I first read "Flatland" when I was studying mathematics as a university first-year. I have just been re-reading it.
In my naivity, I first thought that Abbot was exhibiting his own prejudice against women and lower classes. I realise now that it is his very clever way of satirising his own culture - and he chose an ingenious way of doing it, by choosing a setting that was as far removed from the real world as is conceivable - the world of abstract mathematics.
The culture and society of Flatland are wonderfully developed, and the very human personalities of the square, circular, linear and hexagonal characters are colourful and vivid - displaying all the passions, corruptions, and emotions of our own, three dimensional world.
In addition, this book is a remarkable lesson in how higher dimensions can be conceived by beings who inhabit worlds of lower dimensions. And Abbot's eloquent and humorous writing style is a great pleasure to read.