HYBRID EVENT: You can participate in person at Paris, France or Virtually from your home or work.

4th Edition of

Chemistry World Conference

June 17-19, 2024 | Paris, France

Chemistry 2024

Kung Chung Yuan

Speaker at Chemistry World Conference 2024 - Kung Chung Yuan
National Chung Hsing University, Taiwan
Title : The formation of the four-way symmetric translational tiles (crystal) and corresponding unit cells


Four-way symmetric translational tiles are typically observed in crystals with a fourfold rotational symmetry. These tiles can form various types of crystal lattices, depending on the arrangement of the tiles and the choice of unit cell. A Penrose collage may possess (so defined) five-fold rotational symmetry (on a specific point) and reflection symmetry, but not translational symmetry. Given the widespread acceptance of (so defined) five-fold rotational symmetry as a distinguishing feature of Penrose tiles, it appears no one believe that four-way symmetric Penrose tiles can be easily made. The most intriguing discovery is that Penrose tile has an infinite capacity for self-extension in translation, and with all six different inner-structure decagons coexisted.

The unlimited unit cell can be easily extracted from the tiling (crystal) that by coupling scheme of different Pentangular Penrose tiles ,that may be very useful   to image the structures of new quasi crystals.

Audience Take-Away:

  • The definition of crystal
  • Build an Imagination of quasicrystal
  • Solid state physics
  • It helps to draw an infinite large Penrose tiles, and perceives what it looks like at infinity
  • You may make an unlimited combination with basic circular and Pentagonal shape Kung’s clusters.
  • It will make a lot of money, if printed in 3mX3m, with million diamonds, and all six different Decagons coexisted.  At least one million with my signature.


Dr. Kung graduated from National Tsing Hua University 1969 and 1972 with BS and MS degree in physics, university of Alabama in Huntsville 1974 in physics and Northwestern university 1979 in material science. He is a Post doctor at Georgia Tech and research science at Lawrence laboratory, With about 6 years experiences in US industries Fairchild and National Semiconductor and he worked for ITRI (Taiwan) since 1987 and also worked for National  Chung-Hsing  University electric engineering department since 1991 to 2016 (retired).