Fibonacci number patterns and triangular patterns with intrinsic defects occur frequently on nonplanar surfaces in nature, particularly in plants. By controlling the geometry and the stress upon ...

1 Department of Science and Technology, Kwansei Gakuin University, Hyogo, Japan. 2 Liberal Arts and Sciences, National Institute of Technology, Anan College, Tokushima, Japan. Turing showed that a ...

Cacti use spines with conical geometry to transport water to its base. A conical shape with curvature gradient generates a Laplace pressure gradient along the droplet, which is responsible for droplet ...

This project presents a new algorithm for identifying perfect numbers by leveraging beautiful triangular numbers. By discovering and implementing a unique pattern in the geometric structure of ...