How does string art relate to geometry

Mini String Art Kits. Punch Needle Kits. Painting Kits. Beading Kits. Story Behind String of the Art. The Origins of String Art. With a marker or pencil, mark each of the points on your design. Optional: After all points are marked, use your thumb or ruler to mark points about an inch apart along all lines of your design. Place your design over your workspace and begin nailing or pushing pins into each of your marked points. These should be deep enough to not move when wiggled.

Now comes the fun part! Go along the outline of your design, looping around each pin, keeping the string taut without pulling so hard that you pull out the pins. Once the outline is done you can choose to leave it as it is or fill the inside of the design.

Carefully remove the design template from behind pins. With your project complete, see what shapes you can spot within all the crossed lines of string! Directions for project if doing without p ins:. Tape the beginning of your string on the back of your project starting at any of the edge cuts.

They have to see the patterns in the slopes and y-intercepts to create the designs. I have done these designs for years using string and poster boards the nails and wood are intimidating to me ; however, this is the first year that I actually connected the designs with the geometry and algebra they have done during the school year. This looks amazing! Can you provide the steps used to create the parabolic curve?

I would love to try this with my students aged 9 years — 12 years. I used string art to teach mid-point theorem to my high school school geometry class.

I asked them to make a design with straight sides on a co-ordinary grid. Then they had to find the mid-points using the formula. It is fascinating to discover a curve formed from a series of straight line segments. Line designs utilize basic geometric forms, making curves out of segments. Order and symmetry are the basis of string art's appeal. Elaborate designs can be created with geometric shapes, points, and colored string.

Line designs form a basis for mathematical understanding of geometric shapes and relationships of points, segments, and angles. Each of the line segments is really a tangent for each of the curves being formed. But because of what we focus on, we often see the curves.

For example, some of the curves that can be created are circles, parabolas, ellipses, hyperbolas, spirals, and some lesser known curves called cardioids, limacons, and deltoids. Yet in each case they were created with angles of different sizes, regular and irregular polygons, and a lot of segments and points. Attractive and sophisticated line designs can be produced and created using only a ruler, compass, protractor, pencil, and paper.

Computers can be used to imitate this procedure; Geometer's Sketchpad is software that can be used. Symmetry - line symmetry, rotational symmetry, and point symmetry bring interest and charm to your string art. You can use nails and wood, foam core or cork with strong pins, or a stiff piece of cardboard or thin wood with holes in it to provide your working surface. You can paint or cover the working surface.

String, embroidery thread or thin yarn can be used to stitch your piece of mathematical art. For instance, if you construct the diagonals of a regular gon an icosikaitetragon you will be able to see many concentric circles.

Sometimes the empty spaces in the design are as important as the placement of the string. Notice how a curve was formed by connecting points along the sides of an angle in the illustration below. Use your compass, a straightedge, and colored pencils to create an original and interesting pattern to stitch.

Major Parts of this Project. This is a major grade and should be taken seriously. Late work will not be considered. Three things are to be turned in :.