Update: a kind audience provided us with a recording of the event. Thank you, Diego! Dr. Robert Lang is a world-renowned origami artist whose books on the art are considered “bibles”, and a physicist/mathematician who avidly does research about origami in these two fields and many more, producing truly remarkable results like the folding mechanism … Continued
The slides and the quiz An explanation for 5: The interior angles of an arbitrary n-gon add up to 180.(n-2), and so each angle of a regular n-gon is 180(n-2)/n. A vertex of an n-gon that can tile the plane by itself has to be surrounded by copies of such an n-gon. This means that … Continued
Materials: Penrose Rhombus Tiles, Glue, Pencil, paper, eraser, electronic devices with an internet connection, favorably laptops, Wi-fi Goals: Participants learn more about periodic and aperiodic tessellations, Penrose tilings Topics: Tessellation, symmetries, translation, rotation, reflection, glide-reflection, (regular) polygon, (a)periodicity, the hat Details: To keep this article readable, further explanations are in part 2.
Material: Lots of business cards (or any type of paper of the same size, 4×7) Goal: Let participants have fun (and learn a thing or two about counting and fractals) Vocabulary: Menger’s sponge, fractal, surface area, iteration, volume Activities: Details: The shape after n times of this procedure (or iteration) is called a Level n … Continued