Thursday, April 30, 2009

Octagons Index

Theorems and Problems about the Octagon

 Octagon Index.

Read more: Octagon Index, Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Wednesday, April 29, 2009

Swine Flu Mind Map

Interactive Mind Map
Swine influenza (also swine flu) refers to influenza caused by any strain of the influenza virus endemic in pigs (swine). Strains endemic in swine are called swine influenza virus (SIV).

Click the figure below to see the interactive mind map.

 Swine Flu Interactive Mind Map.

Read more:
Swine Flu Interactive Mind Map

Tuesday, April 28, 2009

Swine Flu H1N1

Index
Swine influenza (also swine flu) refers to influenza caused by any strain of the influenza virus endemic in pigs (swine). Strains endemic in swine are called swine influenza virus (SIV).

 Swine Flu H1N1 Index.

Read more:
Swine Flu H1N1 Index
Swine Flu Interactive Google Maps
Symptoms of Swine Flu, video.

Monday, April 27, 2009

Problem 286: Square, Midpoints, Octagon

Proposed Problem

 Problem 286: Square, Midpoints, Octagon.

See also: Complete Problem 286, Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

USGA US Golf Association Mind Map

Interactive Mind Map
The United States Golf Association (USGA) is the United States' national association of golf courses, clubs and facilities and the governing body of golf for the U.S. and Mexico. Together with The R&A, the USGA produces and interprets the Rules of Golf.

Click the figure below to see the interactive mind map.


 USGA US Golf Association Mind Map.
Continue reading at:
USGA US Golf Association Mindmap

Sunday, April 26, 2009

PGA of America (Professional Golfers Association)

Interactive Mind Map
The Professional Golfers Association of America (PGA of America) is headquartered in Palm Beach Gardens, Florida, and is the largest working sports organization in the world, with more than 28,000 members.

Click the figure below to see the interactive mind map.


 PGA of America (Professional Golfers Association) Mind Map.
Continue reading at:
PGA of America Mind map

PGA Tour Mind Map, Professional Golf

Interactive Mind Map
The PGA Tour is an organization that operates the main professional golf tours in the United States.
Click the figure below to see the interactive mind map.


PGA Tour Mind Map, Interactive Mind Map.
Continue reading at:
PGA TOUR Mind map

Saturday, April 25, 2009

Friday, April 24, 2009

Incenter, Incircle, Theorems, Problems, Index

Theorems and Problems about the Incenter of a triangle

 Incenter, Incircle, Theorems, Problemsl Index.

Read more: Incenter of a triangle, Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Thursday, April 23, 2009

Wednesday, April 22, 2009

Mandelbrot Set, music by Jonathan Coulton

Video
A music video for Jonathan Coulton's song Mandelbrot Set by Pisut Wisessing made in Film 324: Cornell Summer Animation Workshop, taught by animator Lynn Tomlinson every summer for Cornell's summer session, in the department of Theatre, Film & Dance.

Click the figure below to see the video.


Mandelbrot Set, music by Jonathan Coulton.
See also:

Mandelbrot Set
, Fractal Index

Geometry of Circles Musical Animation

Video
"Geometry of Circles" is a series of animation pieces created for Sesame Street in 1979 with music by Philip Glass. The pieces consist of the movement of six circles using some concepts of transformational geometry.

Click the figure below to see the video.


Geometry of Circles Musical Animation.
See also:

Geometry of Circles Musical Animation
, Video Index

Moebius Transformation Revealed

Video
Translation, dilation, rotation, and inversion to a higher dimension.

Click the figure below to see the video.


Moebius Transformation Revealed, Video.
See also:

Moebius Transformation Revealed
, Video Index

Monday, April 20, 2009

Pablo Picasso: Dora Maar au Chat (Dora Maar with Cat)

Golden Rectangle
Dora Maar au Chat (Dora Maar with Cat) is a 1941 painting by Pablo Picasso. It depicts Dora Maar, the painter's Croatian mistress, seated on a chair with a small cat perched on her shoulders. This painting is world-famous and is now one of the world's most expensive paintings.

Dora Maar au Chat came up for sale in an auction of Impressionist/Modern works held at Sotheby's on May 3, 2006 in New York and making it the second-highest price ever paid for a painting at auction. An anonymous Russian bidder present at the New York auction won the work with a final bid of US$95,216,000

Click the figure below to see the video.


