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Pentagons - Table of Content

 

Pentagon Index

 

Euclid's Elements 23 definitions

Euclid's Elements Book I, 23 Definitions. One-page visual illustration.
Euclid's Elements Book. Index

 

Pentagon Word Cloud

Word Cloud of Pentagon.
Visual Summary.

 

Euclid's Elements Book XIII, Proposition 10

Euclid's Elements, Book XIII, Proposition 10 Pentagon, Hexagon, and Decagon. One page visual illustration.

 

Archimedes Book of Lemmas Proposition 15

Proposition 15. Circle and regular pentagon.

 

Miquel's Pentagram Theorem

Miquel's Pentagram Theorem Interactive proof with animation and key theorems.
 

 

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.

 

Pentagon and Lissajous Art  

 

Inscribed and Circumscribed regular Pentagon, Areas

Proposed Problem 430.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Areas.

 

Regular pentagon

Proposed Problem 429.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Measurement.

 

Regular pentagons, Angle

Proposed Problem 410.
Two Regular Pentagons, Angle.

 

Pentagon, Circle, Tangent,Semiperimeter

Proposed Problem 342.
Pentagon, Inscribed circle, Tangent, Semiperimeter.

 

Regular pentagon inscribed

Proposed Problem 261.
Regular Pentagon inscribed in a circle, sum of distances.

 

Solid Tessellations

Video: Visualization of Solid Tessellations.

 

Teamgeist world cup official ball and Geometry
Telstar = 12 black pentagons in 20 white hexagon 

 

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.

 

Geometry Problem: Parallelogram, Triangles, Pentagon, Area

Proposed Problem 169. Parallelogram, Interior and Exterior Points, Diagonals, Pentagon, Triangles, Areas.  

 

Geometry Problem: Parallelogram, Triangles, Pentagon, Area

Proposed Problem 168. Parallelogram, Diagonal, Triangles, Pentagon, Areas.  

 

Viviani theorem extension, regular polygon

Proposed Problem 225. Viviani's Theorem Extension, Regular Polygon, Apothem, Distance.  

 

Geometry Jokes 

Geometry Jokes. Matching exercise: Pentagon, Plane, Postulate, Prism, ...

 

Geometry for Children: Shapes (Polygons) Sesame Street.

 

Teaching children geometry 3, elearning.

Teaching Geometry and Donald in Mathmagic Land 3/3.

 

Teaching children geometry 2, elearning.

Teaching Geometry and Donald in Mathmagic Land 2/3

 

Teaching children geometry 1, elearning.

Teaching Geometry and Donald in Mathmagic Land 1/3

 

Polygon Song

Geometry for Children: Polygon Song

 

Interactive Mind Map of the Van Hiele Model of Geometric Thought
Level 0. (Basic Level) Visualization.

 

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

 

Geometry terms

Geometry Online Glossary .
Geometry Glossary based on the new New York State mathematics standards initiative.

 

Pentagons & Pentagrams. I found, exploring with dynamic geometry software, new facts about pentagons and pentagrams. Key concept: Menelaus Theorem.

 

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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