We provide a simple formula to compute the Hausdorff dimension of the attractor of an overlapping iterated function system of contractive similarities satisfying a certain collection of assumptions. This formula is ob...We provide a simple formula to compute the Hausdorff dimension of the attractor of an overlapping iterated function system of contractive similarities satisfying a certain collection of assumptions. This formula is obtained by associating a non-overlapping infinite iterated function system to an iterated function system satisfying our assumptions and using the results of Moran to compute the Hausdorff dimension of the attractor of this infinite iterated function system, thus showing that the Hausforff dimension of the attractor of this infinite iterated function system agrees with that of the attractor of the original iterated function system. Our methods are applicable to some iterated function systems that do not satisfy the finite type condition recently introduced by Ngai and Wang.展开更多
This research explores the potential of an immersive and interactive online archive to enhance our understanding of historic architecture through the study of models.It reports on implementing an augmented reality mob...This research explores the potential of an immersive and interactive online archive to enhance our understanding of historic architecture through the study of models.It reports on implementing an augmented reality mobile application that exhibits a model for the unbuilt Endless House,1959,by Frederick Kiesler.A reflective critique,from the researcher’s point of view,and initial feedback from a small sample of architecture students,provides an insight into users’experience of the exhibition,its value as a research tool,and as an educational resource.Building on existing technologies and established research methods,we present an alternative way of exhibiting a large-scaled model for public engagement and research collaboration between academics,archivists,and conservators.Results discuss the development of the mobile application with interactive features specifically designed for an architectural audience.It touches on issues associated with documenting,interpreting,and exhibiting architectural models,emphasizing accessibility,accuracy,engagement,combining 3D and 2D digital assets,and user experience.It was found that the interactive and immersive features of the exhibition enhanced the researchers’scope to spatially inspect the model,visually experience it,collaborate with others,and strengthen connections between the model and other examples of Kiesler’s textual and visual archival materials.展开更多
文摘We provide a simple formula to compute the Hausdorff dimension of the attractor of an overlapping iterated function system of contractive similarities satisfying a certain collection of assumptions. This formula is obtained by associating a non-overlapping infinite iterated function system to an iterated function system satisfying our assumptions and using the results of Moran to compute the Hausdorff dimension of the attractor of this infinite iterated function system, thus showing that the Hausforff dimension of the attractor of this infinite iterated function system agrees with that of the attractor of the original iterated function system. Our methods are applicable to some iterated function systems that do not satisfy the finite type condition recently introduced by Ngai and Wang.
文摘This research explores the potential of an immersive and interactive online archive to enhance our understanding of historic architecture through the study of models.It reports on implementing an augmented reality mobile application that exhibits a model for the unbuilt Endless House,1959,by Frederick Kiesler.A reflective critique,from the researcher’s point of view,and initial feedback from a small sample of architecture students,provides an insight into users’experience of the exhibition,its value as a research tool,and as an educational resource.Building on existing technologies and established research methods,we present an alternative way of exhibiting a large-scaled model for public engagement and research collaboration between academics,archivists,and conservators.Results discuss the development of the mobile application with interactive features specifically designed for an architectural audience.It touches on issues associated with documenting,interpreting,and exhibiting architectural models,emphasizing accessibility,accuracy,engagement,combining 3D and 2D digital assets,and user experience.It was found that the interactive and immersive features of the exhibition enhanced the researchers’scope to spatially inspect the model,visually experience it,collaborate with others,and strengthen connections between the model and other examples of Kiesler’s textual and visual archival materials.
