Introduction: Pen & Paper Catan  for Emergencies
Do you love Settlers of Catan? You do!? Great, me too! Do you carry it with you wherever you go? No? That's what I thought.
Few of us carry a hexboard, road pieces, dice, resource cards, and all the other trappings a of good game of Catan with us on a daily basis. (If you do, then my hat is off to you good sir/ma'am.) That is why I spent some time finding a way to play a reasonable facsimile with just things you almost always have on hand: pens, paper, and pocket change. This is for all the times you were camping and forgot to bring the board, or were stuck at the airport for an unexpected 4 hour layover.
The final product at the end of this 'ible will look like Picture 2. (OK. OK. Maybe in real life, it'll look more like Picture 3, but this is an instructable and I wanted it to look extra nice for demonstration purposes.)
*Disclaimer* Settlers of Catan is a great strategy / nation building board game that is WAY more fun than it sounds. The game was created by Klaus Teuber and first published in Germany, before becoming a worldwide hit. This instructible is not meant as a replacement for owning the real game, just for use in emergency situations. If you like Catan, you should go buy it (but who are we kidding, if you like Catan you probably already do.)
Step 1: The Board and Robber

Your board will need 19 hexagons, arranged in a regular pattern in columns of 34543, like the picture above.
 Each hex gets one resource (draw a picture or just write the word). 3 Stone, 3 Bricks, 4 Wood, 4 Sheep, 4 Wheat, 1 Desert. Take turns placing resources, or play rockpaperscissors, or flip a coin, until all hexes are filled.
 Each hex also gets a number, 2  12. These are usually arranged in a counterclockwise spiral in the following sequence, starting from any corner hexagon and skipping the desert: 52638109121148109456311. I've arranged them differently in the picture to show that there should be two of every number except 2 and 12, which each get only one. (Do as I say, not as I do.)
 You need 9 ports arranged regularly around the board. I draw dotted lines to help see where they should go. 5 of the ports are 2:1, each with its own resource. The other 4 are 3:1 with any resource.
 You need a coin, or a pebble, or a crumpled gum wrapper to act as your Robber. Place it on the Desert to start.
 Roads, Settlements, and Cities are simply drawn on the board. Once placed they never move again, so pen or marker is OK. Each player is allowed 5 Settlements, 4 Cities, and 15 Road segments.
Step 2: The "Dice"

Draw 5 circles, divide each in half. The "H" above the left half of each circle is for "heads", the "T" above the right is for "tails".
 Put the numbers as you see them in the picture above into the circles: 0/1, 0/1, 0/3, 1/3, 1/4. I labeled the circles "penny, penny, nickel, dime, quarter" but you could also just flip one coin 5 times, and get the same effect.
 You now flip your 5 coins, or your one coin five times, and add up the values of the faces or tails. This number corresponds with the numbers on your Catan board, just as if you had rolled dice. For example, flipping HeadsHeadsHeadsHeadsHeads gives a sum of 0+0+0+1+1 = 2, while flipping TailsTailsTailsTailsTails gives the sum 1+1+3+3+4 = 12.
 ROLL DICE COINS
 2 or 12 ======== 3% ========= 3%
 3 or 11 ======== 6% ========= 6%
 4 or 10 ======== 8% ========= 6%
 5 or 9 ========= 11% ======== 13%
 6 or 8 ========= 14% ======== 16%
 7 ============ 17% ======== 13%
Step 3: Resource Cards
Instead of having individual resource cards, simply draw a Resource Bank like the one pictured above. Each resource starts with 19 in the bank, and as people draw cards from the bank simply subtract them from the number left in the bank and write the new total.
I also draw a Building Costs chart just for reference purposes, it's easy to forget how much each item costs to build.
Step 4: Your Hand
Each play should take a scrap of paper as his or her "hand" This paper is where they will write down how many Resource cards they have, and how many Development cards they have. It's up to the honor system to make sure no one cheats and writes down more cards than they really have.
Step 5: Development Cards and Special Cards
Drawing Development cards is also done via coin flip, since there are no physical cards to draw. I wont go into the probability of 'drawing' a card via coin flip versus drawing an actual card from the deck, but they are very similar.
