Applet by Michael Morton

Traffic Jam is a game for any even number of people, but it's probably best
begun with 1, 2 or 3 on each side. Some of us tried it first with fewer
people before going on to experiment with 3 people at each end of the
group.

People must attempt to exchange places without turning around, so that a configuration that begins as:

- If a space in front of you is empty, you may move forward into it.
(If a space behind you is empty, you may move backward, but this will
probably not be the most economical way to accomplish your goal.) We called
this move a
**slide**. - If there's an empty space in front of the person directly in
front of you, you may
**jump**the person in front of you and move into the empty space*unless*you're both facing in the same direction (players facing in the same direction may not jump each other). - You may not turn around.

### Questions considered by the whole group:

- What's the minimum number of moves necessary for two people on a side? for three people on a side?
- What's the pattern in the number of moves it takes and the number of people on a side?
- What formula can account for the minimum number of moves for any number of people on a side?
- What pattern of 'slides' and 'jumps' can be found, and how is it related to the number of people on a side?
- What directions does a group follow to accomplish the task with the minimum number of moves?

If questions/suggestions, mailto: kingskid@netrover.com

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