All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 A Point and a Cube (Posted on 2004-07-16)
Before tackling this one, take a look at this one.
```     +-------------D
/|            /|
/ |           / |
/  |          /  |
/   |         /   |
C-------------+    |
|    |        |    |
|    B--------|----+
|   /         |   /
|  /          |  /
| /           | /
|/            |/
+-------------A
```
A, B, C and D are non-adjacent vertices of a cube. There is a point P in space such that PA=3, PB=5, PC=7, and PD=6. Find the distance from P to the other four vertices and find the length of the edge of the cube.
There are two answers, one with P outside the cube and one with P inside the cube.

 No Solution Yet Submitted by Brian Smith Rating: 4.0000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: Heuristic computer solution for modified problem | Comment 11 of 23 |
(In reply to Heuristic computer solution for modified problem by Charlie)

If PD is reduced to 6, we seem to be able to get an internal point:

`x     y     z       size       2.881 4.065 0.421;  5.4880  3.0000  5.0000  7.0000  6.0000`

as well as an external point

`x     y     z        size1.787 3.891 -2.581;  3.0898  3.0003  5.0000  7.0000  6.0000`

(The choice of internal or external point can be influenced by the choice of initial randomization limits.)

 Posted by Charlie on 2004-07-18 20:18:01

 Search: Search body:
Forums (1)