Why should one want to learn various concepts, like "square root"? To be able to play my game...
This is a good GROUP game! Use in classrooms.
There are many mistakes in the examples below. Take the idea and try to fix them.
0 = (empty space meaning zero letters)
1 =A =i = I
2 =Bi =Di =ii = II
3 =Tri =iii = III =[Pie] =]e[ =("3" in Russian)
4 =Four =Care' =Tetr =Aces =("4" in Armenian)
5 =AFive =Penta =Fiver =Quint =
6 =OneSix =Sextet =It'sSix =Three!(Factorial)
7 =ASeptet =AgentOO =SevenA's =SevenI's =Mystic# =Wonders =What'sUp =PastSix =Rainbow =Six&One
8 =OneEight =FourTwos =TwoFours =TwoCubed =Octuplet =It'sEight =Octonary =Octopous =Augustus =Octavian
9 =NineUnits =OnceANine =OneOffTen =JustANine =ExactNine =HighDigit =LastDigit =FourthOdd =ItIsANine =PassEight =Seven&Two =Four&Four =Six&Three =
10 =OneAndNine =FourAndSix =TenAndZero =TwiceAFive =DoubleFive =TenAndZero =FiveToFive =TenExactly =NumberBase =AllFingers =JustOneTen =ADimeCents =ThisIsATen =SameAsDeca =DigitalSet =DigitsBase =AllDigits =TheDigits =It'sJustTen =SameAsATen =SquashDips =OnAPumpkin =
11 =FivePlusSix =TwoPlusNine =OnePlusATen =ElevenUnits =APrimeFifth =BinaryThree =ExactEleven =Eight&Three =('11" in Russian)
12 =APairOfSixes =OneAndEleven =ThreeAndNine =FifthOfSixty =SixIsItsHalf =JustOneDozen =ADozenOfOnes =Clock'sDigits =MidnightHour =TwelveAnyway =SameAsDodeca =ThisIsTwelve =TwoTimesASix =SixIfDoubled =ATenPlusATwo =NextToEleven =It'sSixAndSix =CheckOutTime =Zodiac'sSigns =TwoHalfDozen =AYear'sMonths =Dodecahedron =Voltage'Tenth =ASimpleDozen =SimplyADozen
13 =OnePlusADozen =EightPlusFive =ElevenPlusTwo =TwoFiveAndSix =ThirteenUnits =DozenIfBaker's =Baker'sDozenIs =TheSixthPrime =UnluckyNumber =UnluckyFriday =RoundedFourPi =OnePlusTwelve =LeastTeen'sAge =SameSuitCards =
14 =TwentyMinusSix =SevenAndItself =FifthOfSeventy =TwoCubedAndSix =SixSevenThirds =ThisIsFourteen =AddTwoToTwelve =ASevenTimesTwo =ElevenAndThree =AFivePlusANine =ASixAndAnEight =ThirteenAndOne
15 =SixteenMinusOne =FourteenPlusOne =FiveAndTwoFives =TwelvePlusThree =FifteenTimesOne =TwoPlusThirteen =AQuarterOfSixty =OneHalfOfThirty =FourUnits,Binary =TenOneAndHalves =FortyFiveThirds =EighthOddNumber =AQuarter(Minutes) =FourteenPlusOne =CombineSixByTwo
16 =SixAndSixAndFour =EighteenMinusTwo =FourUnitsSquared =FourthPowerOfTwo =AHalfOfThirtyTwo =HalfMouthOfTeeth =AHalfOfFullTeeth =PagesInSignature =ItIsSquareOfFour =OneFifthOfEighty =ItsQuarterIsFour =It'sEightAndEight =EighthEvenNumber =OxygenAtomNumber =Spider'sLegsTwice =SeventeenLessOne =TheFourthSquare#
17 =SeventeenPlusZero =SeventeenTimesOne =AHalfOfThirtyFour =CamelsInOldPuzzle =ThirdOfFiftyUnits =FourteenPlusThree =TheSeventhPrimeIs =
18 =ASixPlusSixPlusSix =TenPlusTenMinusTwo =OneDozenAndItsHalf =ReversedNineSquare =AHalfOfThreeDozens =AHalfOfSquareOfSix =AThirdOfThisIsASix =ItIsItsHalfAndNine =ThisIsTwoTimesNine =OneHalfOfThirtySix =OneLessThanNinteen =Argon'sAtomicNumber
