perplexus.info :: Geometry : Wrapping an Equilateral Triangle

Wrapping an Equilateral Triangle (Posted on 2005-10-10)

You have an equilateral triangle you want to wrap with a square piece of paper. If the triangle has unit sides, what is the smallest square piece of paper that can be folded around the triangle such that both the front and back sides of the triangle are completely covered by the paper?

Submitted by Brian Smith

Rating: 3.5000 (2 votes)

Solution: (Hide)

The smallest square has sides of 3/(1+sqrt(3)) = 1.0981.
One vertex of the triangle is on the midpoint of a side of the square and the opposite side of the triangle is parallel to a side of the square.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
the answer!!!	james	2005-11-11 16:14:59
Some Thoughts	CeeAnne	2005-10-17 13:34:48
re(6): my solution ( oops )	Tristan	2005-10-14 22:01:04
re(5): my solution ( oops )	Michael	2005-10-14 15:50:50
re(4): my solution ( oops )	Tristan	2005-10-14 05:16:52
re(3): my solution ( oops )	Michael	2005-10-14 05:06:12
re(2): my solution ( oops )	Tristan	2005-10-13 23:26:53
re: my solution ( oops )	Michael	2005-10-13 03:28:11
my solution	Michael	2005-10-13 03:22:36
Solution, with visuals	Tristan	2005-10-12 16:41:42
from what I can tell...	Tristan	2005-10-12 16:11:55
re: estimate	Michael	2005-10-11 23:20:25
No Subject	CeeAnne	2005-10-11 20:03:53
estimate	Jer	2005-10-11 19:15:06
by symmetry	Ady TZIDON	2005-10-11 16:36:16

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