Topology is the mathematical study of properties of objects which are preserved through deformations, twisting, and stretching. Tearing, however, is not allowed. A square is topologically equivalent to a circle and a circle is topologically equivalent to an ellipse, into which it can be deformed by stretching. In this work, we discuss the properties of ellipses when an ellipse is continuously subjected to deformation by stretching
A series of experimental deformations with plastic materials, such as modelling clay, putty and wax,...
Any continuous deformation of closed curves on a surface can be decomposed into a finite sequence of...
This project highlights the connections between elastic spaces, known as topological spaces, and spa...
Described is a dynamic investigation of an ellipse inscribed in a rectangle, with a view to properti...
Topology is the study of topological properties of figures -- those properties which do not change u...
In a finite deformation x = x(X), a particle initially at X is displaced to x. Fundamental to the de...
Deformation techniques are often used to model the shape of geometric objects. This paper presents a...
Topological surgery is a mathematical technique used for creating new manifolds out of known ones. W...
In an article entitled The Ellipse, Martin Gardner explains a simple way to `fold\u27 an ellipse ins...
Geometry and topology have emerged as powerful tools for understanding a wide range of phenomena in ...
We investigate nearly-equilateral polygons generated under extreme confinement. The knot types (as m...
Basic concept of deformation and strain is described. Strain ellipse and reciprocal strain ellipse a...
The eld of Topology was born out of the realisation that in some fundamental sense, a sphere and an ...
summary:Definition of affinity in a plane and its properties. Ellipse as an image of a circle in dif...
Hosted by Professor Tim David of the University of Canterbury, New Zealand, this program concisely p...
A series of experimental deformations with plastic materials, such as modelling clay, putty and wax,...
Any continuous deformation of closed curves on a surface can be decomposed into a finite sequence of...
This project highlights the connections between elastic spaces, known as topological spaces, and spa...
Described is a dynamic investigation of an ellipse inscribed in a rectangle, with a view to properti...
Topology is the study of topological properties of figures -- those properties which do not change u...
In a finite deformation x = x(X), a particle initially at X is displaced to x. Fundamental to the de...
Deformation techniques are often used to model the shape of geometric objects. This paper presents a...
Topological surgery is a mathematical technique used for creating new manifolds out of known ones. W...
In an article entitled The Ellipse, Martin Gardner explains a simple way to `fold\u27 an ellipse ins...
Geometry and topology have emerged as powerful tools for understanding a wide range of phenomena in ...
We investigate nearly-equilateral polygons generated under extreme confinement. The knot types (as m...
Basic concept of deformation and strain is described. Strain ellipse and reciprocal strain ellipse a...
The eld of Topology was born out of the realisation that in some fundamental sense, a sphere and an ...
summary:Definition of affinity in a plane and its properties. Ellipse as an image of a circle in dif...
Hosted by Professor Tim David of the University of Canterbury, New Zealand, this program concisely p...
A series of experimental deformations with plastic materials, such as modelling clay, putty and wax,...
Any continuous deformation of closed curves on a surface can be decomposed into a finite sequence of...
This project highlights the connections between elastic spaces, known as topological spaces, and spa...
DOI
Add to ORKG