The diameter of the helix ( HD) and the height of the helix extension ( HE) have a direct and constant proportional ratio to the pentagon edge length ( PL) and the pentagon height ( PD).įrom the preceding figure, PL=a and PD=b+c obeys the following expression:įrom which the exact values of PD, HD and HE can be numerically dermined: A complete turn of the helix is formed by progressive rotation and extension of the ten regular pentagonal prisms ( iii). When translated into 3D, these pentagons would become prisms with all lengths equal ( ii). Theoretically, it is possible to construct a helix from almost any series of polygons, there happens to be only one polygonal formation that would fulfil all the necessary criteria: ten regular pentagons orientated about a decagon (Figure 1).įigure 1: Geometric structure of the DNA based on Sacred Geometry (reproduced from ): 2.- Sacred Geometry under the DNA molecule This re-reading of DNA engenders a high simplicity and purity when applied to the molecular structure of the bases. Furthermore, a set of simple mathematical relationships involving Sacred Geometry describe a three-dimensional geometric helix that conforms to the known ratios of DNA. This realignment is founded entirely upon geometric principles. Curtis proposed a resolution of the geometrical inconsistencies by means of a simple change in the position of alignment between the purines and pyrimidines. Without compromising the essence of their structure, Mark E. Although some research has even gone so far as to question the very existence of the double helical structure itself, his proposal retains the double helix as its fundamental basis. He discovered that a growing minority do recognise flaws in Crick and Watson’s conclusions, specifically in terms of its topology and thereby the ability of the structure to replicate itself. Indeed his attempts to translate their theory from 2D into 3D ran into considerable topological problems. In the course of his work, discrepancies emerged, and it became clear to him that the Crick and Watson structure did not conform to geometric principles. He embarked on scale drawings of the helical structure using the standard textbook dimensions that derive from x-ray diffraction data. Curtis began an investigation into the structure of DNA with the intention of producing a series of drawings and paintings of the double helix. Therefore their ratio, 1.6190476 closely approximates the Golden Ratio φ=1.6180339.Īlmost 20 years ago, Mark E. 34 and 21 are two consecutive numbers in the Fibonacci series. It is well known that each complete turn of the DNA double helix measures 21 amstrongs wide by 34 amgstrongs long. This article is devoted to the dimesions of the DNA molecule based on the research by Mark E.
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