An enumeration of equilateral triangle dissections

We enumerate all dissections of an equilateral triangle into smaller equilateral triangles up to size 20, where each triangle has integer side lengths. A perfect dissection has no two triangles of the same side, counting up- and down-oriented triangles as different. We computationally prove W. T. Tutte's conjecture that the smallest perfect dissection has size 15 and we find all perfect dissections up to size 20.Comment: Final version sent to journal

Brandlife

Do you sometimes feel like your brand runs you and not the opposite? Are you feeling depressed for that reason? Are you stunned by brands, but then you do not know how to handle them? Would you like to live in a world free of any brand? Are you sure that brands are not alive? Do not worry! Answers to these and many other brand and branding related questions are to be found in this book. But beware: a)You will find out that what you had in mind with branding has little to do with branding as it develops in this book. b)This life cantered branding might addict you. Andrej Drapal is (not yet) known as the Standard Branding Model© author and branding practitioner guilty for more than 40 brands including I Feel Slovenia national brand. What the heck Slovenia? Why not? BRANDLIFE arms you with many mental tools and practical techniques you need to manage brands. Product, service, place, tourist and even personal branding managers will find not only tools but also supporting deeper explanations. Drapal hates how to do it quick fix solutions, but at the end BRANDLIFE is concise branding manual. BRANDLIFE is free from topics and words like: social media, boosting your sales, or three steps to success. But there is abundance of kitchen logic inside. BRANDLIFE is branding philosophy and branding manual at the same time. Confused? You should be, indeed! You have not yet read this book

Modelling the powertrain rubber coupling under dynamic conditions

This paper presents a strategy for computational modelling of elastic rubber couplings under dynamic loading. Methods how to determine static and dynamic characteristics of the elastic coupling based on static and dynamic experimental tests of rubber elements are presented. The nonlinear deformation behaviour, frequency and temperature dependent properties of rubber are considered for computational models. The model is applied to the elastic coupling connecting an in-line six-cylinder natural gas engine and an electrical generator. Loading forces are based on in-cylinder pressure measurement. Experimental verification of the computational model results is carried out by measuring the values on a test engine using the non-contact laser measuring technique