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* how to draw a circle ( d = const.) | * how to draw a circle ( d = const.) | ||
* how to draw an ellipse ( a + b = const.) | * how to draw an ellipse ( a + b = const.) | ||
* how to draw | * how to draw multifocal ellipses (a + b + c = const.) | ||
* how to draw egg-shaped curves (3 * a + b = const.) | * how to draw egg-shaped curves (3 * a + b = const.) | ||
* how to measure the circumference of a circle | * how to measure the circumference of a circle | ||
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* We discovered the 3d ellipsoid (a + b = const.) | * We discovered the 3d ellipsoid (a + b = const.) | ||
* We found that | * We found that multifocal 3d ellipsoids have a doughnut-topology. | ||
* We found two different ways to create ellipsoid shapes: | * We found two different ways to create ellipsoid shapes: | ||
** the polygon method, where the thread forms a polygon going through the focal points and the drawing point | ** the polygon method, where the thread forms a polygon going through the focal points and the drawing point | ||
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* [https://en.wikipedia.org/wiki/Ellipse Ellipse] on Wikipedia | * [https://en.wikipedia.org/wiki/Ellipse Ellipse] on Wikipedia | ||
* [[wikipedia:Multifocal_oval_curves| | * [[wikipedia:Generalized_conic#Multifocal_oval_curves|Multifocal oval curves]] on Wikipedia | ||
* [https://archive.org/stream/scientificpapers01maxwuoft#page/n39/mode/2up On the description of oval curves] by James Clerk Maxwell | * [https://archive.org/stream/scientificpapers01maxwuoft#page/n39/mode/2up On the description of oval curves] by James Clerk Maxwell | ||
* [http://arxiv.org/pdf/math/0702005v1.pdf Semidefinite Representation of the k-Ellipse] | * [http://arxiv.org/pdf/math/0702005v1.pdf Semidefinite Representation of the k-Ellipse] | ||