2021 Joint Mathematics Meetings

Hou-Hsun Ho and Bih-Yaw Jin

Artists

Hou-Hsun Ho

Ph.D. Student in Chemistry

Chemistry Department, National Taiwan University

Taipei, Taiwan

b06203004@ntu.edu.tw

Statement

Beading, a traditional craft, has been employed here to create aesthetically pleasing 3D sculptures inspired by molecules. A large variety of nanoscale objects, including fullerenes, graphitic structures, and zeolites can be systematically constructed with the standard beading technique, such as the figure-eight stitch. The resulting bead structure can be viewed as loose-packing of hard spheres with spatial positions arranged according to the corresponding chemical graph. For bead models of trivalent carbon structures, these beads in fact stand for valence electron pairs in the molecules, and the final equilibrium shapes are due to the balance between repulsions among beads and attractions generated by pre-stressed strings.

Artworks

Image for entry 'Carbon nanotubes Borromean rings'

Carbon nanotubes Borromean rings

7 x 7 x 7 cm

3mm plastic beads

2020

Inspired by the new IMU logo based on the tight Borromean rings designed by John Sullivan, this bead model represents the corresponding molecular analogue consisting of three Stadium-shape toroidal carbon nanotubes (TCNTs), each of which is an elongated torus with a pair of semi-circles positioned at opposite ends.
Image for entry 'Dodecahedral polylink of six star-shaped toroidal carbon nanotubes'

Dodecahedral polylink of six star-shaped toroidal carbon nanotubes

13 x 13 x 13 cm

3mm plastic beads

2020

This tightly packed regular polylink consists of six star-pentagonal TCNTs lying on the six great circles of the corresponding icosidecahedron. The distribution of non-hexagons on each TCNT is carefully chosen in order to give five well-defined longitudes and roughly the same size of meridian cross sections along the whole cycle.