Geometry: Hexagons, Theorems
and Problems - Table of Content
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Polygons. |
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Word
Cloud of Hexagon.
Visual Summary. |
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The Hexagon,
nature's perfect shape.
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Hexagon and Lissajous Art
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Spring Reveals Saturn's Hexagon Jet Stream, NASA's Cassini
mission.
The Persistent Hexagon. |
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Cassini Images Bizarre Hexagon on Saturn. The Persistent
Hexagon. |
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Euclid's Elements
Book I, 23 Definitions. One-page visual illustration.
Euclid's Elements Book.
Index |
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Euclid's
Elements, Book XIII, Proposition 10 Pentagon, Hexagon, and Decagon. One page
visual illustration. |
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The Mystery Hexagon on SATURN - Video. The Persistent
Hexagon. |
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Optical Prism with
Regular Hexagonal Form.
Scene created using Prism HD for iPad. |
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Proposed Problem 225. Viviani's Theorem Extension, Regular Polygon,
Apothem, Distance. |
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Snowflakes: Hexagonal Symmetry and the Golden Rectangle.
The individual ice crystals often have hexagonal symmetry. |
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Pappus Theorem. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation. |
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Pascal's Mystic Hexagram Theorem Proof |
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Brianchon's Theorem in a Circumscribed Hexagon. |
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Brianchon Corollary, Circumscribed Hexagon, Concurrency lines. |
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Marion Walter's Theorem and Related Topics:
Index
Triangle and Hexagon Areas. |
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Triangle and Squares
15.
Triangles, Squares and Hexagon. |
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Marion
Walter's Theorem: Triangle and Hexagon areas:
Using TracenPoche Dynamic Geometry Software |
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Puzzle: Marion Walter's theorem. Puzzle cut: 12 Piece ZigZag
Based on
Marion Walter's theorem |
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Geometry Problem 827: Brianchon Corollary
Circumscribed Hexagon, Tangency Points, Diagonal, Opposite Sides, Concurrent lines. |
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Geometry Problem 826: Brianchon's Theorem
Circumscribed Hexagon, Concurrent Diagonals. |
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Geometry Problem 791
Regular Hexagon, Midpoints of Side and Diagonal, Equilateral Triangle, Area. |
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Geometry Problem 599
Regular Hexagon, Square, Midpoint, Angle, Degrees. |
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Proposed Problem 402.
Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity. |
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Proposed Problem 346.
Equal circles, Tangents, Hexagon, Semiperimeter. |
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Proposed Problem 345.
Equal circles, Tangents, Concurrent lines, Hexagon, Semiperimeter. |
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Proposed Problem 343.
Hexagon, Inscribed circle, Tangent, Semiperimeter. |
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Proposed Problem 79: Triangle.
Similarity, Altitudes, Orthocenter, Incircles, Inradii. |
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Sangaku Problem
(An Old Japanese Theorem).
Inradii, Carnot's theorem. |
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Proposed Problem 61: Triangle,
Trisection of Sides |
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Proposed Problem 122. Marion
Walter's Theorem. Area of triangle and Hexagon, Trisection of Sides.
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Proposed
Problem 125. Area of Triangle,
Star, Trisection of Sides.
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Teamgeist world cup official ball and
Geometry
Telstar = 12 black pentagons in 20 white
hexagon |
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Kurschak's Tile and Theorem.
Jozsef Kurschak (Hungary, 1864-1933) An elegant and a purely geometric
way of finding the area of a regular dodecagon.
A regular dodecagon inscribed in a unit circle has area 3. |
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Geometry jokes
Crossword.
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The Lord of the Rings and
Geometric Art.
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Hexagon
and Lissajous Art
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Machu Picchu and the Flower of Life
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The Flower of Life
Index:
Christ
Redeemer,
Taj Mahal,
Machu
Picchu,
Chichen Itza
Roman
Colosseum,
Petra, Jordan
Great
Wall of China
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Geometry of Circles "Sesame Street" by Philip Glass, 1979.
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Video: Visualization of Solid Tessellations. |
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Sacred Geometry: the Vesica Piscis by
Charles Gilchrist.
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Sacred Geometry: Seven Tangent Circles by
Charles Gilchrist.
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Sacred Geometry: Introduction by
Charles Gilchrist. |
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Geometry for Children: Shapes (Polygons) Sesame Street.
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Tessellations Index. |
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Crop
Circles and Complexity
Crop
Circles and Sacred Geometry
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Geometry for Children: Polygon Song |
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Geometry: Thinking about Thinking. Pythagoras, Euclid, Euclidean geometry,
inductive reasoning, deductive reasoning.
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The Metamorphosis of the Cube Foldings and Unfolding
between Polygons and Polytopes. |
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Interactive Mind Map of the Van Hiele Model of Geometric Thought
Level 0. (Basic Level) Visualization. |
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Geometry Online Glossary .
Geometry Glossary based on the new New York State
mathematics standards initiative. |
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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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