DAY 45

Comment

On a flat surface, the shortest distance between two points is a straight line.
How does his apply to the three dimensional block?

Answer

AUG is the shortest route.

Readers' methods

F K, Praha:
I imagine the two faces ABCD and DCGH, joined along edge DC, laid flat on my desk.
Then the straight line from A to G passes through U.
So AUG is shortest.

Anon:
Using Pythagoras' method
ADG = 6.47
ATG = 5.84
AUG = 5.66
AVG = 5.84
ACG = 6.47.
Hence AUG is the shortest route.

Ram K C, Pune, India 411035:
ADG and ACG cover the same distance: 2 cm + 2 x (sq rt5) cm;
ATG and AVG cover the same distance: (sq rt 5) cm + (sq rt 13) cm;
AUG = 4 x (sq rt 2) cm, so AUG is the shortest.