Dimitrios S. Dendrinos

Dimitrios S. Dendrinos
University of Kansas | KU · Department of Urban Planning

PhD University of Pennsylvania, Philadelphia
I wish to thank all of the 178,000 readers of my 130 papers I had posted here (as of September 30, 2022).

About

130
Publications
178,314
Reads
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977
Citations
Additional affiliations
June 2003 - June 2017
University of Kansas
Position
  • Professor Emeritus
Description
  • I now work on subjects of Archeology, Architecture, Astronomy and Mathematics
August 1975 - June 2003
University of Kansas
Position
  • Professor
Education
August 1972 - June 1975
University of Pennsylvania
Field of study
  • City and Regional Planning
September 1969 - June 1971
Washington University in St. Louis
Field of study
  • Architecture and Urban Design
August 1962 - February 1968
Aristotle University of Thessaloniki
Field of study
  • Architecture Engineering

Publications

Publications (130)
Article
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A new class of ellipses is discussed in this paper, with the bezel ellipse of the Minoan 5-priestess signet ring from the 1450 BC Pylos’ tomb of the Mycenaean Griffin Warrior acting as the springboard to this new classification. The ellipse carries a strong mathematical interest. The elementary theorems governing ellipses that obey the condition th...
Article
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The paper documents the date for the initial construction phases of Layer III of structures D (middle 6th millennium BC) and structure C (end of 6th millennium BC - beginning of 5th millennium BC) at Gobekli Tepe. It is a sequel to the author's September 19, 2016 paper "Dating Gobekli Tepe". It uses comparative Architecture and Design analysis from...
Article
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The paper analyzes the evidence regarding the dating of the Gobekli Tepe complex. First, it examines the C14 dating information supplied by the archeologist in charge of the Gobekli Tepe excavation, Klaus Schmidt, and a number of others. This is claimed as evidence that Gobekli Tepe is of the at least PPNB period. The evidence they analyzed was obt...
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The paper presents both an introduction to the theory of shadows and their mathematics, with a concentration in the cast-off shadows from megalithic Neolithic monuments. It is addressing lengths of shadows' dynamics above the Tropic of Cancer at the Northern Hemisphere. A companion paper presents the length of shadows' dynamics at and below the Tro...
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This is an updated version of an earlier paper titled "Stonehenge, Durrington Walls, Newgrange: Monuments to the Egyptian Bull and Cow Cults and Origins of Innovation" by the same author. However, in this paper new material has been included. Thus, this paper marginally amends (in view of the summer 2016 retraction of the summer 2015 announcement r...
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This short paper’s objective is to deal with three subjects that are in the author’s mind, as he works on the paper regarding Eratosthenes’ experiment on how to estimate the Earth’s Polar Circumference. In the first section of the paper, a few notes are supplied on the apparently Neolithic in chronology Scottish carved stone balls; the author’s spe...
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The 25-page long paper briefly addresses the “climate change” movement. It differentiates it from the rigorous mathematical fields of Climate Dynamics and Climate Evolution, and it places it within the framework of a pseudoscience. “Climate change” is viewed as a descendent of the earlier largely political “anthropogenic global warming” (AGW) lefti...
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This very brief paper is an attempt to commence a bigger effort towards incorporating the basic cannons of the New Epistemology into deriving a New Cosmology. In that effort, the intrinsic role of scale, along with space-time, is highlighted. By taking a look at what an Earth’s observer considers to be the micro and macro scales, the paper offers a...
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The paper has two main aims: first, to establish a hierarchically decomposed, based on their recorded influences, List of 55 prominent Ancient Greek mathematicians, of the circa 700 BC to circa 350 AD period. Drafting of the List was strictly founded on the written and relatively well documented historical record; the objective behind the drafting...
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The paper’s objective is to discuss and critically analyze the papyrus fragment P. OXY. 29 that contains what is considered to be Proposition 5, from Book II, of Euclid’s Elements. This particular fragment contains enough information on it to draw some preliminary conclusions regarding its making. It is suggested that P. OXY. 29 contains a scribe’s...
