Home > Search Results: keywords:"helikoid"
Search:
Search Tips :: Advanced Search
Search collections:
Sort by: Display results: Output format:
National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Minimal surfaces
 Lasovská, Anna ; Vašík, Petr (referee) ; Doupovec, Miroslav (advisor)
This thesis focuses on the study of minimal surfaces, which are surfaces that have the smallest surface area for a given boundary curve. In the introductory part of the thesis a correct definition of a minimal surface is derived, from which its key properties are further deducted. The text is then structured into several chapters, each dedicated to a specific type of minimal surface, while also providing detailed descriptions of the most significant minimal surfaces. The ending of the thesis provides an overview of other important minimal surfaces.
Detailed record
Minimal surfaces and their applications
 Beran, Filip ; Šír, Zbyněk (advisor) ; Slavík, Antonín (referee)
The aim of this bachelor thesis is to explain basic qualities of minimal surfaces and to demonstrate some significant examples. The first chapter summarizes clas- sic concepts of differential geometry of curves and surfaces, which are essential for formulation of the surface minimization problem. Solving of this variational problem brings us back to local property of surface, zero mean curvature. In the rest of the second chapter we reveal which other properties this condition implies; one of the most important is the conformity of the Gauss map. Emphasizing the geometric view, in the third chapter we derive minimal surfaces of revolution and ruled minimal surfaces. Finally we construct isometric deformation of these one parameter surface families, catenoids and helicoids, to show nontrivial case of local isometry which is also typical for minimal surfaces. 1
Detailed record

Interested in being notified about new results for this query?
Subscribe to the RSS feed.
Digital Repository :: Search :: Submit :: Personalize :: Help
Powered by Invenio v1.1.2
Maintained by admin.invenio@techlib.cz
This site is also available in the following languages:
Česky  English