math

125 readers

2 users here now

founded 1 year ago

Pick two opposite corners of a cube with side length 1. What is the minimum length of a path between these two points, assuming we travel on the cube's surface? (lemm.ee)

submitted 1 year ago by [email protected] to c/[email protected]

3 comments fedilink hide all child comments

A puzzle, hope people enjoy!

you are viewing a single comment's thread
view the rest of the comments

[–] [email protected] 3 points 1 year ago (1 children)

I'm sure there's a more technical explanation, but my assumption is two lines forming 45 degree angles at the corner of the points so ((1^2+0.5^2)^0.5)*2= 5^0.5 or square root of 5 or roughly 2.236

Sorry for the formatting. I'm on mobile and missing some symbols that would make that easier to read

permalink
fedilink
source
hideshow 2 child comments

[–] [email protected] 2 points 1 year ago

I thought it would be 2*sqrt(1.5)=2.449

Or for side x it will be 2sqrt(1.5x^2)

permalink
fedilink
source
parent