Setup and Rule Diagrams

[Administrator]

Setup

pt80 game 3 setup-2.jpg

Please post below with any questions!

[LydiaLake]

Could you please show me how to set this game up?

[Kristina Moen]

Hi Lydia,

Welcome to the Forum! We'll get a post up with pictures of the setup, but I will explain what I can with words!

This is a balanced defined grouping game. You might be tempted to think it is linear because the wall numbers, but the rules do not have a linear quality (no rules abut Franz's watercolors being on an "earlier" wall than Green's watercolor, for example). The walls could easily have been called red, orange, yellow, and green. The numbers are just the wall names.

You'll want to use the walls as your base. Each wall has an upper position and a lower position. So you can set that up with 1 - 2 - 3 - 4 as your base with two stacks. You could label one stack as "upper" and one stack as "lower," or your could rely on the visual. One stack is going to be above the other stack. There will be eight spots.

The variables are the paintings. This makes sense in real life, too. We move around paintings, we don't move around walls! Each art students has two paintings: watercolor and oil. There are four art students. Hence, there are eight paintings: Fw, Fo, Gw, Go, Hw, Ho, Iw, Io. These are the variables you will add to the groups. There are eight variables.

Now, the rules:
No wall has only watercolors = Not-block of ww.
No walls has the work of only one student on it = You can never see FwFo or GwGo, etc. You can choose how to represent this rule.
No wall has both a painting by Franz and a painting by Isaacs displayed on it = Not-Block of FI (note that the order doesn't matter)
Greenes water is displayed in the upper position of the wall on which Franz's oil is displayed = Block of GwFo (here the order does matter, where Gw is above Fo)
Isaac's oil is displayed in the lower position of wall 4 = This one's easy. Just plug it in and keep it there for the rest of the questions!

Hope this helps.

[LydiaLake]

It definitely helps a lot!! Thank you very much!

[Adam Tyson]

Be sure to follow all that up with additional inferences, too, Lydia! Ask yourself which paintings could go where, who could go with whom. There's one key inference in this game that takes it from a nightmare to a sweet dream! Make it, and the game takes little time and effort - some folks say it's a five minute game at that point. Fail to make it, and it's just about impossible - some folks claimed they spent 15 minutes on it before giving up.

The rules are the starting point, but the inferences are what really matter in most games. Look for those, and then you'll be in great shape to go forward to the questions.

Good luck!

[LydiaLake]

Thank you very much!!

[srcline@noctrl.edu]

Hello, so the explanations did help a great deal but I'm still a bit confused so this was my setup:

upper: _ _ _ _

Lower: _ _

Rules:

WW not block

FI not block

minimum of 2 students

Block GW and FO

I struggled with question 12..... I though F and I could not be on the same wall?

Thankyou
Sarah

[Jon Denning]

Hi Sarah - thanks for the question!

For 12, let's first run through the four wrong answers and see what about each causes an issue:

(B) This answer is tricky, as it's the combination of three rules causing the problem here. First, we know that Franz and Isaac cannot be on the same wall, so F's watercolor cannot be on walls 3 or 4. We also know that no wall has only one student, so F's watercolor cannot be on wall 1 (his oil is already there). That forces F's watercolor onto wall 2...and then that wall has two watercolors (F's and H's) and breaks a rule. So we have no place to put Franz's watercolor, and this answer is thus impossible.

(C) The last rule tells us that the lower position of wall 4 has Isaac's oil on it, so Hidalgo's oil in that spot is a violation.

(D) Greene's watercolor is in the upper position (above Franz's oil), so it cannot be in the lower position on wall 3. We're also missing Franz's oil in a lower position here.

(E) Since no wall has only watercolors, then the painting in the upper position of wall 1 here (above Hidalgo's watercolor) must be an oil. But there's only one oil left: Hidalgo's. And that would force wall 1 to be all Hidalgo, which breaks the rule about a wall containing only one student.

So that leaves (A). Let's see how it could play out:

If the lower positions are F's O, F's W, G's O, and I's O, then the upper position could look like this: G's W (has to be above F's O), H's O, I's W, and H's W. And we're fine!

To your question about F and I, I think you may be confusing walls with positions. F and I cannot be together upper and lower on a wall at the same time, but they can both be in the upper or lower positions of different walls at the same time (that's what happens in A).

I hope that helps!

[Tyler]

Would someone be able to elaborate what the key inference here is? Having trouble finding it! Thanks!

[samswim009]

Hi Tyler, I think it is that Hw must be in 4 upper position. Since ww isn't a possibility, neither is oo. With Io in the 4 lower position the 4 upper must be a w. Since we cant have two students on the same wall this leaves Fw, Gw, or Hw. The IF is a not block eliminating the Fw, the Gw must be paired with Fo, so that leaves us with Hw as the only option for that spot.