Simplices with equiareal faces
classification
🧮 math.MG
keywords
facessimplicesequiarealdegeneratecongruentelementaryeuclideanevery
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We study simplices with equiareal faces in the Euclidean 3-space by means of elementary geometry. We present an unexpectedly simple proof of the fact that, if such a simplex is non-degenerate, than every two of its faces are congruent. We show also that this statement is wrong for degenerate simplices and find all degenerate simplices with equiareal faces.
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