of the
Week
|
Problem
of the Week |
Is it always possible to choose five points in 3-dimensional space so that the line through any two of them is perpendicular to the plane through the remaing three? If so, how; if not, why not.
For the more adventurous: Given any three points in 3-dimensional space, is it always possible to find two additional points so that the set of five points you just constructed satisfies the property above?
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ã2001 Alberto L. Delgado