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An interesting riddle - Printable Version

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An interesting riddle - Don Shepherd - 03-13-2012

Refer to this picture.

It is a little figurine of a cardinal (tail-less, unfortunately, due to an accident) sitting on a feeding tray that doubles as a calendar. You notice the bar with the month names on the left, and you figure that there must be three of them, and you're right. You also notice the two visible dice-like cubes representing 13, March 13, today.

The riddle: how many cubes are necessary to represent any possible date? Four days ago, it would require two cubes showing 09.

You can see two day cubes; how many more are behind them?


Re: An interesting riddle - Paul Dale - 03-13-2012

I believe it can be done with just two cubes.

Each cube needs the digits 0, 1 and 2.
The remaining digits are spread over the rest of the faces and some rotational symmetry is taken advantage of.


- Pauli


Re: An interesting riddle - Howard Owen - 03-13-2012

I get the same answer. The dice could be as follows: 0:1:2:3:4:5 and 0:1:2:7:8:9.


Re: An interesting riddle - Matt Agajanian - 03-13-2012

Hold on! What happened to 6? Shouldn't a face of the second die be 6 instead of 0?

Edited: 13 Mar 2012, 10:19 p.m. after one or more responses were posted


Re: An interesting riddle - M. Joury - 03-13-2012

I also make it 2. Clever little riddle.


Re: An interesting riddle - Katie Wasserman - 03-13-2012

Turn the 9 upside down to get the 6. You don't need a 3 on the other cube.

Edited: 13 Mar 2012, 10:20 p.m. after one or more responses were posted


Re: An interesting riddle - M. Joury - 03-13-2012

6 / 9. See Pauli's note about "rotational symmetry".

You have to have 0, 1, 2, on both cubes. 3 - 9 are only needed on one cube. 9 flipped is a 6.

Cheers,

-Marwan


Re: An interesting riddle - Matt Agajanian - 03-13-2012

Oops, silly me.


Re: An interesting riddle - Matt Agajanian - 03-13-2012

Again, oops, silly me.


Re: An interesting riddle - M. Joury - 03-13-2012

Katie beat me by seconds <g>. Only reason she got there first was that she typed less! She probably also types faster...

-Marwan


Re: An interesting riddle - Don Shepherd - 03-13-2012

You people are sooooo good.

When I was eleven years old, my buddies and I thought it was so cool that the year on the US penny minted that year was the same if you looked at it upside-down.

When was I born? What is the next year that will be the same upside-down?


Re: An interesting riddle - Jeff Kearns - 03-13-2012

1961.
6119


Or.... after reading the next post, 1950 and 6009! Patience Grasshopper.

Edited: 13 Mar 2012, 11:32 p.m.


Re: An interesting riddle - M. Joury - 03-13-2012

1961 / 6009

Actually you asked when you were born -- that would be 1950.

Edited: 13 Mar 2012, 11:19 p.m.


Re: An interesting riddle - Don Shepherd - 03-13-2012

Right, as usual.


Re: An interesting riddle - Katie Wasserman - 03-15-2012

I sometimes type fast, but make a zillion typos when I do. That's why you often see my edits shortly after I post something.


Re: An interesting riddle - M. Joury - 03-15-2012

LOL. I also seem to have that particular disease.

Cheers,

-Marwan