Formed core sandwich structures

A formed core sandwich structure comprising:

• an inner skin;
• an outer skin;
• and
• a first formed core, wherein a formed core comprises a first and second plurality of pyramidal frustum bases, the first plurality of pyramidal frustum bases extending in a first direction and the second plurality of pyramidal frustum bases extending in a second direction different from the first direction, and wherein each pyramidal frustum base comprises:
• a node comprising a convex regular polygon, the convex regular polygon comprising a plurality of sides, wherein the convex regular polygon is oriented in a first plane and wherein each side of the polygon of the node of each of the first plurality of pyramidal frustum bases is parallel to a side of the polygon of the node of at least one of the second plurality of pyramidal frustum bases;
• a plurality of faces, each one of the plurality of faces extending from each of the sides of the polygon of each node of the first plurality of frustum bases to a side of the polygon of each of the second plurality of frustum bases;
• a region of intersection of four faces, each of the four faces selected from a different one of the group consisting of two of the first plurality of pyramidal frustum bases and two of the second plurality of pyramidal frustum bases, wherein the region of intersection comprises a region of negative Gaussian curvature;
• and
• at least one cross-section in a second plane parallel to the first plane, wherein the first and second planes are not co-planar and wherein at least one cross-section comprises a polygon with the same number of sides as the polygon of the node.