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The Beauty of Fractals includes six essays related to fractals, with perspectives different enough to give you a taste of the breadth of the subject. Each essay is self-contained and expository. Moreover, each of the essays is intended to be accessible to a broad audience that includes college teachers, high school teachers, advanced undergraduate students, and others who wish to learn or teach about topics in fractals that are not regularly in textbooks on fractals.

Fractals. --- Fractals in art. --- Golden section. --- Divine proportion (Mathematics) --- Divine section (Mathematics) --- Extreme and mean ratio --- Golden cut --- Golden mean (Mathematics) --- Golden number (Ratio) --- Golden proportion --- Golden ratio --- Mean of Phidias --- Medial section --- Phi ratio --- Phidias, Mean of --- Geometry, Plane --- Ratio and proportion --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology)

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With advances in dental materials and their clinical applications, as well as innovations in computer technology, dental treatment is constantly evolving. In particular, adhesion technology to the tooth surface, implant treatments, and the application of CAD/CAM technology are very interesting topics for clinical dentists. As a bonding technique, the influence of the pre-etched area of the tooth surface on the adhesive strength can be reduced by the new application of a functional monomer. Additionally, the effect of an advanced adhesive system as a universal adhesive-derived primer, when compared with the two-step adhesive, is helpful for updating the applications of new materials. Dental implants are one of the most interesting dental treatments. PEEK (polyetheretherketone) has recently been reported as a further innovation in polymer implant materials, although it has not yet met the requirements to be a biomechanical requirement. In the placement of mini-screws used in orthodontic treatments, micro-cracks caused by overtorquing in thick and hard bone, and the consequent heat production, can reduce the success rate. Computer-aided design/computer-aided manufacturing (CAD/CAM) techniques are becoming increasingly popular. Since complete dentures can be produced using an additive (3D printing) or subtractive (milling) process, CAD/CAM techniques for denture fabrication have many clinical and laboratory advantages. Innovative and convenient dental material technology will be more and more expected in the future. This book has limited findings, but we hope that your clinical capability will be integrated and upgraded.

denture base --- complete denture --- acrylic resin --- CAD-CAM --- milling resin --- eye-tracking --- aesthetics --- golden ratio --- forensics --- caries model --- Streptococcus mutans --- demineralization --- dental caries --- molar intrusion --- orthodontic treatment --- temporomandibular disorder --- occlusal splint --- centric relation --- bracket debonding --- dental enamel --- scanning electron microscopy --- orthodontics --- methacrylate monomer --- heat polymerization --- mechanical properties --- resin infiltration --- two-step adhesive system --- universal adhesive-derived primer --- adhesive layer thickness --- enamel bond durability --- orthodontic screw --- mini-implant --- pre-drilling --- heat production --- temperature --- irrigation --- cooled irrigation --- safety --- bone drilling --- orthodontic adhesive paste --- functional monomer --- pre-etched area --- chewing exercise --- masticatory function --- masticatory pattern --- open bite --- TADs --- cephalometric analysis --- treatment option criteria --- ROC analysis --- orthodontic retainer --- oral hygiene --- gingival recession --- patient compliance --- n/a