An Analysis of Golden and RED Proportion in Aesthetic Smile: Prevalence and Application | Chapter 2 | Achievements and Challenges of Medicine and Medical Science Vol. 1

Smile designing has long been considered a subjective art. Most of the aesthetic disciplines have prescribed proportions and ratios to improve aesthetics. A beautiful smile is the most striking feature on the face. However, beauty is not absolute and is extremely subjective. The aim of this study is to determine the prevalence of ‘Golden proportion and Recurring aesthetic dental proportion’ in individuals presenting attractive smiles. In this study, 214 smile photographs of students of SDM Dental College aged 18-25 years with natural dentition were analysed for their attractiveness based on 6 predetermined criteria. The subjects were induced to a spontaneous maximum open smile (smile displaying teeth). The smiles that fulfilled all the six criteria were then classified as aesthetic smiles and the rest as unpleasing or non-agreeable smiles. Further, smiles were digitally analysed to evaluate the prevalence of Golden Proportion and Recurring Aesthetic dental proportion (RED) and the obtained data was statistically analysed. The RED proportion was present in 6.6% of the population as opposed to the golden proportion which was found in 0.6% of the population. It was found that 70%RED was more prevalent than the Golden Proportion in attractive as well as unattractive smiles. Within the limitations of the study, it can be concluded that while restoring or replacing maxillary anterior teeth all proportions should be taken into consideration.

 

Author (s) Details

 

R. Meshramkar
Department of Prosthodontics, SDM College of Dental Sciences and Hospital, Sattur, Dharwad- 580 009, Karnataka, India.

 

A. Patankar
Department of Prosthodontics, SDM College of Dental Sciences and Hospital, Sattur, Dharwad- 580 009, Karnataka, India.

 

Lekha K
Department of Prosthodontics, SDM College of Dental Sciences and Hospital, Sattur, Dharwad- 580 009, Karnataka, India.

 

R. Nadiger
Department of Prosthodontics, SDM College of Dental Sciences and Hospital, Sattur, Dharwad- 580 009, Karnataka, India.

Please see the book here:- https://doi.org/10.9734/bpi/acmms/v1/2746

Logging into a Universal Quantum Computer: A Novel Way to Construct the Fibonacci Sequence and the Uni-Phi-cation of Mathematics and Physics | Chapter 10 | Recent Advances in Mathematical Research and Computer Science Vol. 10

When the Fibonacci number sequence is based on the number seven and its multiples, the Fibonacci sequence self-repeats when the differences between it and the new number-seven-based Fibonacci sequence are calculated. When it comes to Lucas numbers, the same thing happens. Is it possible to apply the same approach to any two numbers at the start of a Fibonacci/Lucas-like sequence? The answer is a resounding no. This unique property of the golden proportion sheds light on the quantum constant (h) and fine structure constant of hydrogen, the world's most abundant, lightest, and most pervasive element, as well as other natural constants with a dimensionless number close to the golden proportion (Phi) of the Fibonacci sequence, and serves as the foundation for the binary quantum computer code and a uni-Phi-ed theory of mathematics and physics. The goal is to use quantum computer code to decipher an encrypted universe. When you log into a quantum computer, you can see the records of two people.

Author(s) Details:

David F. Haight,
Department of Philosophy, Plymouth State University, Plymouth, New Hampshire, USA.

Please see the link here: https://stm.bookpi.org/RAMRCS-V10/article/view/6278

A Brief Study about Golden Proportion | Chapter 13 | Issues and Developments in Medicine and Medical Research Vol. 9

 Engineers and architects have long considered the Golden Proportion to be flawless, ideal, and desirable, and it has been used to analyse beauty and design patterns and proportions. The golden proportion has been offered as a valuable tool for assessing symmetry, dominance, and proportion in tooth arrangement diagnosis and the application of aesthetic dental therapy. As a design aspect, a dental surgeon should be aware of the golden proportion. Understanding this perplexing proportion, which has long been connected with beauty, may offer us with important suggestions that may be combined with our existing knowledge and applied to our dental work to restore dental aesthetics with a high degree of certainty.

The golden proportion is a mathematical constant that determines the proportion between the dimensions of two lengths.

Author(S) Details

Tripuravaram V. K. Reddy
Department of Conservative Dentistry and Endodontics, SRM Kattankulathur Dental College and Hospital, Chennai, Tamil Nadu, India.

Sihivahanan Dhanasekaran
Department of Conservative Dentistry and Endodontics, SRM Kattankulathur Dental College and Hospital, Chennai, Tamil Nadu, India.

View Book:- https://stm.bookpi.org/IDMMR-V9/article/view/5848

Studies on Two Supreme Principles of Plato’s Cosmos: The One and the Indefinite Dyad—The Division of a Straight Line into Extreme and Mean Ratio, and Pingala’s Mātrāmeru| Chapter 6 | Current Topics on Mathematics and Computer Science Vol. 1

 In this survey, we look at some findings regarding the behavior of the resolvent of a weighted shift operator. The relationship between the coefficients of the mentioned operators, the behavior of the Cesaro averages, and the behavior of the resolvent were all taken into account. a/b + b)/a = a/b When applied to linear geometry, this equal proportion corresponds to what Euclid referred to as the Division into Extreme and Mean Ratio (DEMR) or The Golden Proportion. In fact, according to my mathematical interpretation, Plato uses Pingala's Mtrmeru or The First Analogy of the Double to shape the body of the Cosmos as a whole, to the point of identifying the two supreme principles of the Cosmos—the One (1) and the Indefinite Dyad (and1/)—with the DEMR in the Timaeus 32b and the Epinomis 991 a–b. As a result, Fire and Earth are linked by two Mean Ratios rather than one (namely, Air and Water). Furthermore, using the Platonic approach to analyze the geometric properties of the Cosmos as a whole, I believe Timaeus built the 12 pentagonal faces of the Dodecahedron using elementary Golden Triangles (a/b = ) and the Mtrmeru sequence. This would also demonstrate that my mathematical interpretation of the platonic texts is at the very least plausible. Plato most likely refers to the Line of the Horizon paradigm in his Republic when he speaks of the Divided Line to explain his cosmological doctrine of ideas.

Author(s) Details

Maria Antonietta Salamone
Department of Philosophy and Society, Faculty of Philosophy, Complutense University of Madrid, 28040 Madrid, Spain.

View Book :-  https://stm.bookpi.org/CTMCS-V1/article/view/1387