Lumifold is a making workshop in which participants engage with specific mathematics related to elementary symmetries, iteration and translation. A glide reflection pattern is provided in pre-scored paper in order for participants to transform the two dimensional flat sheet into a three dimensional sphere or cylinder called the Lumiball or Lumitall. The geometric shapes constructed during the activity demonstrate contrasting physical properties of stability and flexibility. In their final state of construction, the shapes are illuminated with small LEDs to highlight the biomimetic nature of the forms and delight the makers.