Magic Squares, Magic Stars & Other Patterns

Magic Squares, Magic Stars & Other Patterns





I hope you enjoy these examples from my collection of number patterns.
This site has three sections, with pages on magic squares, magic stars (a lot of original material) and miscellaneous number patterns. This site should be of interest to middle and high school students and teachers, and anyone interested in recreational mathematics.
Wherever there is number, there is beauty. __ Proclus (410-485 A.D.)
Magic Tesseracts
Nov. 2007 All about magic tesseracts. A new site (because of space) consisting of 11 pages.Also discusses the relationships between hypercubes of different dimensions.
Compact-squares
May 18, 2007. A proof and demonstration that all sub-arrays with even dimensions are pan-magic in a compact magic square.
Magic Knight Tours
April 14, 2007. A little bit about another old recreation, touring the chessboard with a knight, then arranging the tour so the numbered steps form a magic square.
Magic 9x5 Hexagrams
April 4, 2007.This new page shows 1 solution for each S of 46 to 54 of the 5 numbers in each of 9 lines magic hexagram.
Most-perfect Bent diagonal magic squares
April 4, 2007.This new page starts with a discussion of "the ‘most magical magic square in 5,000 years’. (It's not!) Then is shown order-12 and order-16 Most-perfect Bent diagonal magic squares.
Perimeter Magic Polygons
October 19, 2006. Posting of a page on Perimeter Magic Triangles. From here, link to the new Perimeter Magic Polygons > k=3 and Magic 3-D Polygons and Graphs.