![]() ![]() This is a sample page from my tessellation scrapbook. Don't get too hung up on perfection at this stage: do that later, when you can fiddle for hours with tracing paper. Whenever an idea occurs to you, jot it down quickly before you forget. In addition, there are six boxes indicated by the shading and each of those boxes must also have each of the six numbers only once.If you do lots of tessellations, it's a good idea to carry around a small notebook. All rows and all columns must have each number only once. The puzzle below uses numbers 1 through 6. Normal Sudoku puzzles are 9-by-9 grids, but simpler versions can be constructed with 4-by-4 or 6-by-6 grids. The sample pages that Amazon shows are even less revealing of what is in the book.īelow are examples of some of the types of puzzles in Tessellating Animals Activity Book. A post at the time tried to indicate what kind of activities were in the book, but the illustrations were of partial puzzles that could not be solved. I have not spent much time or effort with tessellations (or mazes) since Tessellating Animals Activity Book was published in January 2017. If you click on any CreateSpace link in a previous post, it will take you to an Amazon page. It has been over a year since I last published a book via CreateSpace, and since then CreateSpace has ceased to sell books all sales are now through Amazon. Here is a bird tessellation illustrated with a small sample maze that I used to keep track of maze typefaces. Some of the shapes used in the books have previously appeared on this blog. ( Tantalizing Tessellating Mazes has 29 bird tessellations and More Tessellating Mazes has 21.) Both books have many bird tessellations because I seem prone to find bird shapes as I toy with Tesselmaniac!. ![]() The new mazes are slightly more difficult than the mazes they replace, but they still seem best described as fairly easy and appropriate for ages 8 and older. The numbers for More Tessellating Mazes are 27 new and 57 holdovers. In Tantalizing Tessellating Mazes 35 of the mazes are new and 49 are carried over from the previous edition. As a result, both books now have a greater percentage of Escher-like mazes, that is, mazes based on shapes that resemble real world objects rather than geometric, abstract shapes. In addition I dropped patterns that I thought were the least interesting and replaced them with new patterns and mazes. This change frees up space for an additional fourteen mazes with no change in page count. The revisions shrink the solutions so that four fit on a page. Most of what I have found has been used in other maze books, but I early in 2018 I realized that I still had enough unused material to revise and upgrade both Tantalizing Tessellating Mazes and More Tessellating Mazes.īoth books had 70 pages of mazes and 35 pages of solutions, with two solutions per page. In the six years since the publication of these two books I have devoted considerable time to finding new tessellation patterns. At the time I did not see this as a shortcoming because I was more focused on mazes than on tessellations. Many of the tessellations were common geometric shapes. ![]() When I designed Tantalizing Tessellating Mazes in 20 I not only had enough tessellation patterns to produce 70 mazes for this book, but had enough left over to do another 70 mazes in More Tessellating Mazes. For example, type TTTT results when one of the TT pairs in type TTTTTT shrinks away. Heesch and his co-author showed that their list of 28 types consisted of nine main types from which the other 19 types could be derived by shrinking edges to zero. ![]() That whimsical organization was replaced with a more standard organization that stresses Heesch families. The original organization of that section was based on efforts to find standing birds that tessellated. It also reorganizes the section on Heesch types. This revision of June 2018 adds many new tilings as examples and deletes some old tilings that were substandard. The work on these books provided enough new material to justify going back and reviewing the content and organization of Exploring Tessellations. Since that last update I have designed an activity book and another maze book as well as updating two earlier maze books. The last of those updates was at the end of 2016. Exploring Tessellations: A Journey through Heesch Types And Beyond was published in October, 2015 and then for the next year was repeatedly updated as mistakes were corrected, new material added, and sections reorganized. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |