Problem 411: Triangle, Median, Angles

Proposed Problem
Click the figure below to see the complete problem 411 about Triangle, Median, Angles.


See also:
Complete Problem 411
Level: High School, SAT Prep, College geometry

Mining Matters in your Everyday Life by the Colorado Mining Association

Informative and educational video on how mining matters to each and every one of us in our every day life, not just in Colorado but around the world..

Click the figure below to see the video.


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Mining Matters in your Everyday Life by CMA

Orchestrating a Mine: Caterpillar MineStar

MineStar is an integrated mining information system that helps lower costs, improve efficiency, and increase productivity in all types of mining applications.

Click the figure below to see the video.


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Mining Information System: Caterpillar MineStar

Lavender Pit, former open-pit copper mine

The Lavender Pit is a former open pit copper mine near Bisbee in Cochise County, Arizona, United States. It is located near the famous Copper Queen Mine.

Click the figure below to see the video and interactive satellite map.


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Lavender Pit, Bisbee

Toquepala - Villa Staff and Plaza

Toquepala is a porphyry copper deposit in the southern sierra, inland from the port of llo. It is worked as an open pit.

Click the figure below to see the video and satellite map.


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Toquepala - Villa Staff and Plaza

Berkeley Pit: Environmental geology of Butte, Montana - Video and Satellite Map

A report on the environmental geology of Butte, Montana with a focus on Berkeley Pit.

Click the figure below to see the video and interactive satellite map.


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Berkeley Pit: Environmental geology of Butte, Montana

Puzzle based on the Kosnita's Theorem: Circumcenters, Concurrent lines

Interactive Puzzle
Click the figure to solve the interactive puzzle about the Kosnita's Theorem: Circumcenters, Concurrent lines



See also:
Puzzle: Kosnita's Theorem

The Geometry of Life, Part 1,2,3,4

Video
Part 1: Brief introduction to, and history of, sacred geometry.

Click the figure below to see the video.


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Part 1: Brief introduction to, and history of, sacred geometry
Part 2: The square root of three in geometric form
Part 3: The square root of three in molecular structure
Part 4: Close Packing and Conclusions

How did mathematics begin?

Video
Animated movie on the development of numbers.

Click the figure below to see the video.


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History of Mathematics: the Development of Numbers

Puzzle: Composition II in Red, Blue, and Yellow by Piet Mondrian

Interactive Puzzle
Click the figure to solve the interactive puzzle about Composition II in Red, Blue, and Yellow by Piet Mondrian and golden rectangles.



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Puzzle: Composition II in Red, Blue, and Yellow by Piet Mondrian

No. 5, 1948, Jackson Pollock and Golden Rectangles

Interactive Puzzle
Click the figure to solve the interactive puzzle about the Golden Rectangle and No. 5, 1948, Jackson Pollock.



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Puzzle: The Golden Rectangle and No. 5, 1948, Jackson Pollock

Puzzle: Euclid's Elements Book I, 23 Definitions

Interactive Puzzle
Click the figure to solve the interactive puzzle about Euclid's Elements Book I, 23 Definitions.



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Puzzle: Euclid's Elements Book I, 23 Definitions

Puzzle: Inca Skull Surgery

Interactive Puzzle
Click the figure to solve the interactive puzzle about the Inca Skull Surgery.



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Puzzle: Inca Skull Surgery

Puzzle: Taj Mahal & Geometry Shapes

Interactive Puzzle
Click the figure to solve the interactive puzzle about the Taj Mahal & Geometry Shapes.



See also:
Puzzle: Taj Mahal & Geometry Shapes.

Puzzle: If - Rudyard Kipling' Poem

Interactive Puzzle
Click the figure to solve the interactive puzzle about If - Rudyard Kipling' Poem.



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Puzzle: If - Rudyard Kipling

Problem 410: Two Regular Pentagons, Angle

Proposed Problem
Click the figure below to see the complete problem 410 about Two Regular Pentagons, Angle.


See also:
Complete Problem 410
Level: High School, SAT Prep, College geometry

Toquepala Mine - Table of Content

Toquepala is a porphyry copper deposit in the southern sierra, inland from the port of llo. It is worked as an open pit.

Click the figure below to see the index.


See more:
Toquepala Index

Toquepala City, Memories 2009 - Video and Satellite Map

Toquepala is a porphyry copper deposit in the southern sierra, inland from the port of llo. It is worked as an open pit.

Click the figure below to see the video and satellite map.


See more:
Toquepala City, Memories 2009

Problem 409: Quadrilateral, Diagonals, Perpendicular, Congruence

Proposed Problem
Click the figure below to see the complete problem 409 about Quadrilateral, Diagonals, Perpendicular, Congruence.


