distance between planes in a simplex

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fleksy

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In an Euclidean space there are n points at equal distances d to each other (regular simplex). Find out a distance between two parallel planes, one spanned at points numbered 1 through k, the other at points k+1 through n.
 
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fleksy said:
In an Euclidean space there are n points at equal distances d to each other (regular simplex). Find out a distance between two parallel planes, one spanned at points numbered 1 through k, the other at points k+1 through n.
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What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?

Please be complete. Thank you! :wink:
 
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