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Subject: 'Birthday Worlds' rss

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Paul Cockburn
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Having done all the calculations in responding to another thread, it seems as shame not to repeat them here in tidier format.

Can you turn your birthday into a world from 504?

The answer is yes, providing you have a birthday on one of the following 122 days:
January 23, 24, 25, 26, 27, 28, 29.
February 13, 14, 15, 16, 17, 18, 19.
March 12, 14, 15, 16, 17, 18, 19, 21, 24, 25, 26, 27, 28, 29.
April 12, 13, 15, 16, 17, 18, 19, 21, 23, 25, 26, 27, 28, 29.
May 12, 13, 14, 16, 17, 18, 19, 21, 23, 24, 26, 27, 28, 29, 31.
June 12, 13, 14, 15, 17, 18, 19, 21, 23, 24, 25, 27, 28, 29.
July 12, 13, 14, 15, 16, 18, 19, 21, 23, 24, 25, 26, 28, 29, 31.
August 12, 13, 14, 15, 16, 17, 19, 21, 23, 24, 25, 26, 27, 29, 31.
September 12, 13, 14, 15, 16, 17, 18, 21, 23, 24, 25, 26, 27, 28.
December 3, 4, 5, 6, 7, 8, 9.

This comes pretty close to a 1 in 3 chance that a random birthday can generate a 504 world.

Note however that the seven dates in December will generate the same world as the seven dates in January (123, 124, 125, 126, 127,128, 129) so only 115 worlds are produced in this way.

But not if you're British. Which I am. So, for example, my own birthday (14th June) will produce the game 146 and not 614. In Britain the same range of birthdays applies because whatever order you put them you still need the day and month to contain three unrepeated non-zero digits between them. However, in the UK system each of the 122 dates will produce a different world. No duplication.

The question remains, is there any overlap between worlds generated in the USA and those generated in the UK? Going through the dates to look for such duplicates it is only necessary to look at those UK dates which will produce a centre digit of 1, 2 or 3. (Because all the USA-produced worlds will have a centre digit of 1, 2 or 3.) And even then, it is possible to eliminate particular dates. So here is the list of UK dates which generate worlds already covered by the USA system.
January 23 (231) [no. there is no 31st Feb]
February 13 (132) [nor is there a 32nd Jan]
March 12 (123), 21 (213) [but there is a 23rd Jan and 13th Feb]
April 12 (124), 21 (214)
May 12 (125), 21 (215), 31 (315)
June 12 (126), 21 (216)
July 12 (127), 21 (217), 31 (317)
August 12 (128), 21 (218), 31 (318)
September 12 (129), 21 (219)
December 3 (312), 4 (412), 5 (512), 6 (612), 7 (712), 8 (812), 9 (912)
Which comes to a total of 24 dates.

In summary
There are 122 out of 366 birthdays from which it is possible to generate a 'birthday world'.

Each birthday can generate two different worlds depending on whether you use the American (MDD or MMD) or British (DDM or DMM) notation.

There are 213 worlds out of 504 which can represent birthdays on at least one side of the Atlantic.

The following worlds represent birthdays on both sides of the Atlantic:
123, 124, 125, 126, 127, 128, 129, 213, 214, 215, 216, 217, 218, 219, 312, 315, 317, 318, 412, 512, 612, 712, 812, 912.
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Anders Olin
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276 for me then...tomorrow devil
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Patrick Riley
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I guess I'll have to play both 913 and 139.
 
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Michael Off The Shelf Board Game Reviews
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You can add to the madness by doing Month and Year too...

For example January 1989 would be 1,8,9. May 1986 is 5,8,6.


I'll let someone with more time on their hands than me do the math/permutations.
 
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Matthew M
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World 513 : The World of Exploring Traders with a Bias to Individualism.
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Kirk Monsen
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Grumsh wrote:
You can add to the madness by doing Month and Year too...

For example January 1989 would be 1,8,9. May 1986 is 5,8,6.


I'll let someone with more time on their hands than me do the math/permutations.
If you did month and last two digits of year, all the games are available, but only to people born between January and September, and as long as there year isn't the same two digits, nor contain a 0, nor contain the same number as their month.

I was born in Feb, 1971, so world 271 is available to me, while I get no world for my Feb 1st birthday.

I am guessing we would get a lot of worlds with 7, 8, or 9 in the middle slot
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Sophia Lechner
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Octavian wrote:
World 513 : The World of Exploring Traders with a Bias to Individualism.
My birthday's the day before, so it's The World of Exploring Traders pressed for time. They're very different games, though! In both, we're using residents to explore the map and harvest VP, while our trolley moves around to deliver goods for income and maybe ferry our residents around. But in mine, the residents are in a hurry, so they don't exhaust when moving to a tile that already has an exhausted resident, which makes a big difference in mobility (exhaust to harvest a VP from a tile, then move residents across it for free for the rest of the turn).

And of course, yours adds some extra randomness in privileges available to buy, while mine gives bonus VP for being lucky enough to be the first to explore three of a tile type.

Argh, I want this game to arrive.
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Russ Williams
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mathmethman wrote:
April 2, 13, 15, 16, 17, 18, 19, 21, 23, 25, 26, 27, 28, 29.
April 2 is a typo for April 12, right?
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Ian Noble
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Octavian wrote:
World 513 : The World of Exploring Traders with a Bias to Individualism.
I've played this world! Lots of downtime towards the end of the game as every buys and activates their max residents.
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Douglas S
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march 14

314
or
143

yipee
 
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Jack Spirio
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June 22 does not work, but 6/93 does
 
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The Apostle Green
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Jack Spirio wrote:
June 22 does not work, but 6/93 does
Well, you could use its Julian day number (173, or 174 during a leap year.)
 
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jeremy mayfield
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Using month (5) and year (74) for me, I get:

574 - The World of Exploring Big Landowners with Potential for Violence.

Sounds like my kind of game!
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Brian Boyle
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30 September (and my year number has a zero it it too - as does the last 3 digits of my Julian Day number).

Guess it will have to be my day number: 273 here I come.
 
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Paul Cockburn
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russ wrote:
mathmethman wrote:
April 2, 13, 15, 16, 17, 18, 19, 21, 23, 25, 26, 27, 28, 29.
April 2 is a typo for April 12, right?
Well spotted! Nice to know someone has actually checked the analysis. I'll correct the original post.
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Lines J. Hutter
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February, 5th soblue
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Matt Deuber
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August 4 soblue

And to make matters worse, born in '68. shake
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