In fall 1998, students in an Oklahoma State University geometry class made displays about border patterns. Somebody put the work on the Web. It is still there.
Visit the GeoSET Border Pattern Gallery
The material came from MATH 3403, Geometric Structures, and was part of Oklahoma State’s GeoSET project: Geometric Structures for Elementary Teachers. The larger project was designed around teaching geometry to future elementary-school teachers and helping them carry that material into classrooms.
The border gallery is wonderfully specific. Students were asked to imagine an educational conference where seventh- and eighth-grade students and their teachers would visit campus. Each group had to build a display explaining border patterns in a way those visitors could use.
The surviving project list includes titles such as All About Borders, Can You Identify the 7 Symmetries, Border Safari, Different Types of Symmetry, Borders, Borders, Borders, Under the Sea Borders and a Christmas-themed border project.
Seven ways to repeat a strip
A border pattern is a design that repeats along one direction. What looks like decoration becomes a compact lesson in symmetry: translation, reflection, glide reflection and rotation combine into exactly seven mathematical classes of strip patterns.
The GeoSET pages turn that fact into something visual instead of burying it in notation. The site also preserves supporting material intended for teachers, including a downloadable border archive with PDF, Word, Adobe Illustrator, EPS and BMP versions of designs.
That file-format list is a small time capsule by itself.
The archive documentation explains that the Illustrator files were the highest-quality versions, while individual patterns were also supplied as 1,500-pixel-wide BMP files and 360-point EPS files. The stated purpose was practical: teachers could cut, paste and reuse the patterns when preparing exams or other curricular material.
This is the kind of university Web material that ages unusually well because the underlying subject did not expire. Browser fashion changed. The seven border symmetries did not.
There is also something worth stealing from the site’s structure. The project does not make visitors click through six layers of institutional branding before reaching the work. The gallery names the projects, links the student material and provides the files. The useful thing is close to the surface.
A class assignment from 1998 became a public teaching resource simply because somebody bothered to leave the directory online.