801

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Start from the hand that has one ball, and throw it way high on the same side.
When it gets to the top, toss another '8' from the other hand,
then pass the last ball across.
The third ball lets you toss it next, and so not toss an '8' from catching an '8'.
To exit to Cascade, hold two of the balls, and toss them into Cascade as the third returns.

To do this from 3-Cascade requires "transition" tosses:

[edit] 46 801 302

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"Could someone explain how this isn't just a high 441? I'm just not seeing it. Thanks."

For what your hands do, they are the same. The difference is in what the balls do as a pattern.

'441' makes two '4's on each side, with the effect of four columns or loops across the pattern.
It does that little magic with three balls by sharing one ball via the '1' pass.
There really are at most one going up and one coming down on one side, with one on the other.

With '801' there is only one going up, or coming down, on each side.
It literally trades the '4' plus the '4' heights of two balls for one '8' height:
an interesting illustration of the concept of "beats" in site-swap.

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You can turn this into a much harder drill, and useful for learning six or eight, with:

[edit] 808011

The double pass keeps the heights honest, no matter how high you are tossing.

The transition from 3-Cascade for this one would be as '45 808011 30' or
you can start "cold" by two very high loops from one hand, and pass the third ball at the right time.

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