Creating Geometric Patterns

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How To Create Your Own Unique Designs

You don't need to be a whiz at math to create your own beautiful geometric patterns. You just need to have an appreciation for the magic of numbers and the sacredness of geometry.

Celtic designs are a good example of the appeal of geometric patterns. One's eyes are drawn to the continuity of the lines in a Celtic knot, for example. Like a kid, when he's first exposed to a maze, he wants to follow the pathways to see if he can make it from Point A to Point B. It is my belief that people's eyes are drawn to an intriguing geometric design because of this desire to know if there is something magical, beyond the constraints of our physical universe as we know it.

The funny thing about math is that there is something magical about it. Numbers play all kinds of tricks on us that, unless we're geniuses, we're happy to sit back and ponder and observe, content like the magician's audience, in knowing only that - it's magic!

The designs I've created on these pages, and on the pages I'll be linking to, are created by me, by using several design tricks and tools I expect to share with you here, by way of videos and screenshots and descriptions. Feel free to save and use any designs you see here for your own purposes, commercial or otherwise, just so long as you link to this lens close to where you are using my design.

I hope you enjoy them as much as I do.

Geometric Patterns 

Become inspired by learning the fundamentals and some of the history

Hopefully you will find great inspiration for creating your own geometric patterns by learning more about them. Be sure to follow the sub-topics of Tessellations, MC Escher, and the others.

Category: File - :Buckfast bee.jpg|thumb|right|300px|A Honeycomb is an example of a tessellated natural structure

A tessellation or tiling of the plane is a collection of plane figures that fills the plane with no overlaps and no gaps. One may also speak of tessellations of the parts of the plane or of other surfaces. Generalizations to higher dimensions are also possible. Tessellations frequently appeared in the art of M. C. Escher. Tessellations are seen throughout art history, from ancient architecture to modern art.

In Latin, tessella is a small cubical piece of clay, stone or glass used to make mosaics.tessellate, Merriam-Webster Online The word "tessella" means "small square" (from "tessera", square, which in its turn is from the Greek word for "four"). It corresponds with the everyday term tiling which refers to applications of tessellations, often made of glazed clay.

Look How Cool I Am 

My Shoes Match My Skateboard

The Look How Cool I Am store is based almost entirely on how cool you'll look when you coordinate your shoes and skateboard in these "mathemagical" designs derived from ancient sacred geometrical patterns.

Look closely at any of these fascinating designs. If you're of a curious mind at all, you'll notice all kinds of strange things happening. Triangles that form larger traingles and even pentagons. Structures that seem to interlock with more complex structures, and hexagons that become dodecahedra.

You'll be reminded of Celtic knots and illuminated manuscripts; Chinese puzzles and Escher constructs. Keep gazing, but remember to come back because it won't do to get lost in them forever Grab a skateboard, lace up your Keds, and get out there. You won't need to shout, "Look How Cool I Am," because it will be obvious.

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Please Consider Our Teachers 

Choose which classroom project you'd like to help fund

At DonorsChoose.org, you can find tons of inspiration. Teachers from all over the United States put in their requests for donations for their various classroom projects, and you can donate as little or as much as you like.

When bright teachers are conducting fun and interesting classroom projects, don't you think the effects on our schoolchildren could be life-changing? Don't you think it's time teachers got a little assistance in bringing up our kids to be intelligent and productive citizens?

In case you run a Wordpress blog and have an interest in this charity, there is a plugin I suggest you install and activate. With this plugin, every post you make to your blog will be analyzed for its keywords, and it will return, at the end of your post, a list of related classroom projects from the listings at DonorsChoose.org. You can get the plugin from the link below. Rest assured it's a very easy process to install. It's a matter of unzipping the downloaded plugin and uploading the folder to your plugins directory (usually at yourDomain.com/Folder-Where-Your-Blog-Is/wp-content/plugins,) and navigating to the plugins dashboard, locating its listing, and selecting and activating it.

Possibly Related Classroom Projects

DonorsChoose.org is dedicated to addressing the scarcity and inequitable distribution of learning materials and experiences in our public schools.

We at Squidoo passionately believe in creating new ways to support good causes online. By making a donation to Donors Choose from this page, you are sending money directly to that organization, in whatever amount you want. We don't touch it. We don't even see it. The author of this page doesn't either. And if you made it this far, thanks for caring.

