the subject of geometry and proportions has been regarded as an issue which has a close relationship with architecture. since the entire universe, living beings and the human geometry can be seen clearly, that’s why our unconscious essence has accustomed to these proportions whereby reflection of this mentality can be seen in the architect’s hands and thought in the architecture. it can witness...

nature displays profound preference for certain specific ratios to design her life-forms. these are geometric relationships that are transcendent and originated from sacred geometry. the view that geometry had a ritual origin is a part of a wider view that civilization itself had a ritual origin, and therefore the history of utilization of sacred geometry by man goes back to many centuries ago....

context periodontal plastic surgery can help people improve their lives by addressing aesthetic parameters of their smile. much of what comprises a beautiful and appealing smile is influenced by emotion and personality; however, many structural elements of a smile can be improved through surgical intervention. evidence acquisition the end result often lends significant support to people who wis...

This study presents some mathematical methods for estimating the critical properties of 40 different types of alkanes and their derivatives including critical temperature, critical pressure and critical volume. This algorithm used QSPR modeling based on graph theory, several structural indices, and geometric descriptors of chemical compounds. Multiple linear regression was used to estimate the ...

Background and Aim: The proportion of smile is a useful tool for creating geometric smiles which are a critical aspect in esthetic dentistry. The aim of this study was to determine the effect of lip line position on acceptable Recurring Esthetic Dental (RED) proportion among lay people. Materials and Methods: A photograph of pose smile of a young female was taken. The position of the lip was c...

The subject of geometric modelling is a blend of different types of geometry, some mathematical modelling, some numerical analysis, and discipline specific applications. In these course notes, we will concentrate of the subdiscipline of geometric modelling known as computeraided geometric design, which was formed from the mathematical structures and methods used in CAD/CAM systems and subsequen...