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Flatterland
Flatterland begins one hundred years after Flatland's end. A. Square's great-great-granddaughter, Victoria Line has found A. Square's ancient text, Flatland: A Romance of Many Dimensions. After causing some trouble with her family, Victoria reads the text and signals the third dimension. She is soon greeted by the Space Hopper, who soon teaches her about three and dimensions, fractal space, perspective, hyperbolic space, topology, time travel, wormholes, and everything else relating to geometry.
Flatland was written to warm the public up to a more complex space than the three dimensions they normally perceived. Shortly after the start of the new century, Albert Einstein proved the relationship between time and space adding a forth dimension. Flatterland is not written the same way. Rather than warming the reader up to physical possibilities, Mr. Stewart pedanticly explains the Universe as it is known today. In those areas where science has no answer, Flatterland simply says there is none and offers several possible answers.
Mr. Stewart went to great lengths to demonstrate Victoria's naivity. All names from the book are spelled as one part and even names are combined. Albert Einstein becomes Albereinstein and Felix Klein becomes Felixklien. Even planet Earth becomes Planiturth whose inhabitants are Planiturthians. First cute, by the end of the book, the nomenclature becomes dreadful and deciphering names can be difficult when the original is unknown to the reader.
Missing most from Flatterland, though, is the social satire. Flatland endlessly mocks Victorian society. The role of women was questioned along with evolutionary theories. Flatland was more of a social satire than it was a text on geometry. Flatterland's social satire is weak and confused. In Mr. Stewart's introduction, Flatland has evolved into a sixties-like era, but modern technology from the nineties has also arrived. What little social criticism there is in Flatterland addresses the women's movement. Unfortunately, the style and discourse would have been more appropriate forty years ago.
These flaws aside, Flatterland's discussion of mathematics and science is amazing. The simplicity of the breadth of material makes Flatterland helpful aid in study. The personification of mathematical concepts includes a five-sided figure with five ninety degree angles from the hyperbolic plane called a squarrel. Viewed from inside the hyperbolic plane, Victoria is confused to see a creature with the wrong measure of angles for five sides until the Space Hopper patiently explains. The personification also includes a cow whose tail flips and joins its nose named Moobius. Victoria takes to washing one side of Moobius only to discover that Moobius has only one side.
Through the Space Hopper, Mr. Stewart explains complex mathematical concepts with explicit detail but very simply and often several times from several angles to ensure the reader understands the topic. Additionally, the book includes ample diagrams from simple grapefruit stacking problems to visions of wormholes. The images are most helpful when discussing perspective.
Ideally, Flatterland would embody the mathematics, science, satire, creativity of Flatland. However, Flatterland usually sacrifices satire and creativity for science and mathematics. The book is still an exceptional read and well worth the time. It does not tarnish the reputation of Flatland, but it is not destined to become the classic that its predecessor is."
You can purchase this book at Fatbrain.
http://www.geom.umn.edu/~banchoff/Flatland/