SUNY Ulster - JULY 2010History of Greek Mathematics:

Greece, Turkey & Italy

I would like to express my gratitude to the following individuals and groups who have contributed to the success of this course and

mathematical tour:

President Katt and the SUNY Ulster Board of TrusteesVictoria St. John-Gilligan and the St. John Family FundMarianne Collins and the SUNY Ulster FoundationDean of Academics: Dr. John GanioDirector of International Programs: Richard CattabianiAdjunct Professor of Art: Frank Boyer, SUNY UlsterProfessor of Mathematics: Dr. V. Frederick Rickey, USMA West PointAssistant Professor of Philosophy: Ah Tau Teo , SUNY UlsterAssistant Professor of History: Dr. Nichola Harris, SUNY UlsterProfessor of Classics: Dr. Carolyn Dewald, Bard CollegeProfessor of Physics: Dr. Theo J. Mertzimekis,

Institute Of Nuclear Physics, GreeceKari Mack, Judith Perry and the Macdonald DeWitt LibraryInstructional Designer: Hope WindleInstructional Design Student Aide: Scott McDonaldLily Levy-Harhay and Total Tours International

The Parthenon

Miguel Discussing the Antikythera Mechanismat the National Archeological Museum (Athens)

Prof. Theo J. MertzimekisDiscussing Ancient Astronomy

Hellenic Cosmos: Cultural CenterHistory of Greek Mathematics

Thales: Measuring the Pyramids

Euclid: I.47

Raphael’s School of Athens

Ferry to Samos

Samos

Pythagorio Village

Pythagoras of Samosc. 569 BCE – c. 475 BCE

Tunnel of Eupalinos Entrance c. 550 BCE

Tunnel of Eupalinosc. 550 BCE

Ken Descending

Inside the Tunnel

Turkey (a.k.a. Asia Minor)

Ephesus, Turkey

Library of Celsus, 135 CE

Ephesus

Kaitlyn Presenting at Ephesus

Lunchtime in Turkey

Where Does Silk Thread Come From?

Handmade Carpets

Attention to Detail!

Carpets Galore!

Arriving in Mykonos

Mykonos

Getting from A to B

“B”

View from the Hotel

A Better View from Hotel

The Mediterranean Sea

Delos

Delos: Archeological Ruins

Solving the Delian Problem

Front Row Seats!

Fred and Charlotte at the Parthenon Museum

Magna Graecia(Greater Greece)

Fontana di DianaArchimedes’ Plaza, Syracuse, Sicily

Fred and AnnaPiazza Archimede

Getting from A to B

Duomo di Siracusa(Syracuse Cathedral)

Catholic Church IncorporatingColumns of a Greek Temple

Inside the Church

Roman AmphitheaterArcheological Park, Syracuse, Sicily

Greco Teatro(Greek Theater)

Archimedes’ Technology Park

What Accomplishment was Archimedes Proudest of?

Model of City Walls & Fortifications

Castello Eurialo(Eryalus Castle)

Defensive Moat

TunnelPart of the Castle’s Fortifications

Tunnel Entrance(from Moat)

Defender’s Side of Entrance

Syracuse’s Seawall(also Defended by Archimedes)

The Death of Archimedes212 BCE – 2nd Punic War

Taormina, Sicily

Looking in the Other Direction

Mt. Etna

Lava Flow

Trails Along the Lava Fields

Adventurous Mathematicians!

You Can’t Get There From Here…

Lunchtime on the Slopes of Mt. Etna

Winepress

ROME

The Pantheon (126 CE) Rome’s Most Complete Building from Antiquity

Inside the Pantheon

The Oculus

Geometry in Architecture

Down-Time in Rome

We shall not cease from exploration, and the end of all our exploring will be to arrive where we started

and know the place for the first time. - T. S. Eliot