Time: June 7, 106 (Wednesday)

Lecturer: Professor Xie Jiarui

Location: Briefing Room, 3F, Beimen High School Administration Building

Lecture content:

Course Outline:

This study is mainly about lectures, the theme is to present the beauty in mathematics, and finally extends to mathematics in art.

Professor Xie has always emphasized that he hopes to cultivate students' "mathematical eyes". There are many "common mathematical languages" in nature, such as tortoise shells, bubbles and honeycombs. These are all "embryonic" patterns. Once there is a pattern, there is mathematics in it.

Starting from the Fibonacci sequence and the golden ratio, we progress to the golden rectangle, the golden triangle, the golden spiral and the golden angle. Some of them are regular relationships that exist in nature, such as multi-petal flowers or the heart of a sunflower, which contain gold. Angular proportions.

Perspective since the Renaissance has been an application of mathematics, and Eichel is a leader in playing with illusion and perspective.

Thoughts and feedback:

When the seminar was held, it was already the end of the cross-field course, and I suddenly realized that there are many possibilities for course development. For example, Professor Xie Yi started to use the "double-sided pareidolia", which means yes when viewed from one direction and no when viewed from another angle.

At present, I heard that many schools use the "golden ratio" to develop their curriculum, so there are many examples for reference.

Regular polygons (four corners, hexagons, octagons) that are common in life can perfectly cover a flat surface, but "pentagonal tiles cannot cover the floor of a room?" I thought that I could let students do it because there are many possible combinations. method, and can be combined with "Arabic style" tile design.

Professor Xie used simple ppt animations and illustrations to dismantle how Aichel's trompe l'oeil graphics are completed. This also helps students understand the principles of trompe l'oeil graphics and allows students to extend their own creations.

In addition, Professor Xie also introduced a "Cultural Memory Museum" in Germany that contains "mathematical art" works. Abstract works created using prime numbers, the golden ratio, etc. are also worth introducing to students.