a list compiled by Alex Kasman (College of Charleston)
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In the year 3000, the human race has nearly been destroyed by the Psychlos, an evil alien species who dominate thousands of planets in many universes. Although they view the few remaining humans as little more than pests who continue to infest the planet that they have conquered, one human named “Jonnie” is educated by a corrupt Psychlo who intends to use him as part of an intricate smuggling scheme. Eventually, Jonnie is able to use the knowledge he gains to defeat the Psychlos and free humanity.
Of course, I had heard about this science fiction novel which is as famous for its controversial connections to the Church of Scientology which its author founded as for its literary content. (See, for example, this Wikipedia entry.) However, until I received an email from Julie Willis at Galaxy Press, I was unaware that it was also an example of mathematical fiction. They kindly sent me a free copy of the book, which I have finally finished reading. So, let me run through some of the ways that math appears: Near the beginning of the book, Jonnie is being educated by directly downloading information from disks into his brain. At first he is learning only how to read, but he picks a random disk just to see what is on it and learns that if all three sides of a triangle were equal then so were the angles. The funny thing is, because he had skipped ahead he knew this fact about triangles and angles even though he did not yet know what triangles and angles were or even what it meant for things to be equal. There is quite a bit said about the fact that Psychlos (who have five claws on one paw and six on the other) use a base 11 numerical system. I'm not sure what would give Hubbard the idea that there's something particularly wonderful about base 10 or particularly bad about base 11, but it says things like:
In my opinion, that's nonsense, but it also isn't terribly important to the plot. Another mathematically interesting (but not terribly important) passage concerns the evolution of the Psychlo digits from pictographs, many related to mining:
But the important mathematical aspect of the book concerns the bizarre form of teleportation on which the whole Psychlo empire was based:
It was precisely to protect this secret method that Psychlos carefully guarded all of their mathematical knowledge. Their mathematics had quite a reputation for being impossible to understand. As a nonPsychlo alien explains to Jonnie:
On page 971 of this tome, Jonnie finally learns (from a Psychlo who had been exiled for the crime of believing in souls) that all Psychlo equations are encrypted. The encryption scheme is based on the association of an integer to each letter of the Psychlo alphabet and the names of the eleven gates at the Imperial Palace of Psychlo (“Betrayer's Gate”, “Devil's Gate,” “God's Gate”, “Infernal Gate”, etc.):
A few thoughts about this:
Keep in mind that there is a lot more to this book than math. (For example, there is some chemistry, lots of warfare, and Jonnie's clever plan to overthrow the Psychlos. And, if you read between the lines then it also expresses some of Hubbard's opinions about psychologists and governments.) As for the writing itself, it seems like very oldfashioned science fiction to me. Even though it was written in 1980, it reads like a cross between the pulp “scifi” of the early 20th century and the "space opera" SF from the 1950s and 1960s. If you are someone who loves that old stuff, that would be a great endorsement. But, not everyone does. So, based on your own tastes and the mathfocused excerpts above, you can decide for yourself whether you'd like to read L. Ron Hubbard's “Battlefield Earth”. 
More information about this work can be found at galaxypress.com. 
(Note: This is just one work of mathematical fiction from the list. To see the entire list or to see more works of mathematical fiction, return to the Homepage.) 

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(Maintained by Alex Kasman, College of Charleston)