Enantimorphs for compounds of five tetrahedra

Left- and right-handed compounds of five tetrahedra built by a student, 資工系 徐衍新, in my class, Molecular Aesthetics 2020.

Bead model of Menger sponge

A group of students, 紀彥仰 (Electrical Engineering), 戴子宜(Electrical Engineering), 吳柏成(Computer Engineering), in my class, Molecular Aesthetics 2020, designed and built a beautiful bead model of Menger sponge.

P-type Triply-Periodic Minimal Surface. (Molecular Aesthetics 2020)

Bead model for a P-Type Triply Periodic Minimal Surface constructed by a group students in my class, Molecular Aesthetics 2020.

Klein bottle

Three students in my class, Molecular Aesthetics, constructed a bead model of Klein bottle.



My contribution to their work is to tell them that this model can be done with mathematical beading. Especially, I showed them how to systematically construct the interpenetration of a graphene surface and a carbon nanotube, which is essential part of this model. In addition to my part, the TA of this course, Hou-Xun Ho (何厚勳), who developed a systematic strategy to build smooth tori with large rotational number, plays an important role for successful construction of this model with beads.

各種病毒的串珠模型

去年(2019 Spring semester)一組學生製作了四種不同型態的病毒模型：一般常見的二十面體病毒結構（Icosahedral virus）、菸草花葉病毒（Tobacco Mosaic virus）、HIV病毒、噬菌體（bateriaphage）。



還有另一組製作了另一種設計的噬菌體。



當時新冠病毒尚未流行，沒人想到要做一個模型。（Molecular Aesthetics 2019）

Bead models of ZSM-5 (MFI) & ZSM-11 (MEL)

I offered a course, Molecular Aesthetics, in the spring semesters of last and this years. Students are required to build bead sculptures as the final term projects. Last year, a group of six students, 黃正浩，黃兆嘉，黃冠霖，黃愉惠，林汶輝，葉錦德, built together a beautiful model of zeolite MEL. The final structure consists of sixteen helical pentasil chains. Two neighbored chains forms a pair of enantiomorphs. Following my suggestions, students adopted one color for left-handed helices, and another for right-handed helices.



A different group of students this year decided to complete a different zeolite, ZSM-5 (MFI), based on the same helical pentasil chains. The spatial arrangement of helical chains is basically the same. The only difference is the alignment of the chains relative to the neighbored chain along z-direction.

Bead model of coronavirus (SARS-CoV-2)

A group of students in my class, "Molecular Aesthetics", is working on a bead model of coronavirus(SARS-CoV-2). They adopt (8,0)-Goldberg polyhedron for the envelop with 60 spikes distributed on the surface. I hope they can complete it next week.