Rules and Probabilities for Double Monopoly

Tableau workbook with complete probabilities based on 4 board orientations and 2 8-sided dice with the doubles rule:

So double monopoly has 2 boards.  It’s twice the fun! Boards a set corner-to-corner.  People move in a figure 8.  Boards can be joined at any corner but to keep consistent, lets try Go to Go (GO2GO), Jail to Jail (J2J), Free Parking to Free Parking (FP2FP), or Goto Jail to Goto Jail (GJ2GJ).  As they will cross that space twice, nothing is diminished from the space’s probability.  If you were to use different corners, one corner will be hit only once.  Click on this:

A complete Monopoly can consist of the correctly corresponding properties from either reality.  i.e. Park Place and Imperial Palace are a match.  Yodas hut and Farmer Maggots is a match.  If you have Boardwalk and Imperial Palace that’s not a match.  Nor is Hey,Jude; Abbey Road and Ganondorf.  etc.etc. Owning 2 complete monopolies of the same color doubles the value of the rent.  Any unimproved properties quadruples the unimproved price.  Having hotels on Boardwalk and Park-Place, but nothing on Mt Doom and Barad Dur still doubles the rent on BW and PP

In order to speed things up, 8-sided dice are used.  Or three 6 sided ones, if you ensure 2 are the same color so you can still use the 3 doubles-go-to-jail rules.  Also to ensure those hard-to-land on properties are hit, we can modify the free parking rule.  Free parking allows you to move to the next un-purchased property.  After all properties are purchased FP reverts to however you’d usually use it.  Another method of speeding the game up is to shuffle and deal 3-5 properties at the beginning and have the person pay for them at the start.  These should help speed up the game.

Cards will apply only to the board their origin. Go-to cards will then move the player to the same board enabling them to ‘bypass’ the 2nd board.  Go-to-Jail card is the same.Go-to-Jail (G2J) space applies to the board they had just left if the boards are joined at G2J.  Any special rules for that alternate reality board apply to that board only.

$3k is given out.  Due to inflation :), $1s are not used, but now become $1,000s.  Any prices are rounded to nearest 5, Mediterranean Ave must be landed on twice for any pay.  Thus the only change to the starting money is 1 – $1k, and an additional 1-$500 and 1-$5.

Currency options.  It is possible to keep both monies separate and required to pay off debts and purchases in each reality.  So if you need imperial credits, and all you have is ‘love’ then you would have to trade of use the bank as a currency exchanger of last resort.  Since ‘money can’t buy you love’ then you could make it a rule that the bank cannot exchange monopoly money for Beatles ‘love’ bucks.  If you let the bank charge a large fee, say 50%, ($100 monopoly money becomes 50 imperial credits) then other players can act as currency traders and arbitrageurs.  Forcing a very high fee, or ‘money can’t buy you love’ rule add an additional level of screwage that other players can enact on the person.  However the bank will need to use a-previously-agreed-upon exchange rate for bankruptcy proceedings.  Preferably with something like this line:  “Republic credits? Republic credits are no good out here. I need something more real.”

Railroad rents:   Several multiplier options, haven’t decided on which

RR Options
RRs owned x2 Half x1.90
1 25 13           25
2 50 25           48
3 100 50           90
4 200 100         171
5 400 200         326
6 800 400         619
7 1600 800     1,176
8 3200 1600     2,235

Utility rents:

Utilities Owned Multiplier x2.5
1 4
2 10
3 25
4 62.5

With two 8 sided die, a 16 would yield 1000, making the utilities pretty lucrative, if only rarely (1/64 chance with 2 8-sided dice).


Tableau workbook with complete probabilities based on 4 board orientations and 2 8-sided dice with the doubles rule:

Java used build to calc the probabilities.  Should work in a standard Eclipse installation of Java 7:

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OpenPaths Excel Workbook

Calculate Bearing in Degrees and Rads, Cardinal Direction, and Velocity with this easy workbook. Just download your data, import it into the green columns and graph in Tableau!


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Grade Inflation UGA vs GaTech

I have a quick chart here showing grade inflation by schools. It would seem that my Alma Mater experienced less grade inflation than UGA. UGA had a significant bump during the 1990s. Were professors just more liberal with their grades during that time? It could also be that Georgia experienced an increase in higher quality applicants.

Other GA Schools are also available, play with the tableau viz below:

GPA Inflation

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Discrete and Continous coloring in Tableau.

This has long bothered me in certain circumstances.  If you have a null value in a continuous pill then Tableau will color that null as if it were a zero.  Under most circumstances this is an okay solution, and I have to credit the programmers; it is better than the alternative.  When in doubt, show something and show it predictably.

So here is the problem I have faced.  Lets say zero is good, 10 is bad, and NULL is indifferent. Tableau will display null as the same color as zero.  Now lets say zero is good, 10 is bad, and NULL is BAD.  Now lets say 10 is good, -10 is bad, and NULL is something else.  When you place data into Tableau it will color nulls as zero.

However, Tableau is awesome and I was able to find an easy solution:


The secret is not really hard.  Basically all you need is two calculated fields, and then place  a  “transparent” image in your custom icons.

Formula 1
Float:  FLOAT([Type1])

This will take a number and convert it into a float, if there is a NULL or text it will make them all NULL.

Formula 2&3
NullFill_1: case [float]  when null then ‘NULL’
else ‘FILL’

Now just duplicate NullFill_1 as NullFill_2.

Formula 4:

This “1″ is solely just a place holder, call it anything and set it to 1.   Now take “1″ and place it on the column shelf twice.  Place Nullfill_1 on one shelf and NullFill_2 on another shelf and make 1 transparent, and give another a real shape.  If you need a transparent icon, just use this one:

NA blank trans

Now your Tableau workbook should look like this:


Now just dual axis those, adjust some of the legends and you will get this awesomeness!


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