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#### 1   Water and Wine

- [Water and Wine](/content/content/AjP4LmBCVrLijAWBHSghrg/index.html)

#### 2   The Chessboard Problem

- [The Chessboard Problem](/content/content/CgaO4rGqMHEu8FeY7bXidw/index.html)

#### 3   Knight's Tour

- [Knight's Tour (8x8)](/content/content/DysvmpbcYtYGA3WWaHoxdw/index.html)
- [Knight's Tour (8x8) - Closed Path](/content/content/Cv3bM3FrBmxZZe2sycHI4g/index.html)

#### 4   Can an Irrational Number to an Irrational Power be Rational?

- [Irrational Number to an Irrational Power](/content/content/A7mKDBd_UU44IpbPnwtwGg/index.html)

#### 5   What is John's Favorite Number?

- [What is John's Favorite Number?](/content/content/DBU6JhZsQk-28nJTDmTQYA/index.html)

#### 6   Stairway to Heaven

#### 7   Pennies from Heaven

- [Pennies from Heaven](/content/content/CiBuK1QAGXtNH5emHMNAOQ/index.html)

#### 8   The Simplest Irrational Number and a Challenge

#### 9   Sum of Polynomial Coefficients

- [Sum of Polynomial Coefficients](/content/content/DJT9cTwern3rNS3ttoyvlw/index.html)
- [Summation Formulas with Binomial Coefficients](/content/content/DCzXbx7E8LrCj6qh5s6yNg/index.html)
  - [The Sum k (n choose k)](/content/content/A9NH2xlMJc_vxbFrfpGMJQ/index.html)
  - [The Sum k^2 (n choose k)](/content/content/CdCCecKYmGOd-8GrygQboQ/index.html)
  - [The Sum 1/(k+1) (n choose k)](/content/content/BDTnyd2St1BcqT2rAVYAwA/index.html)

#### 10   Matrix Power Challenge

- [Raise a 3x3 Matrix to the Power of 2017](/content/content/A3Ypjk6lfmG8J9JogBTiVQ/index.html)