19 =FivePlusTenPlusFour =FiveAddedToFourteen =TwentyTwoMinusThree =HalfOfFourtyMinusOne =FifthOfAnEightyFive =ThreeSquaredPlusTen =APrimeBeforeATwenty =Teenager'sMaximalAge =LastTeenPrimeNumber =AThirdOfAFiftySeven =AHalfOfAThirtyEight =QuarterOfSeventySix =TwentySubtractedOne =TheCenturyThatEnded =APrimeCloseToTwenty =
20 =TwoTensAddedTogether =TwoTimesTwoTimesFive =OneFifthOfOneHundred =FourPlusSquareOfFour =TotalsFingersAndToes =OneHalfOfItEqualsTen =AFifthOfItEqualsFour =ItsHalfTimesItsTenth =ItsSquareIsFortyTens =ItIsItsFourthAndFour =FourTimesFiveExactly =ItsFourthTimesFifth =HalfOfTheNumberIsTen =ItsHalfTimesItsTenth =HundredFortySevenths =OneHalfOfItEqualsTen =HalfOfTheNumberForty =TwiceTheCommandments =FourthOfNumberEighty =AThirdOfANumberSixty =SixthOfFiveFactorial =ASixCombinedByThrees =TwoPercentOfThousand =Calcium'sAtomicNumber
21 =SixPlusSevenPlusEight =FourTimesFourPlusFive =ThisNumberIsTwentyOne =OneFourthOfEightyFour =ASquareOfFourAndAFive =CompositeNextToTwenty =SevenTimesOneRounded¼ =BlackJack'sTargetScore =LogarithmOfSixtillion =ThreeOfItIsSixtyThree =AThirdIsTheThirdPrime =TwentyOneDividedByOne =AHalfOfNumberFortyTwo =ATenthOfTwoHundredTen =OneFifthOfHundredFive =FifthTriangularNumber
22 =SixtySixDividedByThree =TheNumberMadeOfTwoTwos =SevenTwentyTwoSevenths =EqualsTwoDozensLessOne =JustOneThirdOfSixtySix =ItsHalfIsTheFifthPrime =AHalfOfNumberFortyFour =TwoTimesFivePlusTwelve =FiveTimesFiveLessThree =DevideHundredTenByFive =SevenTimes¼ThenRounded =AFifthOfAHundredAndTen =AtomicNumberOfTitanium
23 =It'sTheTwentyThirdNumber =HalfOfTheNumberFortySix =ItIsTheNinthPrimeNumber =TwoTimesTheElevenAndHalf =LeastPrimeWithTwoPrimes =SixTimesFourMinusOneOne
24 =TheTwoHalvesOfTwentyFour =DozenIsAHalfOfThisNumber =ItIsOneDozenPlusOneDozen =TheNumberOfHoursInOneDay =LeastNumberOfSixDivisors =OneSixthOfOtsFourthIsOne =LogarithmOfOneSeptillion =AHalfOfANumberFortyEight =ItIsEqualToFourFactorial =ItIsFifthOfFiveFactorial =ThreeFactorialTimesAFour
25 =TwentyTwoAndThreeTogether =ThreeSquarePlusFourSquare =OneSixthOfOneHundredFifty =ExactlyAQuarterOfAHundred =ASquareRootOfItIsItsFifth =EqualsToASquareOfItsFifth =SumOfSquaredThreeAndFour =OneSixthOfOneHundredFifty =OneTwentiethOfFiveHundred =TheWorthOfAQuarterInCents =ExactFiftyPercentsOfFifty =GivesTheFifthSquareNumber
26 =OnlyOneLessThanTwentySeven =TwoCubedPlusTwentyMinusTwo =JustOnePairOfBaker'sDozen =SquaresOfTwoPlusThreeTwice =
27 =ExactlyOneMoreThanTwentySix =AThreeTimesItselfThreeTimes =ACubeOfTheSquareRootOfANine =RoundedTenTimesEuler'sNumber, =ACubicRootOfThisEqualsThree
28 =TenPlusTenAndThenPlusAnEight =TheNextPerfectNumberAfterSix =TotalSumOfItsAllFiveDivisors =TheLeastNumberOfDaysInAMonth =ItIsTheFourthHexagonalNumber
