Champagne glass

Champagne glass (or 45P22.1) is a period-22 billiard table oscillator discovered by Dean Hickerson on April 19, 1997,[1] being found only two days after 168P22.1. In terms of its 45 cells, it is the second smallest known non-trivial period 22 oscillator, behind 36P22 with only 36 cells.[2] It contains a bookend acting as an induction coil.

Champagne glass
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Pattern type Oscillator
Oscillator type Billiard table
Number of cells 45
Bounding box 15×12
Period 22
Mod 11
Heat 3.1
Volatility 0.31
Strict volatility 0.28
Discovered by Dean Hickerson
Year of discovery 1997

Whereas its rotor reflects itself after half a period, saving two live cells by using a bookend rather than a house as an induction coil breaks the overall symmetry of the figure.

A 58-cell variant of champagne glass
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gollark: It has only been an hour or so.
gollark: Sadly, it appears that the new person is leaving.
gollark: Oh, you said and I didn't scroll down, silly me.
gollark: I heard somewhere that it got shortened to chi-mas, and the Greek letter chi looks like x.
gollark: "Okay", kite.

References

  1. Dean Hickerson's "New billiard tables" oscillator collection
  2. "Class 2 Objects Catalog". Retrieved on April 9, 2009.
  • 45P22.1 at Heinrich Koenig's Game of Life Object Catalogs
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