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Origamic architecture is a form of kirigami that involves the three-dimensional reproduction of architecture and monuments, on various scales, using cut-out and folded paper, usually thin paperboard. Visually, these creations are comparable to intricate 'pop-ups', indeed, some works are deliberately engineered to possess 'pop-up'-like properties.
In more advanced states, the later foliation will tend to form distinct foliation planes cross-cutting the earlier foliation, resulting in breaking, warping, and micro-scale folding of the earlier foliation into the new foliation. When the crenulation foliation begins to dominate it may totally or almost completely wipe out the original foliation.
2-dimensional section of Reeb foliation 3-dimensional model of Reeb foliation. In mathematics (differential geometry), a foliation is an equivalence relation on an n-manifold, the equivalence classes being connected, injectively immersed submanifolds, all of the same dimension p, modeled on the decomposition of the real coordinate space R n into the cosets x + R p of the standardly embedded ...
This is related to the axis of folds, which generally form an axial-planar foliation within their axial regions. Measurement of the intersection between a fold's axial plane and a surface on the fold will provide the fold plunge. If a foliation does not match the observed plunge of a fold, it is likely associated with a different deformation event.
Intersection lineations are measured in relation to the two structures which intersect to form them. For instance, according to the measurement conventions of structural geology , original bedding, S 0 intersected by a fold's axial plane foliation, forms an intersection lineation L 0-1 , with an azimuth and plunge defined by the fold.
Multifoil arch in the Aljafería, Zaragoza, Spain. A multifoil arch (or polyfoil arch), also known as a cusped arch, [1] [2] polylobed arch, [3] [4] or scalloped arch, [5] is an arch characterized by multiple circular arcs or leaf shapes (called foils, lobes, or cusps) that are cut into its interior profile or intrados.
A fold axis "is the closest approximation to a straight line that when moved parallel to itself, generates the form of the fold". [2] (Ramsay 1967). A fold that can be generated by a fold axis is called a cylindrical fold. This term has been broadened to include near-cylindrical folds. Often, the fold axis is the same as the hinge line. [3] [4]
In geology, 3D fold evolution is the study of the full three dimensional structure of a fold as it changes in time. A fold is a common three-dimensional geological structure that is associated with strain deformation under stress .