#doctorwho #flatline #epub
reprinted from wiki
Flatland: A Romance of Many Dimensions is an by the English schoolmaster . Writing pseudonymously as "A Square", the book used the fictional two-dimensional world of Flatland to comment on the hierarchy of culture, but the novella's more enduring contribution is its examination of .
Several films have been made from the story, including the feature film (2007). Other efforts have been short or experimental films, including one narrated by and the short films (2007) and starring and .
Contents
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Plot[]
Illustration of a simple house in Flatland.
The story describes a two-dimensional world occupied by geometric figures, whereof women are simple line-segments, while men are polygons with various numbers of sides. The narrator is a , a member of the caste of gentlemen and professionals, who guides the readers through some of the implications of life in two dimensions. The Square dreams about a visit to a one-dimensional world (Lineland) inhabited by "lustrous points", and attempts to convince the realm's monarch of a second dimension; but is unable to do so. He is himself visited by a three-dimensional , which he cannot comprehend until he sees Spaceland (a tridimensional world) for himself. This Sphere visits Flatland at the turn of each millennium to introduce a new apostle to the idea of a third dimension in the hopes of eventually educating the population of Flatland. From the safety of Spaceland, they are able to observe the leaders of Flatland secretly acknowledging the existence of the sphere and prescribing the silencing of anyone found preaching the truth of Spaceland and the third dimension. After this proclamation is made, many witnesses are massacred or imprisoned (according to caste).
After the Square's mind is opened to new dimensions, he tries to convince the Sphere of the theoretical possibility of the existence of a fourth (and fifth, and sixth ...) spatial dimension; but the Sphere returns his student to Flatland in disgrace.
The Square then has a dream in which the Sphere visits him again, this time to introduce him to Pointland, whereof the point (sole inhabitant, monarch, and universe in one) perceives any communication as a thought originating in his own mind (cf.):
'You see,' said my Teacher, 'how little your words have done. So far as the Monarch understands them at all, he accepts them as his own – for he cannot conceive of any other except himself – and plumes himself upon the variety of Its Thought as an instance of creative Power. Let us leave this God of Pointland to the ignorant fruition of his omnipresence and omniscience: nothing that you or I can do can rescue him from his self-satisfaction.'
— the Sphere
The Square recognizes the identity of the ignorance of the monarchs of Pointland and Lineland with his own (and the Sphere's) previous ignorance of the existence of higher dimensions. Once returned to Flatland, the Square cannot convince anyone of Spaceland's existence, especially after official decrees are announced that anyone preaching the existence of three dimensions will be imprisoned (or executed, depending on caste). Eventually the Square himself is imprisoned for just this reason.
Social elements[]
Men are portrayed as whose social status is determined by their regularity and the number of their sides, with a Circle considered the "perfect" shape. On the other hand, females consist only of lines and are required by law to sound a "peace-cry" as they walk, lest she be mistaken face-to-face for a . The Square evinces accounts of cases where women have accidentally or deliberately stabbed men to death, as evidence of the need for separate doors for women and men in buildings.
In the world of Flatland, classes are distinguished by the "Art of Hearing", the "Art of Feeling", and the "Art of Sight Recognition". Classes can be distinguished by the sound of one's voice, but the lower classes have more developed vocal organs, enabling them to feign the voice of a polygon or even a circle. Feeling, practised by the lower classes and women, determines the configuration of a person by feeling one of its angles. The "Art of Sight Recognition", practised by the upper classes, is aided by "Fog", which allows an observer to determine the depth of an object. With this, polygons with sharp angles relative to the observer will fade more rapidly than polygons with more gradual angles. Colour of any kind is banned in Flatland after Isosceles workers painted themselves to impersonate noble Polygons. The Square describes these events, and the ensuing at length.
The population of Flatland can "evolve" through the "Law of Nature", which states: "a male child shall have one more side than his father, so that each generation shall rise (as a rule) one step in the scale of development and nobility. Thus the son of a Square is a Pentagon, the son of a Pentagon, a Hexagon; and so on".
This rule is not the case when dealing with (Soldiers and Workmen) with only two congruent sides. The smallest angle of an isosceles triangle gains thirty arc minutes (half a degree) each generation. Additionally, the rule does not seem to apply to many-sided polygons. For example, the sons of several hundred-sided polygons will often develop fifty or more sides more than their parents. Furthermore, the angle of an isosceles triangle or the number of sides of a (regular) polygon may be altered during life by deeds or surgical adjustments.
An equilateral Triangle is a member of the craftsman class. Squares and Pentagons are the "gentlemen" class, as doctors, lawyers, and other professions. Hexagons are the lowest rank of nobility, all the way up to (near) circles, who make up the priest class. The higher-order polygons have much less of a chance of producing sons, preventing Flatland from being overcrowded with noblemen.
