCTION MANUAL. START WITH A BASIC SHAPE.
CUT A PART OUT AND ADD IT ACROSS THAT.
TRANSLATE YOUR MOTIF AS YOU WISH
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YOU MAY ALSO CREATE YOUR OWN TESSELLATION ART USING PAPER. JUST FOLLOW THIS VIDEO:
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COLOR YOUR O
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WN WALLPAPER:
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ENJOY THESE TESSELLATIONS MADE BY THE CREATORS. YOU MAY TEAR THEM OUT TO KEEP. USE THEM WELL.
DOWNLOAD HERE:
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DOWNLOAD HERE:
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LESS THAN 5% OF OUR OCEANS HAVE BEEN EXPLORED
DOWNLOAD HERE:
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DOWNLOAD HERE:
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DD NN AA DD NN AA DNA DD NN AA DNA DD NN AA
OTS SS KK CC O T S O T S SS KK CC O T S SKCOTS O T S SS KK CC O T S SKCOTS OTS SS KK CC O T S
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STOCKS AND BONDS
OB SS DD NN O B O B SS DD NN O B SDNOB O B SS DD NN O B SDNOB OB SS DD NN O B
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THERE IS A FINE LINE BETWEEN OWNERSHIP AND CONTROL. THEY ARE NOT THE SAME. WHEN YOU PURCHASE A STOCK, YOU OWN THAT SHARE HOWEVER, YOU DO NOT OWN THE COMPANY. THEREFORE, YOU DO NOT GET TO MAKE DECISIONS FOR THEM.
STOCKS ARE THE SHARES ISSUED BY A CORPORATION.
STOCKS
EQUITY IS WHAT YOU CALL THE SHARES OF STOCKS.
EQUITY
TERMINOLOGIES
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DEFINITIONS
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COMMON STOCKHOLDERS GET TO VOTE IN THE COMPANY, UNLIKE THE PREFERRED STOCK HOLDERS. THE CATCH IS, THEY GET PAID THEIR DIVIDENDS FROM THE COMPANY'S INCOME LAST.
COMMON STOCK
PREFERRED STOCKHOLDERS DO NOT RECEIVE VOTING RIGHTS HOWEVER, THEY ARE THE ONES WHO HAVE PRIORITY OVER A COMPANY'S INCOME. THEY GET PAID THE DIVIDENDS FIRST.
PREFERRED STOCK
TYPES
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BULL MARKET
A POSITIVE SIGN. MEANING MAJORITY OF INVESTORS ARE BUYING STOCKS, THUS INCREASING THE PRICE.
OPPOSITE OF A BULL MARKET. PESSIMISTIC. SHOWS THAT MAJORITY OF INVESTORS ARE SELLING STOCKS, THUS DECREASING PRICE
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BEAR MARKET
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SELLING?
IT IS RECOMMENDED TO SELL STOCKS WHILE THE PRICES ARE STILL HIGH (BULLISH MARKET). THIS WAY, YOU'LL BE ABLE TO GET GOOD VALUE.
STOCKS 101
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BUYING? ON THE OTHER HAND, IT IS RECOMMENDED TO BUY STOCKS WHILE THE PRICES ARE LOW. (BEARISH MARKET)
STOCKS 101
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DON'T BE INFLUENCED BY SMALL CHANGES THIS IS TO ENSURE THAT YOU DO FIND THE HIGHEST PRICE TO SELL AND THE LOWEST TO BUY A STOCK.
BUY WHEN YOU KNOW MORE THAN THE MARKET
TIPS
MAKE SURE THAT YOU KNOW A LOT OR ENOUGH ABOUT THE COMPANY YOU'RE ABOUT TO INVEST IN. NO ONE WANTS THEIR INVESTMENT TO GO TO WASTE.
DETERMINE: STOP POINT AND PROFIT TARGET HAVE A GOAL AND DON'T LOSE SIGHT OF IT. KNOW WHEN TO STOP AND WHEN YOU HAVE ENOUGH. IT'S NOT GAMBLING
DON'T LET EMOTIONS GET IN THE WAY DON'T BE A SHEEP WHO JUST FOLLOWS THE CROWD. DON'T SELL JUST BECAUSE EVERYONE ELSE IS. NO TO PANIC BUYING OR SELLING. STICK TO YOUR PLAN. FOR MORE TIPS AND TRICKS REGARDING THE STOCK MARKET, WE RECOMMEND THIS GOOD READ:
STOCKS 101
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THE PHILIPPINE STOCK EXCHANGE INDEX
THIS IS THE CURRENT STOCK MARKET OF THE PHILIPPINES. YOU MAY CHECK IT OUT TO SEE THE STOCK MOVEMENTS YOURSELF:
STOCKS 101
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ADDITIONAL SOURCES FEEL FREE TO BROWSE
BULL AND BEAR
STOCKS & BONDS
STOCKS & BONDS
STOCKS & BONDS
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INVESTAGRAM
IF YOU ARE INTERESTED, YOU MAY PRACTICE BUYING AND SELLING STOCKS THROUGH INVESTIGRAM. THE STOCK MARKET IS REAL BUT YOUR MONEY ISN'T. IT'S A GOOD START.