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The paper challenges two of conventional Cosmology’s assumptions on the homogeneity and isotropy of the Universe. In addition, it offers further elaboration on the subject of scale, scalability and scaling, by taking a closer look at the evidence related to various macroscopic images of the Universe. The analysis is carried out under the basic clau...
Article
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This paper is an updated version (the second) of the paper by this author on the subject “Dynamics of Shadows at and below the Tropic of Cancer”, in the Northern Hemisphere, of April 7, 2017 as revised on April 13, 2017 (Update No. 1). This second update deals with the topic of midday shadow-free condition producing vertical Sun, at the various lat...
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An analysis is presented dealing with issues associated with scale and scaling time and events (objects) in Nature, Society and Reality. An example from stock market behavior is used, as the basis to construct the main arguments. The foundations of the field of “Economics at the Microscale” are established. Various issues arise surrounding the repo...
Article
This 8-page long paper addresses the Linguistic implications of two Latin expressions, involving temporal sequencing regarding structures, objects and events, for Set Theory, Topology and Symbolic Logic in view of fuzziness and fluidity, two core characteristics in the field of what this author has called the “New Epistemology”. The two Latin expre...
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This 8-page long paper addresses the Linguistic implications of two Latin expressions, involving temporal sequencing regarding structures, objects and events, for Set Theory, Topology and Symbolic Logic in view of fuzziness and fluidity, two core characteristics in the field of what this author has called the “New Epistemology”. The two Latin expre...
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The 40-page paper deals with an effort to set a “meta” framework in Mathematics, Logic and Linguistics to derive all statements about Nature, Society and Reality. Aspects of scaling, and the use of space-time (what is referred to as the “triptych” are put forward as the top fundamental notions in establishing a hierarchical framework that involves...
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This short Note addresses the possible long-term effects of telecommunication and especially Virtual Contact in the workplace (within the megatrend of "work from home") upon the form and structure of cities. It also supplies a few comments on the notion of a Cybercity in Cyberspace.
Article
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In this brief paper, a number of epistemological aspects of “change” are elaborated. The analysis is largely, albeit not exclusively, based on the Dendrinos-Sonis deterministic, Universal Map, of discrete, nonlinear, relative, spatial-temporal dynamics which was developed in the 1980s. A retrospective look is taken on this Universal Map, in view of...
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This brief paper addresses epistemological issues which emerge from the use of the Universal Map of discrete, nonlinear, relative spatial-temporal dynamics not addressed before in the literature. It is an exploration into the processes of aggregating (or disaggregating) stocks and locations, utilizing as its base the deterministic Dendrinos-Sonis U...
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This paper is a follow-up to a series of papers on the topics of both: (a) Minoan Miniature Art, as recorded on the gold signet Minoan 5-priestess ring with Miniature Art found on the Griffin Warrior’s tomb at Pylos; and (b) on the presence of Quanta on Archeology’s Architecture and artifacts, a theoretical construct proposed by this author, and ba...
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This brief paper is a continuation of the paper by this author, in ref. [1], on the subject of "imperfections" encountered in all fields of Science, Logic, Linguistics and elsewhere. It takes off from a recent publication found in ref. [2], about some new findings in the field of Quantum Mechanics involving the phenomenon of quantum entanglement. T...
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This is the first part of a two-paper sequence. The sequence intends to present a theoretical model based on the probabilities-amplitudes interpretation of Quantum Mechanics, on the basis of which a speculative Evolutionary Theory of Neolithic megalithic Architecture of Western Eurasia and North-East Africa can be stated. In this first paper of the...
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This is the second part of a two-paper sequence. The sequence intends to present a theoretical model based on the probabilities-amplitudes interpretation of Quantum Mechanics, on the basis of which a speculative Evolutionary Theory of Neolithic megalithic Architecture of Western Eurasia and North-East Africa can be stated. In this second paper of t...