Pablo Picasso: Dora Maar au Chat (Dora Maar with Cat), Video.
See also:

Pablo Picasso: Dora Maar au Chat Video
, Golden Rectangle Index

Sunday, April 19, 2009

The Road Not Taken by Robert Frost

Video
"The Road Not Taken" is a poem by Robert Frost (1874 – 1963) , published in 1916 in his collection Mountain Interval.

Click the figure below to see the video.


The Road Not Taken by Robert Frost, Video.
See also:

The Road Not Taken Video
, The Road Not Taken Index

Mind Map of The Road Not Taken by Robert Frost


"The Road Not Taken" is a poem by Robert Frost (1874 – 1963) , published in 1916 in his collection Mountain Interval.



The Road Not Taken by Robert Frost.
See also:

The Road Not Taken
, The Road Not Taken video

Saturday, April 18, 2009

Complete List of Go Geometry Problems

Proposed Problems

 Cyclic Quadrilateral Index.

Read more: Complete List of Go Geometry Problems, Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

The Pinwheel Galaxy (Messier M101 or NGC 5457)

Golden Rectangle
Why do many galaxies appear as spirals? A striking example is M101, whose relatively close distance of about 27 million light years allows it to be studied in some detail.

Click the figure below to see the interactive illustration of the The Pinwheel Galaxy (Messier M101 or NGC 5457).


The Pinwheel Galaxy (Messier M101 or NGC 5457).
See also:

The Pinwheel Galaxy (Messier M101 or NGC 5457)
, Golden Rectangles

Problem 282: Right Triangle, Cevian, Angles, Perpendicular, Congruence

Proposed Problem

 Problem 282: Right Triangle, Cevian, Angles, Perpendicular, Congruence.

See also: Complete Problem 282, Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Friday, April 17, 2009

Problem 281: Triangles, Angles, Isosceles, Equilateral, Congruence

Proposed Problem

 Problem 281: Triangles, Angles, Isosceles, Equilateral, Congruence.

See also: Complete Problem 281, Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Thursday, April 16, 2009

Cyclic Quadrilateral Index

Theorems and Problems about the Cyclic Quadrilateral

 Cyclic Quadrilateral Index.

Read more: Cyclic Quadrilateral, Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Angle Bisector Index

Theorems and Problems about the Angle Bisector

 Problem 31: Right Triangle, Incenter, Collinear.

Read more: Angle Bisector, Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Problem 31: Right Triangle, Incenter, Collinear

Proposed Problem

 Problem 31: Right Triangle, Incenter, Collinear.

See also: Complete Problem 31, Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Problem 30. Right Triangle, Incenter, Inradius

Proposed Problem

 Problem 30. Right Triangle, Incenter, Inradius.

See also: Complete Problem 30, Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Salvador Dali Documentary: Genius or Madman?

Video
Salvador Dali (1904 - 1989) was a Spanish Catalan surrealist painter born in Figueres. Dali was a skilled draftsman, best known for the striking and bizarre images in his surrealist work. His painterly skills are often attributed to the influence of Renaissance masters.



 Salvador Dali Documentary: Genius or Madman?, Video.

See video at:
Salvador Dali Documentary: Genius or Madman?

Salvador Dali: Pictures and Paintings

Video
Salvador Dali (1904 - 1989) was a Spanish Catalan surrealist painter born in Figueres. Dali was a skilled draftsman, best known for the striking and bizarre images in his surrealist work. His painterly skills are often attributed to the influence of Renaissance masters.



 Salvador Dali: Pictures and Paintings, Video.

See video at:
Salvador Dali: Pictures and Paintings

Tribute to Salvador Dali

Video
Salvador Dali (1904 - 1989) was a Spanish Catalan surrealist painter born in Figueres. Dali was a skilled draftsman, best known for the striking and bizarre images in his surrealist work. His painterly skills are often attributed to the influence of Renaissance masters.



 Tribute to Salvador Dali, Video.

See video at:
Tribute to Salvador Dali

Salvador Dali on "What's My Line?"

Video
Salvador Dali (1904 - 1989) was a Spanish Catalan surrealist painter born in Figueres. Dali was a skilled draftsman, best known for the striking and bizarre images in his surrealist work. His painterly skills are often attributed to the influence of Renaissance masters.



 Salvador Dali on What's My Line?, Video.

See video at:
Salvador Dali on What's My Line?

Wednesday, April 15, 2009

Salvador Dali, Index

Golden Rectangles, Videos.
Salvador Dali (1904 - 1989) was a Spanish Catalan surrealist painter born in Figueres. Dali was a skilled draftsman, best known for the striking and bizarre images in his surrealist work. His painterly skills are often attributed to the influence of Renaissance masters.



