Chia-Chin Tsoo & Bih-Yaw Jin
Artists
Bih-Yaw Jin
Professor
Department of Chemistry, National Taiwan University
Taipei, Taiwan
Statement
Zeolite, a family of aluminosilicate minerals based on the TO4 tetrahedral units, where T is an aluminum or silicon cation and O is an oxygen anion, provides a best example of the minimum inventory/maximum diversity systems of Peter Pearce. A rich variety of zeolite structures can be thought to consist of a few polyhedral building units, such as truncated octahedra, prisms, and dodecahedra, which again are made up of vertex-linked tetrahedra with oxygen anions located at vertices. Here, we show that the mathematical beading can be used to construct the hard-sphere open packing models of these zeolite structures, in which spherical beads represent oxygen anions; while smaller cations hidden inside the tetrahedra are not shown in the model.
Artworks
![Image for entry 'Bead model of Sodalite structure'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6NjAxOCwicHVyIjoiYmxvYl9pZCJ9fQ%3D%3D--d4da1a836e9e000ad6ff1bad1133c9e8fc0cfe57%2Fimg_8222.jpg&w=1536&q=75)
Bead model of Sodalite structure
20 x 20 x 20 cm
17mm Wooden beads
2015
![Image for entry 'Bead model of Zeolite A structure'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6NjAxOSwicHVyIjoiYmxvYl9pZCJ9fQ%3D%3D--e9ddb1bcbcde6675707fe2c2b5f65e14bbc54001%2Fimg_8519_1.jpg&w=1536&q=75)
Bead model of Zeolite A structure
18 x 18 x 18 cm
10mm plastic beads
2015