![]() Gilman also has nightly experiences involving Keziah and her rat-bodied, human-faced familiar, Brown Jenkin, which he believes are not dreams at all. Several times, his dreaming self encounters bizarre clusters of "iridescent, prolately spheroidal bubbles", as well as a rapidly changing polyhedral figure, both of which appear sapient. Among the elements, both organic and inorganic, he perceives shapes that he innately recognizes as entities that appear and disappear instantaneously and at random. Gilman begins experiencing bizarre dreams in which he seems to float without physical form through an otherworldly space of unearthly geometry and indescribable colors and sounds. ![]() ![]() Gilman theorizes that the structure can enable travel from one plane or dimension to another. The dimensions of Gilman's attic room are unusual and seem to conform to a kind of unearthly geometry. Gilman discovers that, for the better part of two centuries, many of the attic's occupants have died prematurely. The house once harboured Keziah Mason, an accused witch who disappeared mysteriously from a Salem jail in 1692. Walter Gilman, a student of mathematics and folklore at Miskatonic University, rents an attic room in the "Witch House", a house in Arkham, Massachusetts, that is rumored to be cursed. It was written in January/February 1932 and first published in the July 1933 issue of Weird Tales. Lovecraft, part of the Cthulhu Mythos cycle. " The Dreams in the Witch House" is a horror short story by American writer H. Now, add to that the fact that these almost undefinable values are just the simple functions used as a foundation for the more complicated fractal, and you add an order of magnitude more difficult than you had before, just to figure out the distance between two points.For the Masters of Horror episode, see H. There’s almost no way of knowing from one moment to the next where a point is going to be, using your static form of math. Now, instead of a four-dimensional line, you make it an n-dimensional line (where n can be a freaking huge number). Now, despite the fact that distance is a four-dimensional value, it is still a single value (for the undefinable determinant of time).īut it gets worse. This assumes that all points move in a constant, but unpredictable manner. Imagine that you treated the distance between two points as a four-dimensional value, where it is not only based on the length, depth, and breadth of the points, but also based on where they are at a given time. Not a straight line, not a Bezier curve, not even a definable parabola. Unfortunately, in non-Euclidean geometry, there is no shortest distance between two points. Based on that, you can tell the distance between two points, you can define an object as a series of points, and you can map out the world. A basic ruleset for Euclidean geometry is that the shortest distance between two points is a straight line. The problem is that non-Euclidean geometry is based on a whole different number system. You see, Fractal geometry is an expedient to explain repeating complex patterns in nature by reducing them to simple repeating formulas, and as far as that goes, yeah. However, I thought that you, the enterprising Lovecraft fan, might be interested in my guess at how Non-Euclidean Geometry works. While I have an answer for that, I don’t think it’s very funny, so I’m not going to put it in the show. “Please confirm that non-Euclidean geometries are in fact Fractal geometries.” Posted by Brand on May 6th, 2007 in General | 2 comments ![]()
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