Christmas Tree, O Christmas Tree

Here I will post a series of (mostly) simple challenges to amuse you in the run-up to Christmas. I'll try to post one each weekday.
DDRM
Posts: 398
Joined: Mon 02 Apr 2018, 18:04

Christmas Tree, O Christmas Tree

Post by DDRM »

A Christmas tree is made up of triangular-shaped sections, each half the size of the previous one, placed one on top of another. Ignoring the trunk at the bottom, how many such sections can be fitted in before the tree becomes twice as tall as the first section? Bonus points for a graphical demonstration (until the sections become too small to plot, if appropriate).