Building 3D Space

Building 3D Space

Suppose I have a collection of identical balls. Each has 6 connectors on its surface - 2 red, 2 green and 2 blue.

Then I have cables that come in 3 varieties, red, green and blue. Red cables can only plug into red connectors, green cables can only plug into green connectors and blue cables can only plug into blue connectors.

Now I specify a simple constraint: ever ball must have all its connectors filled.

Bingo - the system is a 3D system. Or is it?

Content written and posted by Ken Abbott