Exercise differences

[Lhin]

In "Standing Core" there are both rotations and twists. What is the difference?

Also, what is the difference between a crossack squat (Total Body, day 8) and a side to side lunge with toe point, like shown here?

 

[Fremen]

In "Standing Core" there are both rotations and twists. What is the difference?

In rotations, keep your torso still, looking straight ahead, and only your hips rotate in a circle.
In twists you rotate your entire torso to the right and left.

Also, what is the difference between a crossack squat (Total Body, day 8) and a side to side lunge with toe point, like shown here?

Typically in side to side lunges you stand a little higher in stance, your supporting foot is completely on the ground, the same way you would with weights, you don't lift your heel.

In the Cossack squat you descend completely onto the supporting foot and completely rotate the other foot, pointing upwards, resting only on the heel, the position is much lower, the maximum you can manage.

In most videos you find explaining it, it is shown exactly like a side lunge where you lift your toe a little, just a little.
In the video @neilarey does a mix of the two, keeping the heel raised makes it easier and quicker to switch from one exercise to the other.
It's not wrong, it's just a variation

 

[Lhin]

Thanks a lot Fremen I think I understand now