See also:
Complete Problem 409
Level: High School, SAT Prep, College geometry

Hull Rust Mine, Hibbing Taconite - Video and Satellite Map

The largest open pit iron mine in the world.

Click the figure below to see the video and interactive satellite map.


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Hull Rust Mine, Hibbing Taconite

Hull-Rust-Mahoning Open Pit Iron Mine

The largest open pit iron mine in the world.

Click the figure below to see the video and interactive satellite map.


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Hull-Rust-Mahoning Open Pit Iron Mine

Tagebau Garzweiler coal mine, Open Pit Mining Operation

The Tagebau Garzweiler is a large coal mine using strip mining in Northrhine-Westphalia, Germany. The bucket-wheel excavators used there are the largest vehicles in the world.

Click the figure below to see the video and interactive satellite map.


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Tagebau Garzweiler coal mine

Problem 408: Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence

Proposed Problem
Click the figure below to see the complete problem 408 about Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence.


See also:
Complete Problem 408
Level: High School, SAT Prep, College geometry

Problem 407. Circle, Angle, Tangent, Perpendicular, Secant, Radius, Center

Proposed Problem
Click the figure below to see the complete problem 407 about Circle, Angle, Tangent, Perpendicular, Secant, Radius, Center.


See also:
Complete Problem 407
Level: High School, SAT Prep, College geometry

Puno interactive map and Puno Querido by William Luna

Video
Puno is a city in southeastern Peru, located on the shore of Lake Titicaca. It is known as the folkloric capital of Peru due to its wealth of artistic and cultural expressions, particularly dance.
Click the figure below to view the video.


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Puno interactive map and video

Problem 406. Right triangle, 15 degrees, Midpoints, Congruence

Proposed Problem
Click the figure below to see the complete problem 406 about Right triangle, 15 degrees, Midpoints, Congruence.


See also:
Complete Problem 406
Level: High School, SAT Prep, College geometry

Saturn and Geometry

Index
Click the figure below to view the Index.


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Saturn and Geometry Index

How would the Earth look like if it had a ring system like Saturn?

Video
3ds Max animation.
Click the figure below to view the video.


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How would the Earth look like if it had a ring system like Saturn?

Problem 405. Quadrilateral, 60, 75, and 135 degrees, Midpoint

Proposed Problem
Click the figure below to see the complete problem 405 about Quadrilateral, 60, 75, and 135 degrees, Midpoint.


See also:
Complete Problem 405
Level: High School, SAT Prep, College geometry

Haul trucks: Extreme Machines - Mega Trucks, Komatsu 930E

They are used strictly off-road for mining and heavy dirt hauling jobs.

The Komatsu 930E is an Ultra Class off-highway hauler built by Komatsu. It is notable for being one of the largest models of trucks ever manufactured.
Click the figure below to see the video.


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Haul trucks: Extreme Machines - Mega Trucks, Komatsu 930E

Toquepala, Open Pit Mining Operation, Komatsu 930E

Toquepala is a porphyry copper deposit in the southern sierra, inland from the port of llo. It is worked as an open pit.

The Komatsu 930E is an Ultra Class off-highway hauler built by Komatsu. It is notable for being one of the largest models of trucks ever manufactured.
Click the figure below to see the video.


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Toquepala, Open Pit Mining Operation, Komatsu 930E

Adding technology to geometry class improves opportunities to learn

A new study co-written by a University of Illinois expert in math education suggests that incorporating technology in high school-level geometry classes not only makes the teaching of concepts such as congruency easier, it also empowers students to discover other geometric relationships they wouldn’t ordinarily uncover when more traditional methods of instruction were used.


Click the figure below to view the study.


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Technology in geometry class

Jenn 3D Software, Mind Map

Jenn 3D is a free software license program (C++/OpenGL) for visualizing regular polytopes in stereographic projection.

Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the Interactive Mind Map.


See also:
Jenn 3D Software, Mind Map, Interactive Mind Map

Concurrent Lines, Theorems and Problems

Index
Click the figure below to see the Concurrent Lines, Theorems and Problems Index


See more:
Concurrent Lines, Theorems and Problems
Level: High School, SAT Prep, College geometry

Problem 404. External Equilateral triangles, Congruent and Concurrent Lines

Proposed Problem
Click the figure below to see the complete problem 404 about External Equilateral triangles, Congruent and Concurrent Lines.


See also:
Complete Problem 404
Level: High School, SAT Prep, College geometry

Median of a Trapezoid, Theorems and Problems

Index
Click the figure below to see the index.