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The paper offers a brief recap of the literature on the “Tazza Farnese” artifact. It also supplies some new insights on the shallow phiale’s description, iconography, and its possible travels over the past 23 centuries or so. Use is made of methods drawn from the author’s work towards deriving a “New Epistemology”. Foundations of this Epistemologic...
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The paper elaborates on points raised on a previous paper by this author titled “Carbon-14 evidence and Neolithic sites: dating the Architectures of Boncuklu Tarla and Gobekli Tepe”. It also discusses and analyzes some more recent carbon-14 related evidence from Gobekli Tepe published by a team of archeologists associated with the excavation there.
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This is an Addendum to a previous paper under the same title published by this author on June 10, 2021. It amends and expands on themes and points made in the prior article.
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His contributions to Symbolic Logic, and by extension to Epistemology, are only comparable to those by Aristotle. In the photo, Gödel is shown in his "Incompleteness Theorems" days. Source of photograph: reference [A] Nature is in an incessant process of adjusting, self-correcting imperfections of its own making. "Most often things go well, but at...
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The paper reviews and evaluates the published evidence produced by the archeologists of Boncuklu Tarla regarding the dating of the site. It also addresses a number of issues associated with carbon-14 dating of Neolithic sites’ structures, including Gobekli Tepe and Nevali Cori in addition to Boncuklu Tarla. Furthermore, the paper recommends a rigor...
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The paper (a continuation of a prior paper by this author on the Neolithic settlement of Boncuklu Tarla) discusses the Architecture (floor and site plans) of the temple associated with the archeological site near the town of Dergecit, in the district of Mardin, in South-Eastern Anatolia, Turkey. In spite of the very limited published archeological...
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The paper provides an evolutionary sequence regarding the sites Boncuklu Tarla, Nevali Cori, and Gobekli Tepe. It argues that Boncuklu Tarla is the oldest of the three and a late eighth to early seventh millennium BC site; that Nevali Cori is a late seventh to early sixth millennium BC settlement; and that Gobekli Tepe is a middle sixth millennium...
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The fundamental thesis is advanced that key notions associated with unavoidable and inherent dynamic nonlinearities, fuzziness, incompleteness, indeterminacy, inexactness, approximations, uncertainty, risks, and heterogeneity (differences, dissimilarities, varieties, diversity) in Nature (in Physical, Biological and Social Systems) constitute the c...
Article
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This is the second paper, in a 2-paper sequence by this author, the first being that of ref. [4], where the fundamentals of a New Epistemology were set. Its major tenets are employed here in the field of Evolutionary Biology. The part of Biology that is tied to Darwinian Evolution (species and speciation) is re-examined and critiqued. Major flaws a...
Article
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This is a post on my Minds site, posted on January 27, 2019. It outlines the broad framework of analyzing change in both Nature and Human Societies, and the humans' evaluation of those changes by applying various value systems, which in turn are subject to change in space-time. Speculative behavior is incorporated into the analysis. It is pointed o...
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Certain major topics on the subject of interregional and international migration of population stocks, as well as of the interregional and international flows of the two central input factors in the economic production process – namely capital and labor – are addressed in this paper. The key findings are that: first, uncontrolled global migration i...
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This is the second paper in a series of two papers on ancient artifacts movement in space-time. The paper presents the theoretical mathematical model, which is an extension of the Universal Map of Discrete Relative Spatial Dynamics developed by D. Dendrinos and M. Sonis in the 1980s. The paper expands on this model and offers a comprehensive approa...
Article
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This is the first paper of a two-paper series, dealing with ancient artifacts and their movement in space-time. It provides the background to the theoretical mathematical model supplied in the second paper.
Article
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This is an update of the paper under the same title by the author. It contains editorial corrections and the formal permission by the University of Cincinnati Dept. of Classics to use the image of the ring.
