incubation/arbitrary_selection_mechanics.md

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# Arbitrary Selection Mechanics
## Coin
- Heads: `0`
- Tails: `1`
## Dice Mapping
| Die Value | Coin Flip Encoding |
|-----------|--------------------|
| `1` | `100` |
| `2` | `010` |
| `3` | `110` |
| `4` | `001` |
| `5` | `101` |
| `6` | `011` |
| `7` | `111` |
| `8` | `000` |
## Background
- coin flip values based on binary numbers
- `0` is highest value on selection lists
- encodings are indexed starting at `1`
- coin forces `8` possible values
- `111` and `000` are "special options"
- `free choice` as option
- `re-roll` as option
## Mechanic
- list and number options
- up to `6` or `8` based on die/coin selection
- if half as many, give each choice multiple numbers
- roll die once or flip coin 3 times
- note/remember each coin flip result
- lookup choice based on value obtained
- act upon the choice
## Example Lists
### Yes / No / Maybe
| Value | Choice |
|----------|--------|
| `1`, `4` | Yes |
| `2`, `5` | No |
| `3`, `6` | Maybe |
## Activity
| Value | Choice |
|----------|---------------|
| `1`, `5` | Park |
| `2`, `6` | Movie |
| `3`, `7` | Coffee |
| `4`, `8` | Nature Center |
## Adult Time
| Value | Choice |
|--------------------|-----------------|
| `1`, `3`, `5`, `7` | Dinner / Movie |
| `2`, `4`, `6`, `8` | Netflix / Chill |