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In several desert areas, the slow motion of sand dunes can be a challenge for modern human activities and a threat for the survival of ancient places or archaeological sites. However, several methods exist for surveying the dune fields and…

Geophysics · Physics 2011-12-26 Amelia Carolina Sparavigna

The Nabateans built several monuments in Petra and elsewhere displaying a decoration with a preference for astronomical motifs, possibly as a reflection of their religion. However, due to the lack of direct written accounts and the scarcity…

History and Philosophy of Physics · Physics 2012-09-10 J. A. Belmonte , A. C. Gonzalez-Garcia , A. Polcaro

In the ancient Egypt seven goddesses, represented by seven cows, composed the celestial herd that provides the nourishment to her worshippers. This herd is observed in the sky as a group of stars, the Pleiades, close to Aldebaran, the main…

History and Philosophy of Physics · Physics 2008-10-10 Amelia Sparavigna

We study periodic linear trajectories in the double pentagon and periodic billiard trajectories in the regular pentagon.

Dynamical Systems · Mathematics 2015-03-18 Diana Davis , Dmitry Fuchs , Serge Tabachnikov

In a recent work, arxiv:2412.20407, we have mentioned two Egyptian kings, Shepseskaf and Userkaf, of the IV and V Dynasties. Here we continue discussing their burial places, that is their pyramids, in a new framework based on the study of…

History and Philosophy of Physics · Physics 2025-04-02 Amelia Carolina Sparavigna

Textual and archaeological sources are used to provide a synoptic vision of the universe in India. This vision was based on an assumed equivalence of the outer and the inner cosmoses and it is embodied in architecture, music, and art. It…

History and Philosophy of Physics · Physics 2009-04-13 Subhash Kak

We give a tree structure on the set of all periodic directions on the golden L, which gives an associated tree structure on the set of periodic directions for the pentagon billiard table and double pentagon surface. We use this to give the…

Dynamical Systems · Mathematics 2024-07-24 Diana Davis , Samuel Lelièvre

When people mention the number theoretical achievements in Ancient China, the famous Chinese Remainder Theorem always springs to mind. But, two more of them--the concept of primes and the algorithm for counting the greatest common divisor,…

History and Overview · Mathematics 2009-10-05 Shaohua Zhang

A regular truncated pyramid with rectangular bases;consists of two rectangular bases whose centers are orthogonally aligned with respect to the parallel planes containing their bases; and two pairs of congruent isosceles trapezoids(the four…

General Mathematics · Mathematics 2012-10-26 Konstantine Zelator

Sundials and gnomons pointing out dates and times are a beautiful reminder of how we understand the movement of the Sun and use it to structure day and year. They also encapsulate the basic astronomical knowledge and concepts of the…

History and Philosophy of Physics · Physics 2012-06-04 D. Brown

We explore a cyclic universe due to phantom and quintessence fields. We find that, in every cycle of the evolution of the universe, the phantom dominates the cosmic early history and quintessence dominates the cosmic far future. In this…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-02 Changjun Gao , Youjun Lu , You-Gen Shen

Astronomical observations were used as a marker for time and the Calendar from ancient times. A more subtle calibration of epochs is thrown up by an observation of the position of the solstices and equinoxes, because these points shift in…

General Physics · Physics 2011-02-04 Burra G. Sidharth

Meteors can be classified into either sporadic meteors or showery meteors. We compile the meteor records in the astronomical archives in the Chronicle of the Koryo dynasty (918-1392), and investigate the spatial distribution of meteor…

Astrophysics · Physics 2009-11-07 Sang-Hyeon Ahn

We review some applications of the method of electronic searching for historical observations of sunspots and aurorae in the Chinese text corpus by Hayakawa et al. etc. However, we show strong shortcomings in the digital search technique as…

Solar and Stellar Astrophysics · Physics 2017-11-27 D. L. Neuhaeuser , R. Neuhaeuser , J. Chapman

In studies of the oldest solar system bodies - comets and asteroids - it is their fragments - meteoroids - that provide the most accessible planetary material for detailed laboratory analysis in the form of dust particles or meteorites.…

Earth and Planetary Astrophysics · Physics 2020-07-22 Pavol Matlovič , Juraj Tóth

In spite of much work, the overall spiral structure morphology of the Milky Way remains somewhat uncertain. In the last two decades, accurate distance measurements have provided us with an opportunity to solve this issue. Using the precise…

Astrophysics of Galaxies · Physics 2023-04-24 Y. Xu , C. J. Hao , D. J. Liu , Z. H. Lin , S. B. Bian , L. G. Hou , J. J. Li , Y. J. Li

The tumuli of Newgrange and Knowth in Ireland are among the most monumental heritages of the Neolithic era. The megalithic constructions date back to around 3'200 BC, centuries before the completion of Stonehenge and the Egyptian pyramids.…

Popular Physics · Physics 2021-02-15 Marc Türler

Meteorites, and in particular primitive meteorites (chondrites), are irreplaceable probes of the solar protoplanetary disk. We review their essential properties and endeavour to place them in astrophysical context. The earliest solar system…

Earth and Planetary Astrophysics · Physics 2024-09-12 Emmanuel Jacquet , Cornelis Dullemond , Joanna Drążkowska , Steven Desch

In this paper we explain what are the plinths and the pedestals of the skyscrapers (=plane partitions), and how one can use them in order to count the skyscrapers.

Combinatorics · Mathematics 2025-09-10 Oleg Ogievetsky , Senya Shlosman

According to an ancient Indian text (c. 1700 BC?), the heavens are 1000 earth diameters away from the earth. Other texts took the sun to be halfway to the heavens, so this suggests a distance of the sun about 500 earth diameters from the…

History and Philosophy of Physics · Physics 2007-05-23 Subhash Kak