Article
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A new class of ellipses is discussed in this paper, with the bezel ellipse of the Minoan 5-priestess signet ring from the 1450 BC Pylos’ tomb of the Mycenaean Griffin Warrior acting as the springboard to this new classification. The ellipse carries a strong mathematical interest. The elementary theorems governing ellipses that obey the condition th...
Article
Full-text available
The paper is an updated version of the December 2, 2017 paper under an identical title by this author. It incorporates in it exact measurements of the ring (received by the author on December 3, 2017). The paper strengthens and expands on the findings of the previous paper, as well as it amends and extends the prior analysis. Editorial corrections...
Article
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The Mathematics and embedded Astronomy are explored of the almost elliptical in shape Minoan 5-priestess gold signet ring of the c 1450 BC Mycenaean “Griffin Warrior” tomb at Pylos found during the 2015 archeological excavation there. It is documented that the shape of the ring is extremely close, albeit not exactly identical, to the true ellipse o...
Article
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The paper extensively expands on and revises a prior paper by this author on the subject of the Kasta Tumulus form and design. It advances the propositions that, first, the ground elliptical shape of the Tumulus in combination with the tomb's modulus records the Earth's elliptical orbit around the Sun; second, that the 3-d shape of the Tumulus stan...
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The paper analyzes the macro economic, demographic and geographic attributes of a recently discovered early Hellenistic, Alexander III Era settlement by Lake Dukan in Northern Iraq. It uses the settlement's economic, architectural and city planning aggregates to infer the presence of a claimed by this author (and others) city founded by Alexander I...
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The paper is a continuation of a trilogy of papers by the author on the subject of dating Gobekli Tepe. In this paper, two additional sites and some of their monuments are analyzed: Tell Qaramel and Tell Es-Sultan. They provide, along with some more evidence on the c-14 readings and structure B from Gobekli Tepe and with a more detailed examination...
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A novel view of the Parthenon’s structure is taken in this paper. Instead of analyzing the Parthenon’s final configuration, either in its various reconstructions or in its current condition, the study draws the Temple’s 3-d skeletal structure. Based on that sketch plan, the Parthenon’s modulus and its grid pattern are derived. In closely examining...
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The paper is a study into the Advanced Geometry of Egypt's 18th Dynasty iconic statue created by Thutmose. A number of new findings are reported on the Architecture of the bust, including the length of its modulus, the palm (the shesep - 7.5 centimeters). The inverted truncated cone-like structure of Nefertiti's bust is examined in detail, and its...
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The paper analyzes the design principles involved in the construction of the 13th century BC Lions Gate at Mycenae. It is shown that this design involves Basic Geometry, namely three circles, an isosceles (quite possibly meant to be equilateral) triangle, and a trapezoid containing a square. Moreover, the paper shows that a modulus of the monument...
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The paper explores the use of shadows in the very design of Classical Greek temples. It also analyzes the role of cast-off and carry-on shadows in the Temples' morphology by utilizing the author's General Dynamical Theory of Shadows. Further, the paper produces a comparative analysis of five Classical Greek Temples. It also supplies an new angle to...
Article
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This short paper’s limited objective is to provide the temporal dynamics of shadows for locations on the Earth’s latitudes close to, on and below the Tropic of Cancer in the Northern Hemisphere, as well as on the Earth’s Equator. It sets the stage for presenting the dynamics of shadows’ lengths in the Earth’s Temperate zone, within the framework...
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The paper analyzes the Stonehenge Phase 3 II Architecture, modular structure, and their connection to the sun-induced cast-off shadows from its sarsens, and the motion of the shadows over the course of a day and throughout the year. It establishes that a direct link exists between the size of certain shadows and the design of the monument. It furth...
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The paper addresses the fuzzy nature of shadows cast by Neolithic monuments. It presents a mathematical theory of fuzzy shadows, and extends a previous paper by the author of a General Dynamical Theory of Shadows. That original paper is found at the site academia.edu here: https://www.academia.edu/31671102/ON_THE_FUZZY_NATURE_OF_SHADOWS and als...
