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An origami extrusion is a folding of a 3D object in the middle of a flatpiece of paper, using 3D gadgets which create faces with solid angles. Our mainconcern is to make origami extrusions of polyhedrons using 3D gadgets withsimple outgoing pleats, where a simple pleat is a pair of a mountain fold and avalley fold which are parallel to each other. In this paper we present a newtype of 3D gadgets with simple outgoing pleats in origami extrusions and theirconstruction. Our 3D gadgets are downward compatible with the conventionalpyramid-supported gadgets developed by Calros Natan as a generalization of thecube gadget, in the sense that in many cases we can replace the conventionalgadgets with the new ones with the same outgoing pleats while the converse isnot always possible. We can also change angles of the outgoing pleats undercertain conditions. Unlike the conventional pyramid-supported 3D gadgets, thenew ones have flat back sides above the ambient paper, and thus we can makeflat-foldable origami extrusions. Furthermore, since our new 3D gadgets areless interfering with adjacent gadgets than the conventional ones, we can usewider pleats at one time to make the extrusion higher. For example, we provethat the maximal height of the prism of any convex polygon (resp. any triangle)that can be extruded with our new gadgets is more than 4/3 times (resp.$\sqrt{2}$ times) of that with the conventional ones. We also present explicitconstructions of division/repetition and negative versions of the new 3Dgadgets.

New efficient flat-back 3D gadgets in origami extrusions compatible with the conventional pyramid-supported 3D gadgets