29 =SimplyOneNineAddedToOneTwenty =ThePrimeNumberJustUnderThirty =FourTimesTheFourthPrimeAndOne =ThisClaimHasTwentyNineLetters =MyAgeIfNineYearsAgoIWasTwenty =IntegerPartOfLunarMonthInDays =SquareRootOfTwentyNineSquared =TheDaysInANonLeapYearFebruary
30 =FifteenTimesTwelveDividedBySix =ItIsTheSquareRootOfNineHundred =AngleInDegreesWhoseSineIsAHalf =DegreesTurnedByEarthInTwoHours =TenRoundedArchimedianNumbersPi =ASquareRootOfTheSquareOfThirty =ThisIsItsTenthAndItsTenthCubed =TheNumberOfMinutesInHalfAnHour =ItEqualsToItsHalfThirdAndSixth =SumOfSquaresOfFirstFourNumbers =FiveClockMinutesAngleInDegrees =HalfAngleOfEquilateralTriangle =OneTenTimesOneSquareRootOfNine =CubicRootOfTwentySevenThousand =ASixtyTimesSineOfThirtyDegrees =OneTwelvethOfThreeHundredSixty =ItEqualsAFourthOfFiveFactorial =ASixFactorialOverFourFactorial =CubicRootOfTwentySevenThousand =TheNumberOfSecondsInHalfMinute
31 =NumberBetweenThirtyAndThirtyTwo =SquareRootOfNineHundredSixtyOne =RoundedTenTimesArchimedes'Number
32 =FreezingTemperatureInFahrenheights =TheFifthPowerOfAnEvenPrimeNumber =SoManyBlackSquaresOverChessboard =ACubedSquareOfSmallestEvenNumber =TwoIfMultipliedByItselfFiveTimes =TheAtomicWeightOfOxygenIfDoubled
33 =AtThisAgeJesusChristWasCruicified =ThirdPartOfTheCentsOfEveryPricing =TheTwoDigitNumberComposedOfThrees =ThreeBaker'sDozensEachLessTwoUnits
34 =EnglishAlphabetHasEightLettersLess =GeographicalLatitudeNearLosAngeles =EightyByFourtySixDivisionRemainder
35 =TheProductOfTheThirdAndFourthPrimes =ExactHalfOfTheProductOfSevenAndATen =SquareRootOfTwelveHundredTwentyFife =TheNumberOfCombinations
36 =AreaOfASquareWhoseSideEqualsSixUnits =ItsHalfAndItsThirdTogetherFormThirty =ThisSentenceContainsThirtySixLetters =AtAgeOfThirtySixIWasThisManyYearsOld =ItIsAHalfOfItAndThreeSquareRootsOfIt =ExactSquareJustBetweenThirtyAndForty =AFifthOfAStraightAngleGivenInDegrees =TheSumOfAllTheIntegersFromOneToEight
37 =NormalTemperatureOfHumanBodyInCelsius =ARoundedLengthOfACircleOfRadiusTwelve =TheLargestPrimeSmallerThanThirtyEight =LargePrimeFactorOfTheIndependenceYear =EighteenthOfTheSumFromOneToThirtySix
38 =HalfOfItIsTenMoreThanFirstDigitSquared =ThisSentenceContainsThirtyEightLetters
39 =Baker'sDozenAndSatan'sDozenAndDevil'sDozen =It'sTheNumberOfLettersInArmenianAlphabet
40 =PerimeterOfASquareWithTenUnitsSidelength =AThousandSixHundredDividedByFourHundreds =MinusSameDegreesInFahrenheightsOrCelsius
41 =TheLastTwoDigitsOfTheYearWorldWarTwoBegan
42 =AHalfAThirdAndASixthOfThisAddUpToFortyTwo
43 =LegsOfBabilonianTriangleWrittenDecreasingly
44 =ABaseTenLogarithmOfATenToTheFortyFourDegrees
45 =AnAngleMeasuredInDegreesWhoseTangentEqualsOne =TheAngleWhoseSineEqualsAHalfOfSquareRootOfTwo =TheSideAngleOfIsoscelesRightTriangleInDegrees =
46 =NumberOfAllLettersInEnglishAlphabetPlusATwenty =ThisNumberFortySixIsUniqueForSomeSpecialReason
47 =IfIncreasedByOneItIsDivisibleByFortyEightAtMost
48 =DoubleTheAreaAndPerimeterOfTheBabilonianTriangle
49 =TheSquareOfAPrimeWhoseCubeIsThreeHundredSomething
