Documents

  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

Discussions

  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

Other Concatenations

Here is a concatenation table to get all of the colorings of a row of three squares.  We used the results of the two-square concatenations to get the column headings for this table:

o

bb

bg

gb

gg

b

bbb

bbg

bgb

bgg

g

gbb

gbg

ggb

ggg

Notice that we have 2^3 = 8 different results.

We can create all the possible colorings of four squares by creating a table with 8 columns and concatenating each string with either a or b.  Or we could use the results of the 2-square table like this:

o

bb

bg

gb

gg

bb

bbbb

bbbg

bbgb

bbgg

bg

bgbb

bgbg

bggb

bggg

gb

gbbb

gbbb

gbgb

gbgg

gg

ggbb

ggbg

gggb

gggg

If we continue this process until we get strings of 9, how many strings do we end up with?