# Induction coil

An **induction coil** is any object used to stabilize an edge (or edges) of another pattern without touching. While still lifes and oscillators can be used as induction coils, there are also many induction coils that are not stable by themselves (such as table).

## Examples

The tubs on the sides of the Gray counter are used as induction coils, as are the blocks and snakes used in the Hertz oscillator and the heptomino at the bottom of the mathematician.

## Naming of induction coil systems

*Main article: Pattern naming*

Still lifes which contain induction coils are named depending on how the induction coils interact with each other.

This only counts cases where the two induction coils have a single, straight inducting face, and the resulting arrangement is disjoint (i.e. has at least two islands).

- Two identical induction coils

- If the induction coils in question are themselves mirror-symmetric, there are two possibilities:
- Mirrored [X]: where the arrangement has both mirror and rotational symmetry
- Rotated [X]: where the arrangement only has rotational symmetry, i.e. the components are skewed

- If the induction coils are asymmetric, there are five possibilities:
- Cis-mirrored [X]: Has mirror symmetry, and is not skewed
- Trans-mirrored [X]: Has rotational symmetry, and is not skewed
- Shift-mirrored [X]: Asymmetric, skewed
- Cis-rotated [X]: Has rotational symmetry, higher-density zones nearer center
- Trans-rotated [X]: Has rotational symmetry, higher-density zones near outside

- Two different induction coils

- If the induction coils in question are themselves mirror-symmetric, there are two possibilities:
- [X] and [Y]: where the arrangement has mirror symmetry
- Skew [X] and [Y]: the overall pattern is asymmetric

- If only one induction coil is mirror-symmetric, there are three(?) possibilities:
- Meta-[X] and [Y]: both faces are aligned
- Ortho-[X] and [Y]: skewed; dense part of asymmetric object is near center
- Para-[X] and [Y]: skewed; dense part of asymmetric object is near outside

- If both induction coils are asymmetric, there are six possibilities:
- Cis-[X] and [Y]:
*roughly*mirror symmetric - Trans-[X] and [Y]:
*roughly*rotationally symmetric - Shift-[X] and [Y]:
*System unknown* - Meta-[X] and [Y]:
*System unknown* - Para-[X] and [Y]:
*System unknown* - Ortho-[X] and [Y]:
*System unknown*

- Cis-[X] and [Y]:

- Induction coil stabilised by an object which is stable by itself

When an induction coil is stabilised by a still life, the still life is said to be *on* the induction coil (e.g. block on table). This is in contrast to *and*, which is used for two mutually-stabilising induction coils (e.g. table and dock).

## Working list

To adjust patterns manually, it is convenient to have the small and useful induction coils handy. However, as the examples show, stabilizing a long edge can usually be accomplished by judiciously placing snakes, blocks and occasionally tubs along its length. Due consideration must be given to their spacing, and especially the overhang at edges and corners. Common short coils follow:

length | Preblock stabilizer | - | - | ||
---|---|---|---|---|---|

3, 3 high | |||||

3, 4 high | - | ||||

3, 5 high | - | ||||

4, 2 high | - | - | |||

4, 3 high | |||||

4, 4 high | |||||

5, 3 high | - | ||||

5, 4 high | |||||

6, 3 high |

## See also

## External links

- Induction coil at the Life Lexicon

- List of Induction Coils (discussion thread) at the ConwayLife.com forums