AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |
Back to Blog
Non euclidean geometry hp lovecraft1/18/2024 A three-dimensional manifold is the sphere, for example: if we drawn a triangle on a sphere, the sum of its interior angles is 230°, while on the plane the sum is 180°. The manifolds, indeed, are particular spaces in which Euclidean geometry is valid only in small portions, but loses its validity as we study more great portions of the manifold. This mathematical object was introduced by Riemann in 1851 in his doctoral thesis: he had need to introduce in his work some highdimensional objects, thereby affecting the non-Euclidean geometries. Indeed in 1900 Henri Poincaré stated his famous conjecture:Įvery simply connected, closed 3-manifold is homeomorphic to the 3-sphere. The hyperspheres (2) have a most important role in mathematics and topology. We can imagine Cthulhu in our world like the projection of a dodecaplex in a three dimensional space, for example: They had shape (.) but that shape was not made of matter. (.) were not composed altogether of flesh and blood. Cthulhu was one of the Great Old Ones: these creatures He said that the geometry of the dream-place he saw was abnormal, non-Euclidean, and loathsomely redolent of spheres and dimensions apart from ours.Īnd Cthulhu itself is a fourth dimensional creature. That are characteristic in lovecraftian literature.Īnother non-euclidean reference is in The Call of Cthulhu (1): Risms, labyrinths, clusters of cubes and planes, and Cyclopean buildings Of his own condition he could not well judge, for sight of his arms, legs, and torso seemed always cut off by some odd disarrangement of perspective (.)ĭurign his travel in the fourth-dimension, Gilman seen He did not walk or climb, fly or swim, crawl or wriggle yet always experienced a mode of motion partly voluntary and partly involuntary. Non-Euclidean calculus and quantum physicsĪnd Walter, dreaming, has experienced the high dimensional space of the limitless abysses:Ībysses whose material and gravitational properties, and whose relation to his own entity, he could not even begin to explain. He was getting an intuitive knack for solving Riemannian equations, and astonished Professor Upham by his comprehension of fourth-dimensional and other problems (.) Or in the following point, in which HPL seems refer to Riemann's hypotesys: wanted to be in the building where some circumstance had more or less suddenly given a mediocre old woman of the Seventeenth Century an insight into mathematical depths perhaps beyond the utmost modern delvings of Planck, Heisenberg, Einstein, and de Sitter. We can argue the Lovecraft's use for his purpouse of the non-euclidean geometry, in particular in the following quotation: She had told Judge Hathorne of lines and curves that could be made to point out directions leading through the walls of space to other spaces beyond (.) In the story there are some mathematically interesting quotes: In this short story Walter Gilman, a student of mathematics, lives in the house of Keziah Mason, one of the Salem's witches. Reading these words I immediatly think to Howard Philips Lovecraft and his Cthulhu Mythos, in particular to Dream in the Witch House. While in this state that object can pass freely through any other object. Sometimes we can find on the web something of interesting, like the following review of the 4D Man.īrilliant but irresponsible scientist Tony Nelson (James Congdon) develops an amplifier that allows any object to achieve a 4th dimensional (4D) state.
0 Comments
Read More
Leave a Reply. |