=ThisNumberEqualsToTheSquareOfTheFourthPrimeNumber
50 =TotalSumOfTheSquaresOfAllSidesOfBabilonianTriangle =DiagonalOfARightTriangleWithTheLegsFortyAndThirty =TotalNumberOfTheLettersInThisSentenceEqualsToFifty =TheUnitedStatesOfAmericaHasThisTotalNumberOfStates
51 =SquareOfSquareRootOfSeventeenTimesSquareRootOfThree
52 =ThisNumberIsTwiceTheNumberOfLettersInEnglishAlphabet
53 =ThisNumberEqualsFiveTimesSevenWhenIt'sWrittenBackwards
54 =TheLargestIntegerWhoseSquareDoesNotExceedThreeThousand
55 =TheThirdPrimeNumberSimplyMultipliedByTheFifthPrimeNumber
56 =ThisNumberIsDoubleTheNearestToItPerfectNumberTwentyEight
57 =AnIntegerApproximatingInDegreesTheAngleOfOneRadianMeasure =TheIntegerPartOfTheArcInDegreesWhoseLengthEqualsItsRadius
58 =ThereAreManyWaysToDescribeThisNumberRepresentingFiftyEight
59 =TheFirstDigitIsAFiveAndTheSecondDigitEqualsTheSquareOfThree
60 =EachOfTheThreeAnglesOfAnEquilateralTriangleMeasuredInDegrees =ItIsOneDozenPlusOneDozenPlusOneDozenPlusOneDozenPlusOneDozen =TheAngleWhoseTangentEqualsTheSquareRootOfThreeDividedByThree
Here are examples of possible general representations:
6k =OneSixAndSix...(k-1 times)
7k =IfSevenToSeven...(k-1 times)
8k =OneEightAndEight...(k-1 times)
9k = ItIsANinePlusANine ...(k-1 times)
10k = ANumberTenAddedToTen ...(k-1 times)
11k = It'sAnElevenAndAnEleven ...(k-1 times)
12k =ItIsOneDozenPlusOneDozen...(k-1 times)
Combining the above periodic terms we can get a word_representation for any number over 5.
6m+7n =OneSixAndSix...(m-1 times)ToSeven...(n times)
6m+8n =OneSixAndSix...(m-1 times)AndEight...(n times)
=OneEightAndEight...(n-1 times)AndSix...(m times)
8m+7n =OneEightAndEight...(m-1 times)ToSeven...(m times)
9m+6n =ItIsANinePlusANine ...(m-1 times)AndSix...(n times)
=OneSixAndSix...(n-1 times)PlusANine ...(m times)
9m+7n =ItIsANinePlusANine ...(m-1 times)ToSeven...(n times)
9m+8n =ItIsANinePlusANine ...(m-1 times)AndEight...(n times)
=OneEightAndEight...(n-1 times)PlusANine ...(m times)
10m+6n =ANumberTenAddedToTen ...(m-1 times)AndSix...(n times)
=OneSixAndSix...(n-1 times)AddedToTen ...(m times)
And So On...
Here is the Table summarizing our possibilities:
6m;
7m, 7m+6n;
8m, 8m+6n; 8m+7n;
9m, 9m+6n; 9m+7n, 9m+8n;
10m, 10m+6n; 10m+7n, 10m+8n, 10m+9n;
11m, 11m+6n, 11m+7n, 11n+8n, 11m+9n, 11m+10n;
12m, 12m+6n, 12m+7n, 12m+8n, 12m+9n, 12m+10n, 12m+11n;
Only a few of them are enough to represent any number, for instance:
6m+8n gives us all even numbers, starting with 6; and
6m+7n, 6m+9n, 6m+11n provide us with the leftover odd numbers.
You can chose other options from above or create your own.
We have proved the following (almost in every Language)
THEOREM:
Every number can be represented with words using exactly the same number of letters.
Bring In ANY Idea (Crazy or Smart)
From Any Field and Any Discipline
On advanced levels the use of foreign language or other numeration systems is encouraged.