Welcome to the 24th Carnival of Mathematics!

24 dimensions is the home of the mysterious Leech lattice. The Leech lattice can be used to answer questions in 24 dimensions, such as the densest regular sphere packing or the kissing number. The answers to these questions are not known in any dimension larger than 8 *other* than 24. The Leech lattice can be used to construct other exotic objects in mathematics, such as sporadic simple groups.

Back here in three dimensions:

Mathew Needleman presents Kindergarten Math Skills Predict Future Success posted at Creating Lifelong Learners. Matthew comments on a study that shows that at the kindergarten level, success at mathematics best predicts future academic success.

Kevin OConnor presents Mental Maths Shortcut 5 squared Genius | MemoryMentor’s Blog posted at MemoryMentor’s Blog. Kevin shows how easy it is to square numbers that end in 5.

praveen presents How Long Are The Candles? posted at Math and Logic Play. This is a word problem first posed in Ask Marilyn.

Denise presents 2008 mathematics game posted at Let’s play math!. The game consists of asking how many numbers can you make out of the digits of 2008 using basic math operations such as division and factorial.

Sol Lederman presents Impressive Math magic with 16 index cards posted at Wild About Math!.

Maria H. Andersen presents Animated Demo of Domain and Range Projections posted at Teaching College Math Technology Blog. Maria shows you how to animate your Powerpoint slides to show students how to find the domain and range of a graph.

Mike surveys the mathematics software available on the Pocket PC, from calculators to spreadsheets to computer algebra systems, in Mathematics on the Pocket PC, posted at Walking Randomly.

Dave Marain presents M^2 – N^2 = 12…Prove there is only one solution in positive integers and much more and An Introduction to the Mathematics of Bingo – Part I: An Investigation for Grades 7-12 posted at MathNotations. The first post leads to a debate in comments as to whether the question is too hard for high school students. The second post illustrates the complexity of Bingo.

jonathan presents Gazinta – two remainder puzzles to kick things off posted at JD2718.

Brent Yorgey shows you an elegant enumeration of the rationals with Recounting the Rationals, part II (fractions grow on trees!) posted at The Math Less Traveled.

Blake Stacey is writing a series of posts Science after Sunclipse on supersymmetric quantum mechanics. The first post introduces the basics of superalgebra, while the second post uses this to solve some actual quantum mechanical systems.

Maurizio Monge points out that a new preprint has appeared at arXiv with the title Lindelof’s hypothesis is true and Riemann’s one is not. This paper has already been withdrawn by its author, so the Riemann hypothesis live to fight another day.

The next Carnival of Mathematics will be hosted at Walking Randomly.