Worksheet for the game of SET 1. A deck of SET cards can be

Worksheet for the game of SET
1. A deck of SET cards can be thought of geometrically, where each card is represented by a point in
space, and three points are collinear if and only if the corresponding three cards form a “set”.
Using a deck of SET cards, can you produce the following 2-dimensional (on a plane) geometric
configurations? For any that you feel cannot exist within a deck of SET cards, prove it!
2. What does a deck of SET cards, with two attributes fixed, look like geometrically?
3. What does a deck of SET cards, with one attributes fixed, look like geometrically?
4. What does the entire deck of SET cards, look like geometrically?
5. If two attributes are fixed, how many cards could you place on the table so that no sets
are present?
6. If one attribute is fixed, how many cards could you place on the table so that no sets are
present?
7. From a complete deck, how many cards could you place on the table so that no sets are
present?