Each time a person buys a Dev. Card they must flip coins to see which one they 'draw'. Then they subtract one card from the bank. When not in use, the Dev. Card bank should be folded under the rest of the board, so other players don't see which card you've just 'drawn'. Obviously, you also will have to shield your roll from them so they don't see that either.
Again, use the honor system. No cheaters!
Picture 2 shows the two Special cards "Longest Road" and "Largest Army". Simply write the name of the player who controls these cards on the lines to the right. Longest Road goes to whichever player has the longest road of at least five or more road sections. Largest army goes to the player with the most knight cards revealed, more than three.
Step 6: Other Alternatives
 When drawing the Hexboard, don't draw hexagons, draw the vertical zigzag lines I've outlined on the lefthand side of Picture 1 above. Then connect the zigzags with horizontal lines to form the hexagons. This is much faster and makes a nicer board than trying to freehand 19 hexagons.
 Or, don't draw hexagons at all. It is a well kept secret that you can create the same exact board using only offset rectangles. Simply draw the rectangles as you see on the righthand side of Picture 1, and remember to add the 6 dots (3 on each side) necessary for completing the board.
 If you have a deck of cards handy, use it. Not for the resource cards; a single deck doesn't have 5 x 19 cards. Use them for your Development cards, which only requires 25 cards. This eliminates the hassle of flipping the coins and creating a Dev. Card bank.
 Make a pair of dice. You can make paper dice from an origami paper cube (a 'kamifusen' or 'PaperBalloon' in Japanese). They won't be as perfect as real dice (not balanced, and 2 of the 6 sides will never be quite flat) but they are a bit easier to play with than the coin flipping. Obviously you can't know the probabilities of different rolls when using these dice, because every die is different, but it probably doesn't vary too much. To learn how to make kamifusen you can go to this nice instructable (which is not mine) or this video also shows how they are made.
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18 Comments
So with these coins, sevens are a couple of percent more likely to come up than with real dice, but they are also now the highest probability.
I've uploaded my spreadsheet to I'bles and attach it here, if you or anyone else wants to play around with it. In principle, given the constraint that the five heads have to add up to 2, the five tails have to add up to 12, and you want the percentages to approximate real dice, it ought to be possible to set up an Excel optimization (Solver) to find the best solution. I'll leave that as an exercise for the reader.
I'm glad to see other people are Excel dorks like me :)
While I was fiddling for this 'ible I did consider using 1/2/2/3/4, but eventually settled on 1/1/3/3/4 because it created more variation in the rolls, rather than having 2/12 = 3/11 and 5/9 = 6/8. But both ways work and I think both would be fun to play. I guess it comes down to how much you want the robber to come into play. :)
I wasn't expecting people to be interested in the probabilities, but since you are I'll include my spreadsheet. It also shows the probabilities of 'drawing' Development cards using coin flips rather than a deck of 25 cards.
Wow! You really did that by brute force :D You might be interested in a few of the functions I used to simplify the calculations (I did not do things as efficiently as a real Excel expert would have done it).
I don't really understand why you try to force a similar probability instead of creating an event with exactly the same probability. A roll of two dices is a sum of two numbers 16. Using 3 coins with values 1/2/4 you obtain numbers from 0 to 7. Ignoring the 0 and 7 (just repeat in those cases), you have exactly the same probability of a 1d6. Now do the same a second time for simulating the second dice and sum up the results.
Said that, instead of using coins I think it makes more sense to have a dice roll app at your phone or, in the worst case, use a timer and the value of the last decimal as result for each dice (ignoring 0,79)
oh, and here's the .xls file.
:) Thank you for this! I'm still using Office X on my Mac. The only way I can read these newfangled ".xlsx" and ".pptx" and ".docx" files is by letting Google have its way with them :/
This is a great idea thank you :o)
I have made up a write on/wipe off copy for printing/laminating to save me remembering exactly how to write it up lol if anyone would like to use it
https://www.instructables.com/id/HowtoplayCatanwithpenandpaperandloosecha/
Many thanks x
thanks!
Very creative. This technique can be used to design a new board game! 5*
Awesome! Wonderful idea and very practical!