I'm old but still have shape. I can go down the stairs albeit I might be late. Gravity is my friend but I'm no physicist. I can't stand the fidget, this I tell my therapist. I know gravity very well. Gone are the days I reigned at show-and-tell.

I'm literally what one does when rotating a tile; Walkthrough me to visit the zoo, And to make your train too.

A symbol of my desire and vision sometimes perch atop of mountains spire

I have multiple meanings, as you will see: To enter a plane is one of many. I am also used for floors, did you know? And I glide over water and on snow. Also, I govern a corporation and their management. Or I offer lodging and meals to those willing to pay rent.

Fly me to the moon, or Make me out of a bottle of soda and some mentos. Either way I fly into the sky at high speed.