4/1/2023 0 Comments A tessellationThere is an infinite number of such tessellations. Non-regular tessellations are those in which there is no restriction on the order of the polygons around vertices. There are eight semi-regular tessellations which comprise different combinations of equilateral triangles, squares, hexagons, octagons and dodecagons. Semi-regular tessellations are made up with two or more types of regular polygon which are fitted together in such a way that the same polygons in the same cyclic order surround every vertex. There are only three regular tessellations which use a network of equilateral triangles, squares and hexagons. Regular tessellations are made up entirely of congruent regular polygons all meeting vertex to vertex. In geometrical terminology a tessellation is the pattern resulting from the arrangement of regular polygons to cover a plane without any interstices (gaps) or overlapping. Examples range from the simple hexagonal pattern of the bees' honeycomb or a tiled floor to the intricate decorations used by the Moors in thirteenth century Spain or the elaborate mathematical, but artistic, mosaics created by Maurits Escher this century. I'm buying a copy now I'll see page 179 when it reaches me in a few months' time.Patterns covering the plane by fitting together replicas of the same basic shape have been created by Nature and Man either by accident or design. As of 2010, the book is out of print but many used copies are available on for about US$2 plus shipping. It's 192 pages, a little less than 30cm x 30cm, and weighs about 0.75 kilograms. The book was published in 1986 by Macdonald publishing house. Either way, it's worth noting that in the years since we first posted Rachael's tessellation tutorial, "Papercut Method" has grown to be 's most popular tutorial and one of our most visited pages.įor those of you interested in looking at that earlier make-it-yourself tessellation lesson, you can find it on page 179 in the book "Learn to Draw Step-By-Step" by Bruce Robertson. Perhaps Rachael reinvented it, unaware that someone else had thought along the same lines earlier, or perhaps Rachael simply rewrote Bruce Robertson's technique using her own words and artwork. Her class's do-it-yourself tessellation art gallery shows the final tessellation art AND the handmade patterns that the kids made while producing the art.Ī professional tessellation artist, David Bailey, has pointed out that someone wrote about this method before Rachael was even born. See how 4th grade art teacher Karen Weber's class made their own tessellations with this lesson. The kids really enjoy knowing that someone closer to their own age invented this method." Now swap the NE with the SW corners and swap the NW and SE pair. Lay the pieces out on the table just as they were before cutting, except leave a little gap in between.Now when the kids go back to finish the first line (starting exactly where they left off) we know they will get an accurate cut. Start cutting either line and cut to just past the point where it intersects the other line and stop.Here are some other word combinations that work: PETS/STEP, POTS/STOP, EVIL/LIVE or FLOG/GOLF, BRAG/GARB or TRAM/MART, TIME/EMIT, PANS/SNAP, or RATS/STAR. In step 3, rearrange the PARTs with the letters at the CENTER, so they spell TRAP. Note from the webmaster: It may make more sense to you if you label the outside corners PART. Before cutting out the drawn lines we write NW in the northwest corner, SW in the southwest corner, NE in the northeast corner and SE in the southeast corner.Step #1 and #3 are to get the tessera to tessellate. I finally added some little refinements which make it work nearly every time. "The tessellation method from your site which I tried to use with my 3 rd graders was Rachel's 'Papercut Method' but I had a lot of trouble getting it to work. You can also see this tessellation lesson adapted for Microsoft Windows' "Paint" program and any digital painting program.Īrt and Math teacher Jan Miller has this to add, based on using Rachael's tutorial in her classroom: We salute Rachael's effort and desire to help others. It came to us from 15-year-old Guest Artist Rachael G*. This particular tessellation tutorial is also a landmark: our first tessellation lesson sent to us by a guest artist, years ago. This tessellation lesson is easy and foolproof.
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