全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

When Landscape Becomes Geometry: Fibonacci Spiral Patterning Anchored at the Bosnian Pyramid of the Sun

DOI: 10.4236/ijg.2026.172007, PP. 112-138

Keywords: Spatial Analysis, GIS Methodology, Fibonacci Spiral, Logarithmic Geometry, Monte Carlo Simulation, LiDAR-Derived Topography, Landscape Patterning, Non-Random Spatial Structure, Bosnian Valley of the Pyramids

Full-Text   Cite this paper   Add to My Lib

Abstract:

Evaluating large-scale spatial organization in natural landscapes is challenging, particularly when geometric patterns are distributed across multiple reference points rather than centered on a single location. Earlier work identified spiral-like configurations in the Bosnian Valley of the Pyramids. The present analysis extends those observations by testing whether such configurations conform to logarithmic spirals derived from Fibonacci growth models. High-resolution LiDAR data and geodetic coordinates are used to construct fixed geometric spirals anchored to prominent topographic and hydrological features. To determine whether observed alignments could arise by chance, Monte Carlo simulations are applied to randomized spatial distributions constrained by identical spatial boundaries. Several spiral trajectories intersect key landscape features more frequently than expected under random placement. These intersections recur across independent anchor points and do not rely on a single geometric center. The results indicate non-random spatial structure consistent with Fibonacci-based spiral models within the applied constraints. No inference is made regarding cultural intent, symbolic meaning, or chronology. The focus of the work is methodological, emphasizing reproducible GIS-based testing of spatial organization in complex landscapes.

References

[1]  Ashmore, W. and Knapp, A.B. (1999) Archaeologies of Landscape: Contemporary Perspectives. Blackwell Publishers.
[2]  Wheatley, D. and Gillings, M. (2002) Spatial Technology and Archaeology: The Archaeological Applications of GIS. Taylor & Francis.
https://doi.org/10.4324/9780203302392
[3]  Magli, G. (2013) Architecture, Astronomy and Sacred Landscape in Ancient Egypt. Cambridge University Press.
https://doi.org/10.1017/cbo9781139424554
[4]  Livio, M. (2002) The Golden Ratio: The Story of Phi, the World’s Most Astonishing Number. Broadway Books.
https://www.researchgate.net/publication/305268297_Mario_Livio-The_Golden_Ratio_The_Story_of_PHI_the_World’s_Most_Astonishing_Number-Broadway_Books_2003
[5]  Buza, E. (2007) Geodetic Survey of the Northern Face of the Bosnian Pyramid of the Sun. First International Scientific Conference on the Bosnian Valley of the Pyramids, Sarajevo, 25-30 August 2008, 58-65.
[6]  Osmanagich, S. (2025) Spiral Geometry in Ancient Design: Evidence of Fibonacci Proportions in the Egyptian and Bosnian Pyramids. Acta Scientific Environmental Sciences, 2, 1-23.
https://doi.org/10.5281/zenodo.15521278
[7]  Osmanagich, S. (2025) Multidisciplinary Evaluation of the Pyramid-Shaped Formation Near Visoko, Bosnia-Herzegovina: A Case for Anthropogenic Construction. Journal of Biomedical Research and Environmental Sciences, 6, 503-529.
https://doi.org/10.37871/jbres2106
[8]  Osmanagich, S. (2025) True North Across Civilizations: Comparative Study of Pyramid Alignments on Five Continents. Acta Scientific Environmental Sciences, 2, 57-67.
https://doi.org/10.5281/zenodo.17505636
[9]  Osmanagich, S. (2025) Golden Geometry Revealed: The Fibonacci Link between the Pleiades and the Bosnian Pyramids. International Journal of Aerospace Science, Technology and Engineering, 1, 1-22.
https://doi.org/10.33140/ijaste.01.01.05
[10]  Osmanagich, S. (2025) From Orion’s Belt to the Pleiades Spiral: A Comparative Archaeoastronomical and Statistical Analysis of Pyramid Alignments in Egypt and Bosnia. NT Research in Statistics & Mathematics, 4, 1-27.
[11]  Osmanagich, S. (2025) Geometric and Statistical Modeling of Large-Scale Spatial Similarity Using Fibonacci-Based Metrics a Case Study of Terrestrial and Celestial Point Networks. International Journal of Computer Science, Engineering and Applications, 15, 9-25.
https://doi.org/10.5121/ijcsea.2025.15602
[12]  Hewitt, R.J., Wenban-Smith, F.F. and Bates, M.R. (2020) Detecting Associations between Archaeological Site Distributions and Landscape Features: A Monte Carlo Simulation Approach for the R Environment. Geosciences, 10, Article 326.
https://doi.org/10.3390/geosciences10090326
[13]  Staddon. M.F. (2025) Phyllotaxis in a Keller-Segel Model. arXiv: 2509.06498.
[14]  Swinton, J. (2024) Disk-Stacking Models Are Consistent with Fibonacci and Non-Fibonacci Structure in Sunflowers. arXiv: 2407.05857.
[15]  Bacon, M.R., Cook, C.K., Florez, R., et al. (2024) Fibonacci-Theodorus Spiral and Its Properties. arXiv: 2407.07109.
[16]  Nell, E. and Ruggles, C. (2014) The Orientations of the Giza Pyramids and Associated Structures. Journal for the History of Astronomy, 45, 304-360.
https://doi.org/10.1177/0021828614533065
[17]  Petrie, W.M.F. (1883) The Pyramids and Temples of Gizeh. Field & Tuer.
https://archive.org/details/cu31924012038927
[18]  Ruggles, C.L.N. (1999) Astronomy in Prehistoric Britain and Ireland. Yale University Press.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133