1. Single 9-block
  2. Thirty-two 9-blocks
  3. Template for 3zees
  4. Sample Distribution
  5. Guide to Sample Stalagmite Model

Netlogo Models

  1. 9 Blocks
  2. Sample Stalagmite
  3. Sampler
  4. Sampler client


  1. Ways of Counting
  2. Tree Counting
  3. Binary Counting
  4. Concatenation
  5. Two Square Concatenation
  6. Other Concatenations
  7. Quantity Groups
  8. Independent Events
  9. Dependent Events
  10. Calculating Probability
  11. Counting Reconsidered
  12. Probabiliy Formula
  13. Independent Events Formula
  14. Apply Independent Events Formula
  15. Stalagmite Riddle

Related Links

Quantity Groups

We also talked about different ways of grouping the different colorings to make sure we had all of them.

One strategy is to find all the colorings with zero greens, then all the colorings with one green, then two greens, etc. until we got to nine greens.

How many colorings are there with exactly two greens? Below is a set of 2zees made from a single 1zee template. When one square has been chosen as anchor, there are 8 possible places for the second move. There are nine 1zee templates, one for each square in the 9-block, so there should be 9 * 8 = 72 2zees, right? If not, what's wrong with that logic?

How Many 2zees?

How would you calculate the number of 3zees? How would you divide up the work of coloring the 4/9 or 5/9 sets?