Perpetuum Mobile Help please

[dlcatftwin]

Hi all,
I'm having a good time with Perpetuum Mobile and am most done (I believe). But am stuck at Room 21090, where the two platforms do not go down far enough to be able to get to the conveyer belt with the purple key.

Below it is room 21290, where the vine is just

too short

for Jack to grab it (so he can get to 21090 from below - see my picts attached).
So what's a traveler to do? Help most appreciated.
Many thanks,
DLC

[otg]

Hint in white text ----> in 21090, if you're quick enough, you can get off the platform without dying...

[rose]

dlcatftwin - I don't use the bricks to go to the purple key. I do some daring long jumps!

[aquaMat]

Rose said it......

...that's the way it works.      8-)

More in white:

Take the moving platform to the

middle cage

, from there do a big jump towards the lower right etc.

[dlcatftwin]

Hey, thanks you guys! Once done it was plain as day.
As they say

so close it would bite you!

I made it!
Thanks again,
DLC