perplexus.info :: Shapes : Regular Hexagon and Mean Distance

Regular Hexagon and Mean Distance (Posted on 2022-10-14)

Part 1
Determine the mean distance between two random points on the perimeter of a unit (convex) regular hexagon.

Part 2
Determine the mean distance between two random points on the interior of a unit (convex) regular hexagon.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The mean distance between two random points on the perimeter of a unit (convex) regular hexagon is approximately 1.16265.
The mean distance between two random points on the interior of a unit (convex) regular hexagon is approximately 0.826.
For an explanation:
Refer to the solution submitted by Charlie in this location.
An analytical solution to part -1 has been furnished by Jer in this location.
An analytical solution to part-2 can be found in this location.

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

Subject	Author	Date
re(2): comment	Steven Lord	2022-10-14 12:44:08
re: comment	Brian Smith	2022-10-14 12:20:42
comment	Steven Lord	2022-10-14 10:59:16
Part 2: Answer by internet search (spoiler)	Steve Herman	2022-10-14 10:49:52
Simulations	Charlie	2022-10-14 08:28:24
Part 1	Jer	2022-10-14 08:15:11

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