The quiz Think about geometry. When we talk about geometry, we talk about perfectly straight lines and uniformly curved circles. But are there any natural objects that are flawless like so? Look at rivers, plants, and animals: are any of them straight? So how do we measure, compare, and look into the properties of such … Continued
Materials: Pencil, paper, eraser, tetrahedron pieces, glue, tape, scissors, electronic devices with an internet connection (preferably laptops with Wi-fi) Goals: Our participants will develop a deep understanding of the iterated function system (IFS) process for generating fractals and will be able to apply it to create various types of natural objects, such as plants, lightning … 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
Material: Square paper (about 10-12 cm in length) Objective: Students get to know about modular origami, Platonic solids, and stellation. Topics: Modular origami, Platonic Solids Presentation What are Platonic Solids? Platonic Solids are a unique set of five polyhedra that possess the remarkable property of having all their faces and vertices equal. The five Platonic … Continued