I can't draw this online, but let me describe one pattern.

For one flange, the 4 radial spokes go 90° apart, lets call those holes in the rim 0, 6, 12, & 18 The radials on the opposite flange would be 45° away, so holes 3, 9, 15, & 21.

Now the crosses, from the first flange would have to go to the same side of the rim, so holes 2, 4, 8, 10 and so on.

The opposite crosses would then go to 1, 3, 5, 7 ....

Now there's a choice where the crossed spokes go into the hub. They can use the holes nearest to the radial they cross, or they can skip a hole which would have the crossed spokes crossing the next triad as they leave the hub. This creates a problem which has to be dealt with by managing the heads in and out spokes, and has to be carried through the entire pattern. I wouldn't do this for a front wheel, but on a rear it has the advantage of widening the line of action of the crossed spokes (like more crosses in a normal pattern) and so may be advantageous.

I might add that I'm not a fan of these patterns, and find that traditional cross patterns, and radials do a better job of building durable wheels. I'll also add that triplet lacing shouldn't be used with light less rigid rims (opinion).