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Updated: Jan 15, 2026

Quantifying Intermembrane Distances with Serial Image Dilations
Published on: September 28, 2018
Digital distance in the kisrhombille grid with the edge neighborhood
Fatma Kablan1, Benedek Nagy2, Béla Vizvári1
1Department of Industrial Engineering, Eastern Mediterranean University, Famagusta, North Cyprus, Mersin 10, Türkiye.
Abstract:
The kisrhombille tiling is the dual tessellation of one of the semi-regular tilings, composed of right-angled triangles arranged in 12 distinct orientations. A coordinate system has been employed to formally describe the grid of tiles. In this paper, two tiles are defined as neighbors if they share an edge in their boundary. The concept of digital distance is introduced as the minimum number of steps required to traverse between two tiles, and the corresponding distance formula is derived by constructing minimal paths.
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