No. The numbers do not satisfy the Euler characteristic.
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The Euler characteristic requires that Vertices + Faces = Edges + 2 Here that would require 6 + 7 = 15 + 2 or 13 = 17 which is clearly not true. So there cannot be a polyhedron with the stated configuration.
A heptahedron has 7 faces. It can have 6 vertices and 11 edges, or7 vertices and 12 edges, or8 vertices and 13 edges, or9 vertices and 14 edges, or10 vertices and 15 edges.
There is no regular solid with 13 faces.
13
To determine the number of triangles that can be formed within a 13-sided polygon, we can use the formula nC3, where n is the number of vertices in the polygon. In this case, n = 13. So, 13C3 = 286 triangles can be formed within a 13-sided polygon.