a knitting vocabulary question

With the basic stitches, what is "rechts verschränkt" called in English? I know that "rechts" is "knit" and "links" is "purl" in knitting terminology, but how do you name that other difference, i.e. whether you sort of twist the stitch -- a "rechts verschränkt" stitch is one where (assuming right handed knitting) you have the yarn behind the needles and insert the right needle from the right into the stitch when you knit the next, whereas a plain "rechts" is when you insert the needle from the left. "Links verschränkt" meanwhile means that the yarn is in front of the needles and you insert the right needle from the right and behind the loop of yarn on the left needle, whereas plain "links" has you insert the needle from the right too but just through the loop (without that twist). I tried looking up the symbol in English language knitting charts, but it seems the knitting symbols aren't normed internationally. In German patterns usually "rechts" is a black square whereas "rechts verschränkt" is a black diamond shape.