More SAMPLES of MUMBERS (Mamikon's numbers).... ©1997, Mamikon

The Game is to express a given Number in words using the very same Number of letters.

The simplest and most creative game

Coming up with new Ideas and making them work in a moment is the essence of this game...

STIMULATES LEARNING NEW CONCEPTS

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

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

43 =LegsOfBabilonianTriangleWrittenDecreasingly

44 =ABaseTenLogarithmOfATenToTheFortyFourDegrees

45 =AnAngleMeasuredInDegreesWhoseTangentEqualsOne =TheAngleWhoseSineEqualsAHalfOfSquareRootOfTwo =TheSideAngleOfIsoscelesRightTriangleInDegrees =

46 =NumberOfAllLettersInEnglishAlphabetPlusATwenty =ThisNumberFortySixIsUniqueForSomeSpecialReason

47 =IfIncreasedByOneItIsDivisibleByFortyEightAtMost

48 =DoubleTheAreaAndPerimeterOfTheBabilonianTriangle

49 =TheSquareOfAPrimeWhoseCubeIsThreeHundredSomething

50 =TotalSumOfTheSquaresOfAllSidesOfBabilonianTriangle =DiagonalOfARightTriangleWithTheLegsFortyAndThirty =TotalNumberOfTheLettersInThisSentenceEqualsToFifty =TheUnitedStatesOfAmericaHasThisTotalNumberOfStates

51 =SquareOfSquareRootOfSeventeenTimesSquareRootOfThree

52 =ThisNumberIsTwiceTheNumberOfLettersInEnglishAlphabet

53 =ThisNumberEqualsFiveTimesSevenWhenIt'sWrittenBackwards

54 =TheLargestIntegerWhoseSquareDoesNotExceedThreeThousand

56 =ThisNumberIsDoubleTheNearestToItPerfectNumberTwentyEight

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)

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)

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.