Three digit games

We're particularly interested in "quaternary" games, with code digits 0, 1, 2, and 3 only, and also games
that involve only one 4-bit.   

There are some games (.31 "Stalking", and .123) that don't reduce to nim, but are systemizable.

In fact every quaternary game is systemizable?  Is that known?  Maybe Yamasaki?

We want to look for games that are "like" Flanigan's .34.

The Game 4.7

KNOTS/DAISIES

30 Apr Notes

Normal play nim sequence periodic of length 2 ---- *1, *2, etc

The Game .115

Status: Open

Single heap genera periodicity may be in reach with more calculation.  This is a good candidate for a hard solution, but one needs good methods to attack it.

The Game .157

WW page 105, top, normal play nim sequence pure period length = 6.

Not tame:  heap size 13 is a4[0,2,3]

NOTE ADDED 30 APRIL 2003.  This game looks like it is closely related to 4.7 (Knots, aka Daisies).  It's triplicate Knots.

The Game .316

Status:  OPEN, Not tame

Periodic single-heap genera, which makes it look tractable

Notes added 4 May 2003

We'll explore the single heap periods.

The heaps at 4,16,28, ... and 6, 18, 30, ... all have genus {2,{1,4,2,0}} and seem to satisfy A+A=0