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Polyhedra: The Five Platonic Solids
A brief site that includes some activities to understand the figures.
Blackdog Media
Classic Reader: Apology by Plato
This is the full text of Apology by Plato. The Apology or Platonic defense of Socrates is divided into three parts: 1st. The defense properly so called; 2nd. The shorter address in mitigation of the penalty; 3rd. The last words of...
University of Waterloo (Canada)
University of Waterloo: Cemc: Math Circles: 3 D Geometry Ii [Pdf]
This worksheet provides a variety of 3D geometry questions requiring higher order thinking skills. Questions include; finding the surface area of a prism, surface area of pyramid, surface area of a sphere, and platonic solids.
University of Oregon
University of Oregon: Greek Science: Early Cosmology
Discusses the evolution of ideas about the cosmos, from the Magic Cosmology of the Neolithic age to the stage of Mythical Cosmology, to the Geometric Cosmology of the ancient Greeks. The third stage advocated a rational approach to...
Other
Fu Jen University: Metaphysical Poetry
This article by Dr. Marguerite Connor focuses on metaphysical poetry and the metaphysical poets. It includes a definition, the characteristics, a discussion of metaphycial poets and poetry, Neo-Platonism, platonic love, and T.S. Eliot's...
Wolfram Research
Wolfram Math World: Tetrahedron
This math site defines a tetrahedron, gives reference to the Platonic solid, and gives views from varying perspectives. It also provides formulas for veritices of a tetrahedron lieing along the the positive X axis, formulas for area,...
University of Georgia
University of Georgia: Inter Math: Octahedron
The octahedron is defined and illustrated. Links access related terms, everyday examples, challenging problems, and an interactive checkpoint involving octahedrons and other platonic solids.
Other
Platonic Realms: Function
Resource provides an introduction to conics. A picture of each conic, the definition, and a brief discussion about the standard form of conic equations are given, along with encouragement to master conics.
Other
Platonic Realms: Conics
This resource provides in depth information on the conic sections. Click on the underlined words for definitions and diagrams.
Other
Platonic Realms: The Mathematical Art of m.c. Escher
Math Academy Online presents a great M.C. Escher (1898-1972 CE) site for connecting the arts and mathematics. As even Escher said, "For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of...
Dartmouth College
Dartmouth College: Mqed: Geometry in Art and Architecture
Students learn about art and mathematics. Topics include the golden ratio, platonic solids, and number symbolism. The learning resource includes a description, requirements, syllabus, and bibliography.
Shodor Education Foundation
Shodor Interactivate: Lesson: Probability and Geometry
The Shodor Education Foundation provides this lesson plan to give students an opportunity to connect probabilty and geometry. Students learn how to calculate probability, use geometry to solve probabilty problems, and, as an added bonus,...
Curated OER
Web Gallery of Art: Platonic Banquet
An image of "Platonic Banquet", created by Anselm Friedrich Feuerbach in 1873 (Oil on canvas, 400 x 750 cm).
New Advent
Catholic Encyclopedia: Idealism
This scholarly encyclopedia defines idealism and describes key elements of idealistic thought. Included are Platonism, nominalism, agnosticism, and Kantian philosophy. Please note that "The Catholic Encyclopedia" is a historic reference...
Other
Petrarch: Peter Sadlon: English Court Poets and Petrarchism
This is a class talk by Matthew Griffiths to his students on the topic of English court poets and Petrachism focusing on poets Wyatt, Sidney, and Spenser and their works. Topics include themes of courtly and platonic love, the role of...
Other
Platonic Realms: The Platonic Solids
This article provides the definition of a function, with links to related material.
Curated OER
Math Academy Online: Prime the Platonic Solids
An informative site on the nature of Platonic Solids and what constitutes these figures.
Other
Platonic Realms: Conic Sections
A proof to show that the square root of two is an irrational number, followed by a shorter and even more beautiful proof.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Polyhedra Classification
This question and answer site provides a lot of basic information about polyhedra. The five regular polyhedra, "The Platonic Solids," are described.
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: More on Polyhedra
This lesson focuses on polyhedra other than the platonic solids; these include an Archimedean solid, a polyhedron made up of different kinds of regular polygons, that looks the same from every direction. There are 13 different...
Other
The Death of Socrates
Excellent site designed to lead students through the major Platonic dialogues which relate the death of Socrates. Texts are annotated with comments and hyperlinked explanations. Audio files of important passages included, as well as a...
Other
University of Massachusetts Lowell: Italian Renaissance: Neoplatonism
This site explains how the Platonic tradition was revived in Italian Renaissance humanism. It presents an analysis of Ancient Greece and Plato's thought, and then describes how his ideas were adapted to fit humanistic teaching. It also...
Massachusetts Institute of Technology
Mit: Internet Classics Archive: Critias, by Plato
Full text of Plato's dialogue, "Critias." Translation by Benjamin Jowett. Includes links to share recommended websites among users.
Massachusetts Institute of Technology
Mit: Internet Classics Archive: Symposium, by Plato
Full text of Plato's dialogue, "Symposium." Translation by Benjamin Jowett. Includes character list