{"id":72,"date":"2021-04-03T20:54:04","date_gmt":"2021-04-03T20:54:04","guid":{"rendered":"http:\/\/blogs.dickinson.edu\/playing-with-polygons\/?page_id=72"},"modified":"2024-03-24T16:28:52","modified_gmt":"2024-03-24T16:28:52","slug":"file-2","status":"publish","type":"page","link":"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/file-2\/","title":{"rendered":"2. String Art"},"content":{"rendered":"
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String Art on Polygons and Stars<\/strong><\/p>\n

3 versions of the Excel File: 2.String Art<\/a>\u00a0 \u00a0 \u00a0\u00a0 \u00a0\u00a0 2.String Art (with algebra)<\/a> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2.String Art (for teachers)<\/a><\/p>\n

To see some of the range of images you can create using 2.String Art<\/strong>,\u00a0 click here<\/a>.<\/p>\n

How it works:<\/strong> All images are created using 4 parameters: n<\/em><\/strong>, the number<\/em> of vertices in polygon; S<\/em><\/strong>, the number of equally spaced subdivisions<\/em> between vertices; P<\/em><\/strong>; the number of subdivisions between points<\/em>; and J<\/em><\/strong>, the number of clockwise counted polygonal vertex jumps<\/em>. Two parameters, n<\/strong><\/em> and J<\/em><\/strong>, create the vertex frame. Each piece of the vertex frame is subdivided into S<\/em> <\/strong>equal pieces. These subdivision endpoints are the only possible endpoints of segments in the image. The image is created, starting at the polygon’s top vertex, by connecting every P<\/em><\/strong>th<\/sup> subdivision endpoint with a line from the previous endpoint until the circuit is completed by having an endpoint at the top starting point.<\/p>\n

Old-school exercises<\/strong>: One way to learn about string art is to do some comparative examples using the Pencil and Ruler<\/em> sheets to the right. Two versions are provided, one that includes the vertex frame and one that does not. Print out the sheets and make sure to use a pencil and ruler. Check your answers using the Excel file.<\/p>\n

About<\/em> Explainers<\/em><\/strong>. Explainers are short documents (most one page, some two pages) that explain specific aspects of the file. Think of these as supplementary material that will help you better understand the file.<\/p>\n

Notes: MA<\/strong> (M<\/strong>athematical A<\/strong>pproach<\/em>) explainers dive more deeply into the material and may not be accessible to primary school audiences. In PwP, the identifier E#<\/strong> identifies this material as being in Chapter # of ESA<\/a>.<\/p>\n

It may be worthwhile to at least look at 2.1 while initially learning about File 2. You need not look at other explainers until you want to learn more about why an image looks the way it does. Some explainers require greater mathematical understanding but none have to be read to enjoy the file.<\/p>\n