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We introduce a method of differentiation of the length of a variable linear segment with respect to three variable linear segments which generalizes the first variation formula in the three-dimensional Euclidean space. Applying this method, we derive a generalized Gauss tree for a heptagonal pyramid (closed octahedron) by placing two vertices with positive weights at the interior of the convex hull having degree five. Applying the plasticity principle of closed hexahedra, we obtain a plasticity principle of a generalized Gauss tree for a boundary heptagonal pyramid in the three-dimensional Euclidean space.

A plasticity principle of some generalized Gauss trees