Regular polygons were considered in isolation until chapter seven of the book when the issue of irregularity, or physical deformity, became considered. In a two dimensional world a regular polygon can be identified by a single and/or . In order to maintain social cohesion, irregularity is to be abhorred, with moral irregularity and criminality cited, "by some" (in the book), as inevitable additional deformities, a sentiment with which the Square concurs. If the error of deviation is above a stated amount, the irregular polygon faces ; if below, he becomes the lowest rank of civil servant. An irregular polygon is not destroyed at birth, but allowed to develop to see if the irregularity can be “cured” or reduced. If the deformity remains, the irregular is “painlessly and mercifully consumed”.
As a social satire[]
In Flatland Abbott describes a society rigidly divided into classes. Social ascent is the main aspiration of its inhabitants, apparently granted to everyone but strictly controlled by the top of the hierarchy. Freedom is despised and the laws are cruel. Innovators are imprisoned or suppressed. Members of lower classes who are intellectually valuable, and potential leaders of riots, are either killed, or promoted to the higher classes. Every attempt for change is considered dangerous and harmful. This world, as ours, is not prepared to receive 'Revelations from another world'.
The satirical part is mainly concentrated in the first part of the book, 'This World', which describes Flatland. The main points of interest are the Victorian concept on women's roles in the society and in the class-based hierarchy of men.
Abbott has been accused of misogyny due to his portrait of women in 'Flatland'. In his Preface to the Second and Revised Edition, 1884, he answers such critics by stating that the Square:
was writing as a Historian, he has identified himself (perhaps too closely) with the views generally adopted by Flatland and (as he has been informed) even by Spaceland, Historians; in whose pages (until very recent times) the destinies of Women and of the masses of mankind have seldom been deemed worthy of mention and never of careful consideration.
—the Editor
Critical reception[]
Although Flatland was not ignored when it was published, it did not obtain a great success. In the entry on Edwin Abbott in the Dictionary of National Biography, Flatland is not even mentioned.
The book was discovered again after 's was published, which introduced the concept of a fourth dimension. Flatland was mentioned in a letter entitled "Euclid, Newton and Einstein" published in on February 12, 1920. In this letter Abbott is depicted, in a sense, as a prophet due to his intuition of the importance of time to explain certain phenomena:
Some thirty or more years ago a little was written by Dr. Edwin Abbott entitled Flatland. At the time of its publication it did not attract as much attention as it deserved... If there is motion of our three-dimensional space relative to the fourth dimension, all the changes we experience and assign to the flow of time will be due simply to this movement, the whole of the future as well as the past always existing in the fourth dimension. —from a "Letter to the Editor" by William Garnett. in Nature on February 12, 1920.
The Oxford Dictionary of National Biography now contains a reference to Flatland.
Editions in print[]
Flatland (5th edition, 1963), 1983 reprint with foreword by , HarperCollins,
bound together back-to-back with 's (1994), HarperCollins,
The Annotated Flatland (2002), coauthor , Perseus Publishing,
Signet Classics edition (2005),
Oxford University Press (2006),
Dover Publications thrift edition (2007),
CreateSpace edition (2008),
Adaptations and parodies[]
Numerous imitations or sequels to Flatland have been written, and multiple other works have alluded to it. Examples include:
In film[]
(1965), an animated short film based on the novella, was directed by Eric Martin and based on an idea by .
(2007), a 98-minute animated independent feature film version directed by , updates the satire from Victorian England to the modern-day United States.
(2007), by Dano Johnson and Jeffrey Travis, is a 34-minute animated educational film voice acted by, , , and . Its sequel was (2012), inspired by the novel by and starring , , , , , and.
In literature[]
An Episode on Flatland: Or How a Plain Folk Discovered the Third Dimension by (1907), by (1965), by (1984), by (2001), and by (2002). Short stories inspired by Flatland include "" by (1963), "The Incredible Umbrella" by (1980), and "Message Found in a Copy of Flatland" by Rudy Rucker (1983)
Physicists and science popularizers and have both commented on and postulated about the effects of Flatland. Sagan recreates the as a set-up to discussing the possibilities of higher dimensions of the physical universe in both the and , whereas Dr. Hawking notes the impossibility of life in two-dimensional space, as any inhabitants would necessarily be unable to digest their own food.
In television[]
Flatland features prominently in episode "The Psychic Vortex", when Sheldon Cooper declares it one of his favorite imaginary places to visit.
It also features in the episode "2-D Blacktop", when Professor Farnsworth's adventures in lead to a foray of drifting in and out of inter-dimensional spaces.
See also[]
(1945), novella by George Orwell
, Indian parable
(1999-2007 webcomic)
(1963 book)
(1941 short story)
Dimension-bending video games:
(2007)
(2012)
(2013)