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C
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C
CRYPTOGRAMS.
A MORE IN DEPTH DISCUSSION OF THE HIDDEN MESSAGES YOU'VE BEEN TRYING TO DECODE. YES, IT IS MATH.
CRYPTOGRAMS.
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CRYPTO
CIPHERS HAVE BEEN AROUND FOR THE LONGEST TIME. IT IS USED TO HIDE MESSAGES BETWEEN SENDERS AND USUALLY, THEY ARE THE ONLY ONES WHO'D KNOW HOW TO DECODE IT. THAT'S NOT THE CASE NOW, THOUGH.
THE CIPHER BEING USED NOWADAYS, AND IS CURRENTLY THE HARDEST TO BREAK, IS CALLED THE RSA CRYPTOSYSTEM. THIS IS WHAT OUR SOCIAL MEDIA COMPANIES USE TO HIDE OUR PASSWORDS.
CIPHERS WERE COMMONLY USED FOR SECRET WAR MESSAGES AND PLANS. EVEN JULIUS CEASAR HIMSELF USED HIS OWN CIPHER TO COMMUNICATE WITH HIS SOLDIERS.
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GRAMS.
YOUR TONGUE RESTS AT THE TOP OF YOUR MOUTH, NOT THE BOTTOM. YOU CAN REMOVE ANY ONE LETTER FRMO "SEAT" AND STILL END UP WITH A REAL WORD. TO GO TO SLEEP, YOU HAVE TO PRETENDTO BE ASLEEP, UNTIL YOU ACTUALLY FALL ASLEEP.
DECODE THIS. 55
?????
THERE IS NO PROOF THAT EVERYONE SEES THE SAME COLORS. THE ALPHABET IS A RANDOM ORDER THAT EVERYON EAGREED IS IN ORDER.
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?????
RE IS NO PROOF THAT EVERYONE SEES THE SAME COLORS. THERE IS NO PROOF THAT EVERYONE SEES THE SAME COLORS.
SHEET HERE CIPHER PIGPEN 57
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SHIFT CIPHER
TO USE THE SHIFT CIPHER, SIMPLY SHIFT THE ALPHABET TO THE LEFT OR TO THE RIGHT, FOLLOWING THE GIVEN KEY NUMBER. ABCDEFGHIJKLMNOPQRSTUVWXYZ DEFGHIJKLMNOPQRSTUVWXYZABC
SUBSTITUTION CIPHER
SIMILAR TO THE SHIFT CIPHER, YOU REPLACE THE OLD LETTER WITH A NEW ONE FROM A SHUFFLED ALPHABET, FOLLOWING A GIVEN KEY.
TRANSPOSITION CIPHER TRANSPOSITION CIPHER KEEPS THE IDENTITY OF THE LETTERS THE SAME HOWEVER, IT MOVES ITS ORDER AROUND. FOREXAMPLE ELPMAXEROF
VIGENERE CIPHER THIS IS HARDER TO CRACK THAN THE PREVIOUS. TO USE THE VIGENERE CIPHER, YOU MUST FOLLOW THE FOLLOWING STEPS: PLAIN TEXT --> X (CORRESPONDING NUMBER TO LETTER) --> KEYSTREAM (USING THE GIVEN KEY WORD) --> ADD THE PREVIOUS TWO --> CIPHER
RSA CRYPTOSYSTEM
RSA CRYPTOSYSTEM IS THE CIPHER SYSTEM BEING USED TO PRESENT DAY. IT IS PRACTICALLY IMPOSSIBLE TO CRACK, EVEN FOR A MACHINE.
OTHER CIPHERS.
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WITHOUT MATHEMATICS, THERE'S NOTHING YOU CAN DO. EVERYTHING AROUND YOU IS MATHEMATICS. EVERYTHING AROUND YOU IS NUMBERS. SHAKUNTALA DEVI
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INDEX
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CHAPTER ONE
FIBONACCI
GOLDEN RATIO
RULE OF THIRDS
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CHAPTER TWO
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CHAPTER THREE
THIS BOOK WAS POWERED THROUGH: CANVA.COM ILLUSTRATIONS ARE FROM: CANVA, PINTEREST & GOOGLE IMAGES RESPECTIVELY INFORMATION SOURCED FROM THE GIVEN SITES AND VIDEOS BUT MOSTLY FROM: ESSENTIAL MATHEMATICS BY NOCON AND NOCON BOOK
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CHAPTER FOUR
EST. 2019