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This paper updates the content, and slightly adds editorial corrections to the previous paper by the author found here: https://www.academia.edu/20085640/The_Mathematics_and_Astronomy_in_Tutankhamuns_Mask._For_an_updated_version_see_that_of_January_19_2016
Article
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The paper presents both an introduction to the theory of shadows and their mathematics, with a concentration in the cast-off shadows from megalithic Neolithic monuments. It is addressing lengths of shadows' dynamics above the Tropic of Cancer at the Northern Hemisphere. A companion paper presents the length of shadows' dynamics at and below the Tro...
Article
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This paper is an effort to provide in simple and not technical terms the reasons why the monument currently referred to as "Gobekli Tepe" is a set of structures that were initially constructed in the latter part of the 6th millennium BC and were buried at the start of the Bronze Age, around the middle 3rd millennium BC. The paper briefly shows why...
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A conjecture is advanced in this paper, which is a sequence to the paper by the author "In the shadows of Carnac's Le Menec Stones: a Neolithic proto supercomputer". It states that on the strings of stones at Le Menec, there are primitive Pythagorean triples embedded in them, measured in modular lengths. These triples may have determined the size o...
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The paper analyzes the monument of Le Menec at Carnac, in Brittany, France. It advances a number of propositions, key among them being that the strings of stones at Le Menec are not linear parallel alignments but converging arcs. These stones and strings performed a variety of cultural functions. Arcs acted as a Theme Park for celestial objects and...
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This is review of the 1941 classical book by Oscar Broneer about the Amphipolis Lion. It critically appraises the contribution made by the author of the book in recording the thought processes involved in both the Lion's reconstruction, as well as the efforts towards producing a proposed conjectured restoration. In evaluating the book, the author d...
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This is an update of the same paper by the same author. It contains a photo of Kerbstone K51 and corrects an error from the previous two versions of the paper, which had a photo of Dowth South's Entrance instead of Dowth North's Entrance as a cover photo. I wish to thank Michael Fox for pointing that out to me.
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This is a revised update of the same article published by the author. It contains editorial corrections from the prior update
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This is the first update of the paper by the same title and author of July 10th, 2016. Here, some more information is incorporated about the mosaic, and especially his M+ and M- type meanders. This new information is instrumental in further analyzing the micro and macro mosaic design and construction imperfections and their underlying artistic and...
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The study is an attempt to formulate and trace the complex dynamics of Alexander's cities of the period 340 BC to 323 BC. Concepts in dynamical analysis from Urban and Transportation Planning as well as Economic Geography are utilized to place the evolution of the cities founded by Alexander III in their proper context. The author supplies at the e...
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The Mathematics and Astronomy of the monument referred to as "Circle 2" at Guachimontones the State of Jalisco in Mexico are elaborated in this paper. A number of the monument's impressive and innovative features are discussed and analyzed.
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With this paper a significant discovery and a possible but equally significant preliminary finding are reported. Close examination of Kasta Tumulus’ exterior morphology reveals that the mathematics and astronomy at the Great Amphipolis Tomb, as imprinted on the Tumulus exterior wall, are far more advanced and complex than previously thought. S...
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The paper presents a 15-page summary of a comprehensive theory regarding the Great Tumulus at Kasta, Amphipolis, Greece. It is based on a series of six papers and their various versions, written in the period October 2014 till January 2016 on the subject of Kasta's monument initially intended for Hephaestion, as commissioned by Alexander III and ca...
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This is the 3rd update of the paper under the same title by the author. It contains editorial changes and some more write up on the section addressing the Artemis Tavropolos coin and Bucephalus.
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This is the Final Version of the paper by the author "On Certain Key Architectural Elements of Kasta Tumulus" first published on 8/12/2015 and had four updates. A new paper is its successor, which incorporates new findings, titled: "On the Tumulus at Amphipolis".
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This is the edited version of the July 17th 2015 article by the author, titled "The Mosaic at Kasta Hill's Tomb: the Algebraic Wonders of its MAIANDROS, including an Exact Ratio Embedded in it, and its Magnificent Cycles.
