  Using a clear and straightforward approach, we prove new ternary (base 3)
digit extraction BBP-type formulas for polylogarithm constants. Some known
results are also rediscovered in a more direct and elegant manner. A previously
unproved degree~4 ternary formula is also proved. Finally, a couple of ternary
zero relations are established, which prove two known but hitherto unproved
formulas.