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Manipulating is a Good Thing 

Math teachers need manipulatives to give their kids hands-on lessons

Below, you'll find a listing of classroom projects related to geometric patterns, or more broadly, math in general. One teacher from a high-poverty area in Florida is blessed with the task of teaching "alternative education " for kids in grades 3 - 5. Here's what she has submitted to DonorsChoose:
I am an elementary school teacher working within the Alternative Education Department in Florida.

The students in my class consist of elementary school students who have been removed from their traditional classroom due to violations of the county's Student Conduct and Discipline Code. These students are in grades 3-5 and have committed such serious infractions that, if they were older, would have them expelled from school. Such infractions include armed robbery, battery against a teacher, gun possession, etc.

But despite the serious infractions these students have committed, they are still children who can learn and who want to be successful. Students identified as being at-risk of educational failure are often ignored and given no incentives to succeed in school. These students need another opportunity to get interested in learning. They need to be engaged in interesting and challenging learning that goes beyond basic proficiencies.

This year I want to give my students an interactive method of learning mathematical skills. I am interesting in obtaining engaging math activity books, math manipulatives and math games. Manipulative materials will allow my students to explore and discover traditional mathematical functions such as addition, subtraction, multiplication, division, and create patterns from different angles. Manipulatives not only help children understand math, they also make math more fun.

My students need an assortment of math manipulatives, including tangrams, geometric solids, math bingo games, pattern blocks, and color tiles. The cost of this proposal is $468, which includes shipping for any materials requested and fulfillment.

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The Top 5 Geometric Picks From Amazon 

Begin With These and Explore Further

The subject of Geometry is vast, and there is certainly no shortage of material from which to glean information and helpful illustrations from Amazon's huge inventory, but at least this is a start.

Geometric Patterns from Islamic Art & Architecture

Amazon Price: $10.20 (as of 01/05/2010) Buy Now

Usually ships in 24 hours

Islamic Geometric Patterns (with CD-ROM) (Book & CD Rom)

Amazon Price: $14.93 (as of 01/05/2010) Buy Now

Usually ships in 24 hours

Geometric Patterns (Pattern & Design Collection)

Amazon Price: $17.68 (as of 01/05/2010) Buy Now

Usually ships in 24 hours

Geometric Patterns and Designs for Artists and Craftspeople (Dover Pictorial Archive Series)

Amazon Price: $14.95 (as of 01/05/2010) Buy Now

Usually ships in 24 hours

Repeatable Backgrounds: Geometric and Abstract Patterns CD-ROM and Book

Amazon Price: $15.56 (as of 01/05/2010) Buy Now

Usually ships in 24 hours

Hexagonal or Pentagonal? 

What does it matter? The design is intriguing, right?

The image here is comprised of a repeating background tile I created by using an online tool I'll tell you about soon. It's started on a hexagonal foundation, but with the addition of a value of 5 added to one of the parameters, it came out looking like this.

Ghee Beom Kim's Geometric Art 

Watch beauty unfold from divine inspiration

Ghee Beom Kim is an accomplished artist/mathematician from Australia. Here is one of his more inspiring videos. Visit Geometric Arts at Ghee's Googlepages for even more great artwork examples.
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Does Anyone Make Any Money Selling on Zazzle? 

You'll find some good answers and some bad answers here

I wanted to know, before I began selling my designs on skateboards and shoes and tote bags and such, if it really is profitable to have your own Zazzle gallery. I always submit questions like this to the Yahoo Answers community, and I always get some really good results, piled in there with all they "hypey" results, and some that is just plain "misinformation."

Learn what you can from the items below, and watch this lens for a lot more information on creating geometric patterns to sell on Zazzle.

I'm particularly intrigued by Zazzle's new embroidery interface. I can't wait to start generating designs that will look good when embroidered on different fashions.

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Who Likes Geometric Patterns? 

A List Of Other Geometric Pattern People's Lenses

Here's a work-in-progress collection of other lenses by people who love geometric patterns. It's a work-in-progress because you haven't asked to be included here.

since you love geometric patterns and want the world to know, please get yourself included. Contact me and add this lens to your lensroll. Please. :)

by YourMother

I go by the name laguna3dguy because I've always liked 3D, and I live in Laguna Beach, Ca., and I'm a guy.

I particularly enjoy geometric patterns.... (more)

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