Article
This is the edited version of the July 17th 2015 article by the author, titled "The Mosaic at Kasta Hill's Tomb: the Algebraic Wonders of its MAIANDROS, including an Exact Ratio Embedded in it, and its Magnificent Cycles.
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The paper presents an early work by the author, regarding the Tomb at Kasta Hill, Amphipolis, MAKEDONIA, Greece. It was based on three hypotheses: that the tomb was completed at the last quarter of the 4th Century BC, and that the architect was Deinokratis are both assumptions attributed to Katerina Peristeri, the archeologist in charge of the exca...
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In this paper an unexpected discovery is reported, regarding the modular structure of the edifice uncovered at Kasta Hill. Like all great buildings of antiquity, it is proved here by using relatively simple algebraic relationships, this temple/monument/tomb too was built with an underlying modular structure connecting it (and its occupant) to the H...
Article
A Hopf bifurcation in the population/income dynamics of metropolitan areas is presented. Such a bifurcation involves the sudden transition from a sink-spiral motion to an orbital motion of normalized population and per-capita income. -from Authors
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The purpose of this paper is first, to present some evidence indicative of a rough daily periodicity in traffic counts at a cross-section of an urban road accompanied by a considerable amount of seemingly random additional variation; and second, to attempt an accounting through Fast Fourier Transform and power spectrum density functions of this add...
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A dynamic deterministic mean value equation model of intraurban behavior is successfully tested for the first time in the field of urban geography. It provides empirical justification for a previously proposed stochastic master equation model of residential density-rent interaction. It also demonstrates that in intraurban dynamics stochastic models...
Chapter
This chapter reviews the recent developments that have occurred in the field of discrete socio-spatial dynamics (DSS Dynamics) during the decade after the publication of the book by Dendrinos and Sonis (1990). DSS Dynamics focuses on the redistribution dynamics of m different statistical populations (stocks) relatively distributed between n differe...
Article
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Relative spatial population dynamics are analyzed in this paper under Volterra-Lotka specifications. At first, the Volterra conservation conditions under absolute growth and their variational principles are reviewed, extended, and interpreted. Then, the relative dynamics are presented which demonstrate the presence of competitive exclusion. The mai...
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Stimulus and response functions, as the fundamental blocks of nonlinear interaction dynamics, are analyzed and modeled here, under a variety of interaction strategies. The backbone of the suggested model is a simple iterative dynamical formulation: the magnitude of a signal sent at present is a function of a relevant signal sent—as well as of a sig...
Chapter
At the outset, two kinds of comment are needed in order to place metropolitan development, and the public policy-making process tied to it — the subjects proper of this contribution — into their proper foundation and frame of reference, from the viewpoint chosen here to address them, i.e. non-linear dynamics. One comment deals with a basic paradox...
Article
How land development in the form of land improvements and locational amenities interact in time, at any point in space characterized as a tourist area, is the topic of this rather brief investigation. The strong, non linear, interactive dynamics between the two entities is viewed in a general ecological predator-prey formulation, under a series of...
Chapter
This chapter describes the effects of innovation on metropolitan development in terms of the mathematics of nonlinear dynamics. Its main methodological message is that the analysis of these effects can be conducted productively as an unexpected, exogenously induced, perturbation of paths. Such perturbation could lead either to phase transitions and...
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Deep in the fascinating world of numbers there still might lurk useful insights into the processes of the socio-spatial world. A rich section of the world of numbers is of course Number Theory and its pantheon of findings, a part of which is revisited here. It is suggested in this note that a smooth sequence of seemingly random periodic cycles hide...
Chapter
What social scientists, as detached observers, write about society’s dynamics carries in it an inevitable contradiction: on the one hand, it is always a product of the imagination and thus it is fiction; on the other hand, it is an effort to replicate social reality as closely as possible and code it in a transmittable manner, while minimising the...