Fractal geometry, pioneered by physicist Benoit Mandelbrot, has been used to model many seemingly complex natural structures, from snowflakes to the branching patterns of streams, by repeatedly applying a simple mathematical formula.
While surface instabilities of ideal bilayer structures with large contrasts in elastic stiffness are well understood, many natural and man-made structures are far from this ideal.
These peptides had remarkably diverse sequences and structural propensities not limited to an amphipathic α-helical structure although many natural linear short peptides adopt an α-helical structure, suggesting that the potential of an amphipathic structure of short peptides may not be the prerequisite of LPS-binding affinity [ 33].
They possess interesting properties as flavoring agents 1 and pheromones, 2 are present in the structures of many natural products (e.g., Pulicatin B 3 and micacocidin 4), and are useful as chiral ligands in asymmetric synthesis 5.
From I, several outcomes could be envisaged to give functionalised indenes, of interest due to their function as core structures in many natural products 15 and pharmaceuticals, 16 as well as being useful ligands for transition metals.
The hierarchical structure mimics many natural processes for achieving high shear strength.
As mentioned before, in addition the planar wax structures, such as films and platelets, many natural plant waxes develop irregular three-dimensional morphologies, or structures such as threads and tubules with a large extension in one direction.
Purine is not common, but the purine structure occurs in many natural substances.
Many natural materials fluoresce because of their structure, he notes.
Many natural and man-made materials exhibit structure over more than one length scale.
