Correlation of Fibonacci Sequence and Golden Ratio With its Applications in Engineering and Science

Chavan, A; Suryawanshi, Chetan.V.

doi:10.31033/ijemr.10.3.5

Cited by 1 publication

(2 citation statements)

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“…Table 3 summarizes the symmetry results. The width of the facial contour and the visible width of the maxillary posterior teeth (2)(3)(4)(5)(6)(11)(12)(13)(14) showed that for the most posterior we look at there is less visible facial contour of the upper right posterior teeth than the upper left posterior ones, or no visible facial contour (Table 4). The anterior maxillary zirconia restorations measured by their epoxy replicas did not follow the golden proportion (Figure 4A).…”

Section: Symmetrymentioning

confidence: 99%

“…The concept of the golden proportion is not restricted only to dentistry, but has also been widely applied in other fields, such as art, engineering (e.g., building construction), and modern architecture (e.g., in windows, furniture, and cars). Indeed, it is found in nature in shells, flowers, trees, hurricanes, and the alignment of the planets, just to name a few [13].…”

Section: Introductionmentioning

confidence: 99%

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Laboratory Characterization of In-Service Full-Mouth Rehabilitation with Monolithic Translucent Zirconia Restorations

et al. 2021

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The chance to critically and microscopically inspect the quality of bonded restorations once they are delivered to the patient after several pre-cementation steps is rare or nonexistent. Replicas of in-service restorations can provide a wealth of information on the integrity of the restorations and moreover make it possible to bring this information to the laboratory for further detailed analysis. This study aimed to characterize the epoxy replicas of 27 cemented monolithic yttria-stabilized zirconia crowns of the maxillary and mandibular arch to assess surface roughness, topography, and symmetry. The topography of the facial, lingual, and occlusal/incisal surfaces of each crown was observed under the optical microscope and further characterized using the scanning electron microscope. Surface roughness measurements were performed using the atomic force microscope. The optical microscope was used to measure the golden proportion and visible width of the anterior maxillary crowns. Surface damage consistent with unpolished adjustment was identified mostly in the occlusal surface of the posterior teeth. Other irregularities, such as scratch marks, small pits, and coarse pits were also found. The surface roughness had great variability. Not all of the anterior maxillary and mandibular teeth followed the golden proportion concept. This study design allows in vitro characterization of in-service restorations. It provides a framework for using replicas for early identification of patterns or features that can trigger fracture and for analysis of morphology and symmetry.

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