The Year 1961
1961 is one of those years ... which can be written upside down and it still remains the same , I call it Year which is Similar Upside Down (YSUD) just for the sake of it.
Can you tell which was the last year which was YSUD before this one and which YSUD one is the next ? Can there be any formula to find out?
Can you tell which was the last year which was YSUD before this one and which YSUD one is the next ? Can there be any formula to find out?
Labels: thinktank, trickofmind
posted by Rajesh Lal at
9:02 AM
28 Comments:
The last one is 1881, and the next is 6009.
1691, 1881,
The only numbers which look like another upside down are 8 and 1 which are their own and 6 and 9.
The next would ne in the year 6009
Last: 1881
Next: 2112 (and for those of you who dislike the "digital layout" interpretation of 2, it woud be 6009, the year Congress outlaws use of Psychophons to link to the Quantum Mind to access data without payment)
To my knowledge, there is no truly mathematic equation for determining these sequences. But I'd love to hear it if there is one!
And don't forget 2002 if you don't mind the digital layout. (First after 1961.)
Using the "digital layout", the next year from 1961 would be 2002.
lol beat ya by one minute :)
Hi, third anonymous guy again. Now as "Mike."
Sorry, I was under the impression the question was asking "from now," as opposed to "from 1961."
Doesn't matter, "1881" and "6009" were the years shown on the cover of the January 1961 cover of Mad Magazine, if memory serves.
To the third anonymous guy...
With regard to the mathematical formula... I thought this was intriguing =>
Year Gap
0000 110
0110 580
0690 190
0880 80
0960 41
1001 110
1111 580
1691 190
1881 80
1961 4048
6009 110
6119 580
6699 190
6889 1119
8008 110
8118 580
8698 190
8888 80
8968 38
9006 110
9116 770
9886 80
9966
These are the reflexive, so to speak, years I could come up with from 0000-9999. I arranged them in numerical order and calculated the time gap to the next reflexive year. A pattern does emerge! It does seem to break down at the end, but maybe I missed a year?
Don't forget the year 2000, if you use the 'digital format'. 2002 would not have been the next one
1881 and 3003if you mirror it thats how i look at it but hey who cares
It would have to be upside-down AND backwards, because upside-down 1961 would be 1691.
2002, digitally speaking, would be the same upside-down as it would upside-down and backwards, as would 1881.
2000 and 2001 would only be the same upside-down.
As for the answer to the question asked-
The last year before 1961 that fulfills the requirements set forth by this YSUD (1961), would have been 1881. The next year after 1961 would have been 2002.
Addtionally (digitally speaking), the following years after 2002 will be-
2112
2222
2552
2692
2882
2962
5005
5115
5225
5555
5885
5695
5965
6009
6119
6229
6559
6699
6889
6969
8008
8118
8228
8558
8698
8888
8968
9006
9116
9226
9556
9696
9886
9966
10001
10001 - Year Hypresident Apthax Whitmotron declares Earth in direct violation of intergalactic convention and devours it.
Now if we're to follow the letter of the statement before the question, it says years that can be written the same upsidedown as rightsideup-
That would eliminate any year with a 3,4,& 7, provided that latitude was given for the shape of the 2 and 5. If not, then only 0, 1, 6, 8, and 9 could be used.
Mathematically its actually rather easy to find the next one.
The reflective digits are
0,1,2,5,6,8,9
Their verticaly reflections are
0,1,2,5,9,8,6 respectively.
all years that meet the criteria are of the form
X Y R(Y) R(X)
where R(?) is the reflection of the digit ?
To find the next year after year ABCD, you need only find the smallest XY where
XY > AB and X and Y are reflective digits.
For example, for the year 1327, the smallest XY>13 is 15. Therefore the year is 1 5 R(5) R(1) = 1551.
Note if A and B are already reflective digits, you need to check if the year A B R(B) R(A) is > ABCD. If it is, that is the next year
6006, 6116
oops! 6009, 6119... sorry i'm high.
if a 6 is reflected into 9...then 5 can't be reflected into 5... it would be 2
its 1691 and the last is 6009. but there are many other ones. LOL. WEIRD!!!!!!
2002
2002
wow, you guys are really smart, or have nothing better to do then confuse the heck out of other people!
and very cool annonomous one for the
Year Gap
0000 110
0110 580
0690 190
0880 80
0960 41
1001 110
1111 580
1691 190
1881 80
1961 4048
6009 110
6119 580
6699 190
6889 1119
8008 110
8118 580
8698 190
8888 80
8968 38
9006 110
9116 770
9886 80
9966
it took a minute to figure it out, but that is so awesome!
wow, you guys are really smart, or have nothing better to do then confuse the heck out of other people!
and very cool annonomous one for the
Year Gap
0000 110
0110 580
0690 190
0880 80
0960 41
1001 110
1111 580
1691 190
1881 80
1961 4048
6009 110
6119 580
6699 190
6889 1119
8008 110
8118 580
8698 190
8888 80
8968 38
9006 110
9116 770
9886 80
9966
it took a minute to figure it out, but that is so awesome!
1991
I got a problem with this question...
1961 written upside down is 1691, and that's not the same year.. now if it's mirrored upside down, then it would be 1961... if we aren't talking about mirrored numbers, then only 1, 8 and 0 are correct. because 2 becomes a 5, a 5 becomes a 2, 6 becomes 9, and 9 becomes a 6. 3,4,7 all become either upside down (and not a number) or just plain backwards and not corresponding with any number.
ANSWER
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1881 was the last
6009 is the next
2002 is the next if digital layout is considered i.e.
2 is taken in this form
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GOT RIGHT
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Steve (Digital), Mike Rob and few anonymous guys
Joseph V. has got a close formula and good analysis by rob and angie
Will, upside down in YSUD meant
if you write it in a piece of paper and turn it upside down it should be same so it is actually mirrored upside down as per your comment
The only numbers are 1,6,8,and 9. I like that list of the differences. These are very cool problems!!!
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