Once Square acknowledges the existence of the third dimension, Sphere tries to convince him of the further existence of a fourth (and fifth, and sixth.

It is sphere's calling to visit Flatland at the turn of each millennium to introduce someone new to the idea of Spaceland and three dimensions and he hopes to eventually educate the population to the existence of Spaceland. Square is then visited by Sphere, a being who exists in three dimensions, an idea he cannot conceive of until he see's Spaceland.

He finds it impossible however to make anyone there believe in the possibility of anything more than a straight line. He has a dream about visiting Lineland, a one dimensional world and while there try's to convince the worlds leader that a second dimension exists. The story tells the tale of a humble square as he guides us through some of the idioms of life in two dimensions.

Abbott: Flatland: a Romance of Many Dimensions (6th ed.Flatland is a novel by Edwin Abbott Abbott about a two dimensional world. Abbott: Flatland: a Romance of Many Dimensionsġ Of the Nature of Flatland 2 Of the Climate and Houses in Flatland 3 Concerning the Inhabitants of Flatland 4 Concerning the Women 5 Of our Methods in Recognizing one another 6 Of Recognition by Sight 7 Concerning Irregular Figures 8 Of the Ancient Practice of Painting 9 Of the Universal Colour Bill 10 Of the Suppression of the Chromatic Sedition 11 Concerning our Priests 12 Of the Doctrine of our Priests PART II: OTHER WORLDSġ3 How I had a Vision of Lineland 14 How I vainly tried to explain the nature of Flatland 15 Concerning a Stranger from Spaceland 16 How the Stranger vainly endeavoured to reveal to me in words the mysteries of Spaceland 17 How the Sphere, having in vain tried words, resorted to deeds 18 How I came to Spaceland and what I saw there 19 How, though the Sphere shewed me other mysteries of Spaceland, I still desired more and what came of it 20 How the Sphere encouraged me in a Vision 21 How I tried to teach the Theory of Three dimension to my Grandson, and with what success 22 How I then tried to diffuse the Theory on Three Dimensions by other means, and of the result

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