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Plato's Five Gems: Cube Mystery Cache

This cache has been archived.

firstbass: Behold the Promised Land.

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Hidden : 12/11/2007
Difficulty:
3 out of 5
Terrain:
2.5 out of 5

Size: Size:   small (small)

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Geocache Description:


Ice Cube says, "You can do it... you got to think to win..."


The cache is not at the posted coordinates.

The cache is a small cubic lock'n'lock. It contains a gift card for the first to find and also contains several cubic dice.

The cache also contains a clue to the final coordinates for Plato's Five Gems: Bunganator's Grand Slam.

The Cube, or Hexahedron, is one of the five Platonic Solids. A Platonic solid is a convex polyhedron that has identical regular polygons for faces and has the same number of faces arranged around each vertex. See my blog for a proof that there are only five Platonic solids.

The Cube has six faces that are squares, with three of the faces arranged around each of the eight vertices, and 12 edges.

To find the coordinates of the cache, complete the 3D number find below. Find all the four-digit numbers that are cubes of whole numbers.

For example, 1000 = 10 x 10 x 10, and 1000 can be found in the vertical line in the back left of the cube. The numbers can be vertical, horizontal, or diagonal, in any vertical, horizontal, or diagonal plane.



You can check your answers for this puzzle on Geochecker.com.

Additional Hints (No hints available.)