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Subject: Triangular Number Sequence rss

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Larry Schneider
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The Take Sweet automatic action is on cards 00:03, 00:06, 00:10, 00:15, 00:21, 00:28, 00:36, and 00:45, which is the Triangular Number sequence (excluding the leading 0 and 1). Is there some significance to this or is it simply a Friedemann Friese joke?
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Gillum the Stoor
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I suspect that the designer worked very carefully on the distribution of cards like "take sweets" to ensure that players would get sweets (and other benefits) with an appropriate frequency throughout the game, even as cards are scored and removed.
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Maximiliano Sanchez de Bustamante
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I agree, the position used on each type of card seems far less than casual.
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Achim Zien
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There's a theory: if ever anyone discovers exactly what the Universe is for and why it is here, it will instantly disappear and be replaced by something even more bizarre and inexplicable. There's another theory: this has already happened.
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I don't have the cards on hand. Are there other sequences etc. with the other actions?
 
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Maximiliano Sanchez de Bustamante
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Not so obvious, at least to me.

Exchange Cards: 13, 22, 33, 39, 43
All Cards into the Future: 16, 24, 26, 35, 38
One Card into the Future: 12, 19, 32, 40
Cards from the Past: 8, 18, 30, 44
Cards into the Past: 5, 11, 17, 23, 25, 41
Below Stack: 4, 7, 29, 42
Draw a Card: 2, 9, 14, 20, 27, 31, 34, 46, 47
 
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Larry Schneider
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PiHalbe wrote:
I don't have the cards on hand. Are there other sequences etc. with the other actions?


No, just the Take Sweet cards.

What struck me was that the designer could have simply made cards 1-8 be the Take Sweet cards. Instead, he used the sequence of Cards 3, 6, 10, 15, 21, 28, 36, and 45.

This triangular series is used in lots of games when allocating points. Feld uses this frequently (e.g., in Trajan, you lose 4 VP for 1 unmet demand, 9 VP for 2 unmet demands, and 15 VP for 3 unmet demands). I'm sure lots of games have relied on this series because the more you "accomplish," the more points you score incrementally.
 
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Gillum the Stoor
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schnel wrote:
What struck me was that the designer could have simply made cards 1-8 be the Take Sweet cards. Instead, he used the sequence of Cards 3, 6, 10, 15, 21, 28, 36, and 45.

The game would be much harder if they were 1-8.

Once you'd scored cards 1-8, you would be hard pressed for Sweets for the rest of the game.
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Larry Schneider
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gillum wrote:
I suspect that the designer worked very carefully on the distribution of cards like "take sweets" to ensure that players would get sweets (and other benefits) with an appropriate frequency throughout the game, even as cards are scored and removed.

My point wasn't about the number of Take Sweet cards but which of the 48 cards had the Take Sweet action. 8 cards have this action, and he could have assigned the action to cards 1-8. Instead, he assigned the action to cards 3, 6, 10, 15, 21, 28, 36, and 45. I found that curious.
 
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Larry Schneider
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gillum wrote:
schnel wrote:
What struck me was that the designer could have simply made cards 1-8 be the Take Sweet cards. Instead, he used the sequence of Cards 3, 6, 10, 15, 21, 28, 36, and 45.

The game would be much harder if they were 1-8.

Once you'd scored cards 1-8, you would be hard pressed for Sweets for the rest of the game.


Ah! Of course. :)
So Take Sweet cards are removed from play at a slower and slower pace. Interesting.
 
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Maximiliano Sanchez de Bustamante
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You are scoring cards in ascending order, if sweets are in 1-8 cards you will run out of sweets pretty quickly, because all cards that give sweets are out of the game, they are in the scoring pile and you only relay on moving large sequences of cards from present area to the past area to gain more sweets.
In that case it will be much more difficult beat the game and maybe been imposible to solve it.
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Maximiliano Sanchez de Bustamante
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schnel wrote:

So Take Sweet cards are removed from play at a slower and slower pace. Interesting.


Yes, the game helps to keep your stash with sweets through the game long.
 
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