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Pentagons - Table of Content
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Euclid's Elements
Book I, 23 Definitions. One-page visual illustration.
Euclid's Elements Book.
Index |
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Pentagon and Lissajous Art
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Word
Cloud of Pentagon.
Visual Summary. |
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Euclid's
Elements, Book XIII, Proposition 10 Pentagon, Hexagon, and Decagon. One page
visual illustration. |
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Proposition 15.
Circle and regular pentagon. |
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Miquel's Pentagram Theorem
Interactive proof with animation and key theorems.
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Miquel's
Pentagram with Dynamic Geometry. You can alter the pentagram
dynamically in order to test and prove (or disproved) conjectures and
gain mathematical insight that is less readily available with static
drawings by hand. Requires Java Plug-in 1.3 or higher. Please
be patient while the applet loads on your computer. |
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Pentagon
and Lissajous Art
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Proposed Problem 430.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Areas. |
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Proposed Problem 429.
Circumscribed and Inscribed Regular Pentagon, Perpendicular,
Measurement. |
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Proposed Problem 410.
Two Regular Pentagons, Angle. |
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Proposed Problem 342.
Pentagon, Inscribed circle, Tangent, Semiperimeter. |
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Proposed Problem 261.
Regular Pentagon inscribed in a circle, sum of distances.
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Video: Visualization of Solid Tessellations. |
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Teamgeist world cup official ball and
Geometry
Telstar = 12 black pentagons in 20 white
hexagon |
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Experiencing Geometry Poem. Taken from "Experiencing Geometry on
Plane and Sphere," a classic textbook on Euclidean and non-Euclidean
space. Used by permission of the author David W. Henderson.
Pentagons illustration. |
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Proposed Problem 169.
Parallelogram, Interior and Exterior Points, Diagonals, Pentagon,
Triangles, Areas.
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Proposed Problem 168.
Parallelogram, Diagonal, Triangles, Pentagon, Areas.
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Proposed Problem 225. Viviani's Theorem Extension, Regular Polygon,
Apothem, Distance. |
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Geometry Jokes. Matching exercise: Pentagon, Plane, Postulate,
Prism, ...
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Geometry for Children: Shapes (Polygons) Sesame Street. |
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Teaching Geometry and Donald in Mathmagic Land 3/3. |
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Teaching Geometry and Donald in Mathmagic Land 2/3
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Teaching Geometry and Donald in Mathmagic Land 1/3
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Geometry for Children: Polygon Song |
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Interactive Mind Map of the Van Hiele Model of Geometric Thought
Level 0. (Basic Level) Visualization. |
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Index,
Platonic
Solids, Interactive animation,
Tetrahedron in the cube,
Archimedes and the Rhombicuboctahedron with animation,
In the
News,
Video: How to make platonic solids with gum drops and tooth
picks |
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Geometry Online Glossary .
Geometry Glossary based on the new New York State
mathematics standards initiative. |
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Pentagons & Pentagrams. I found, exploring with dynamic geometry
software, new facts about pentagons and pentagrams. Key concept:
Menelaus Theorem.
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Trailer of
FLATLAND: The Movie.
Adapted from Flatland: A Romance of Many Dimensions (1884)
"All Flatland's inhabitants--straight lines, triangles, squares,
pentagons, hexagons, and other figures--are trapped in their planar
geometry." |
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