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Median of a Trapezoid, Theorems and Problems

Leonardo da Vinci Polyhedra and Jenn 3D tool

Index
Leonardo da Vinci (1452-1519) was a great lover of geometry. His most outstanding polyhedral accomplishment is the illustrations for Luca Pacioli's 1509 book The Divine Proportion.

Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

Click the figure below to see the index.


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Da Vinci dodecahedron and Jenn 3D tool

Da Vinci dodecahedron and Jenn 3D tool for visualizing Coxeter polytopes

Leonardo da Vinci (1452-1519) was a great lover of geometry. His most outstanding polyhedral accomplishment is the illustrations for Luca Pacioli's 1509 book The Divine Proportion.

Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

Click the figure below to see the illustration.


See more:
Da Vinci dodecahedron and Jenn 3D tool

Da Vinci icosahedron and Jenn 3D tool for visualizing Coxeter polytopes

Leonardo da Vinci (1452-1519) was a great lover of geometry. His most outstanding polyhedral accomplishment is the illustrations for Luca Pacioli's 1509 book The Divine Proportion.

Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

Click the figure below to see the illustration.


See more:
Da Vinci icosahedron and Jenn 3D tool

Da Vinci octahedron and Jenn 3D tool for visualizing Coxeter polytopes

Leonardo da Vinci (1452-1519) was a great lover of geometry. His most outstanding polyhedral accomplishment is the illustrations for Luca Pacioli's 1509 book The Divine Proportion.

Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

Click the figure below to see the illustration.


See more:
Da Vinci octahedron and Jenn 3D tool

Da Vinci Cube and Jenn 3D tool for visualizing Coxeter polytopes

Leonardo da Vinci (1452-1519) was a great lover of geometry. His most outstanding polyhedral accomplishment is the illustrations for Luca Pacioli's 1509 book The Divine Proportion.

Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

Click the figure below to see the illustration.


See more:
Da Vinci cube and Jenn 3D tool

Da Vinci tetrahedron and Jenn 3D tool for visualizing Coxeter polytopes

Leonardo da Vinci (1452-1519) was a great lover of geometry. His most outstanding polyhedral accomplishment is the illustrations for Luca Pacioli's 1509 book The Divine Proportion.

Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

Click the figure below to see the illustration.


See more:
Da Vinci tetrahedron and Jenn 3D tool

Circular Sector Theorems and Problems

Click the figure below to see the Circular Sector Theorems and Problems - Index.


See also:
Circular Sector Theorems and Problems
Level: High School, SAT Prep, College geometry

Problem 403. Circular sector, 90 degrees, Circle, Semicircle, Area

Proposed Problem
Click the figure below to see the complete problem 403 about Circular sector, 90 degrees, Circle, Semicircle, Area.


See also:
Complete Problem 403
Level: High School, SAT Prep, College geometry

Kaleidoscope based on Several Circles (1926) by Wassily Kandinsky

Kaleidoscope
Several Circles. 1926. Oil on canvas. 140 x 140 cm. The Solomon R. Guggebheim Museum, New York, NY, USA.
Click the figure below to see the interactive illustration.


Continue reading at:
Several Circles (1926) by Wassily Kandinsky

Inca exhibition in Seoul, Korea

National Museum of Korea
The Inca civilization, which flourished for hundreds of years and left behind priceless archeological artifacts, will be revived in Seoul.
Period: December 11, 2009 - March 28, 2010.

Click the figure below to view: "The Great Myth and Mystery of Peruvian Civilization." and explore Korea, Seoul interactive map. Take advantage of the pan and zoom bars to go to Machu Picchu placemark.


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Inca exhibition in Seoul, Korea

Spring 2009 Reveals Saturn's Hexagon Jet Stream

Video
The hexagon was hidden in darkness during the winter of Saturn's long year, a year that is equal to about 29 Earth years. But as the planet approached its August 2009 equinox and signaled the start of northern spring, the hexagon was revealed to Cassini's cameras.
Click the figure below to view the interactive illustration.


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Spring Reveals Saturn's Hexagon Jet Stream

The Mystery Hexagon on SATURN

Video
North polar hexagonal cloud feature, discovered by Voyager 1 and confirmed in 2006 by Cassini.
Click the figure below to view the video.


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The Mystery Hexagon on SATURN

Math Music: A Shepard Tone

Video
A Shepard tone, named after Roger Shepard, is a sound consisting of a superposition of sine waves separated by octaves.
Click the figure below to view the video.


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Math Music: A Shepard Tone

Math Music: Spectrogram of Beethoven Sonata

Video
The strong affinity between mathematics and music is the subject of "Music: Broken Symmetry, Geometry, and Complexity", by Gary W. Don, Karyn K. Muir, Gordon B. Volk, and James S. Walker.
Click the figure below to view the video.


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Spectrogram of Beethoven Sonata