Validity of mathematical proportions in maxillary anterior teeth among Bangladeshi population

<jats:sec id="st1"><jats:title>Objective</jats:title><jats:p>To investigate the existence and suitability of mathematical proportions between the widths of maxillary anterior teeth in Bangladeshi population having an esthetic smile, with the aid of digital photographs and computer analysis.</jats:p></jats:sec><jats:sec id="st2"><jats:title>Place of Study</jats:title><jats:p>The study was conducted at the Department of Orthodontics and Dentofacial Orthopedics of Dhaka Dental College and Hospital, Dhaka.</jats:p></jats:sec><jats:sec id="st3"><jats:title>Period of Study</jats:title><jats:p>The study was conducted from April 2016 to September 2016.</jats:p></jats:sec><jats:sec id="st4"><jats:title>Sample Selection</jats:title><jats:p>The study samples collected from Students of Dhaka Dental College, Mirpur-14, Dhaka, Bangladesh, with age limit 18–35 years.</jats:p></jats:sec><jats:sec id="st5"><jats:title>Materials and Methods</jats:title><jats:p>Standardized frontal images of 100 dental students of Dhaka Dental College were captured. All the images were downloaded to a personal computer, and width of each tooth was measured by the scale tool of Photoshop CS version 8.0. All the data were analyzed (through standard statistical method) using Statistical Package for Social Science Software version 20 (IBM Corp., USA).</jats:p></jats:sec><jats:sec id="st6"><jats:title>Results</jats:title><jats:p>The golden proportion existed in 17% of the perceived width ratios of lateral incisor to central incisor and 4% of the width ratios of canine to lateral incisor in natural dentition. Sixty-six percent lateral incisors are following the golden percentage, but only 7% central incisors and 21% canines are following the golden percentage. The recurring esthetic dental (RED) proportion existed in only 4% of participants.</jats:p></jats:sec><jats:sec id="st7"><jats:title>Conclusions</jats:title><jats:p>The golden proportion, golden percentage, and the RED proportion cannot be used as constant proportions to create a harmonious proportion throughout the width of maxillary anterior teeth. The adjusted golden percentage might serve as a guideline to create harmonious proportions in maxillary anterior teeth for Bangladeshi population.</jats:p></jats:sec>