 Salvador Dali Index.

Read more at:
Salvador Dali

Salvador Dali: Morphological Echo (1934-36)

Golden Rectangle
Morphological Echo (1934-36) was painted between 1934 and 1936 and measures 64 x 54 cm. It depicts a seemingly minimal architectural setting with several surrealist images in its finer details. In the distance is a wall housing a bell resembling the figure of a woman in bundled skirts. In the distance towards the center is a strangely eroded rock form.

Click the figure below to see the interactive illustration of the Morphological Echo (1934-36) by Salvador Dali.


Morphological Echo (1934-36) by Salvador Dali.
See also:

Morphological Echo (1934-36) by Salvador Dali
, Golden Rectangles

Salvador Dali: Crucifixion, Corpus Hypercubus (1954)

Golden Rectangle
Crucifixion (Corpus Hypercubus) was painted in 1954 by Salvador Dalí, and depicts the crucified Jesus upon the net of a hypercube.

Click the figure below to see the interactive illustration of the Crucifixion, Corpus Hypercubus (1954) by Salvador Dali.


Crucifixion, Corpus Hypercubus (1954) by Salvador Dali.
See also:

Salvador Dali: Crucifixion, Corpus Hypercubus
, Golden Rectangles

Salvador Dali: The Swallow's Tail

Golden Rectangle
The Swallow's Tail - Series on Catastrophes was the last painting of Salvador Dali, done in May 1983. It is the final work in a series based on René Thom's catastrophe theory.

Click the figure below to see the interactive illustration of The Swallow's Tail by Salvador Dali.


The Swallow's Tail - Series on Catastrophes (1983)by Salvador Dali.
See also:
The Swallow's Tail - Series on Catastrophes (1983) by Salvador Dali, Golden Rectangles

The Ghost of Vermeer by Salvador Dali

Golden Rectangle
The Ghost of Vermeer of Delft Which Can Be Used As a Table (1934) is a painting by Spanish surrealist Salvador Dali. The title refers to the Dutch painter Johannes Vermeer and the image of Vermeer viewed from his back is a reference to Vermeer's painting The Art of Painting.

Click the figure below to see the interactive illustration of The Ghost of Vermeer by Salvador Dali.


The Ghost of Vermeer by Salvador Dali.
See also:
The Ghost of Vermeer by Salvador Dali, Golden Rectangles

Tuesday, April 14, 2009

The Ascension of Christ by Salvador Dali

Golden Rectangle
Dali said that his inspiration for The Ascension of Christ came from a "cosmic dream" that he had in 1950, some eight years before the painting was completed. In the dream, which was in vivid color, he saw the nucleus of an atom, which we see in the background of the painting.

Click the figure below to see the interactive illustration of The Ascension of Christ by Salvador Dali.


The Ascension of Christ by Salvador Dali.
See also:
The Ascension of Christ by Salvador Dali, Golden Rectangles

Monday, April 13, 2009

The Abel Prize: Drawing parallels in geometry

Mikhail Gromov has been awarded the Abel Prize for his work making sense of the range of geometries that appeared in the 19th century and he is a worthy successor to the likes of Euclid, Riemann and Gauss, Bolyai and Lobachevsky.



 The Abel Prize: Drawing parallels in geometry.

Read more at:
Drawing parallels in Geometry

Problem 29. Right Triangle, Altitude, Incircle, Angle bisector, Inradius

Proposed Problem

 Problem 29. Right Triangle, Altitude, Incircle, Angle bisector, inradius.

See also: Complete Problem 29, Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Saturday, April 11, 2009

Friday, April 10, 2009

Thursday, April 9, 2009

Gromov: Russian-French mathematician receives the Abel Prize

The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2009 to the Russian-French mathematician Mikhail Leonidovich Gromov (65) for "his revolutionary contributions to geometry".



Russian-French mathematician receives the Abel Prize.

Read more at:
The Abel Prize 2009

Problem 26: Right triangle, Altitude, Incircles, Inradius

Proposed Problem

Problem 26: Right triangle, Altitude, Incircles, Inradius.

See complete Problem 26 at:
gogeometry.com/problem/p026_right_triangle_incircles_incenter.htm

Level: High School, SAT Prep, College geometry

Wednesday, April 8, 2009

Tuesday, April 7, 2009

Problem 24: Right triangle, Altitude, Incircles

Proposed Problem

Problem 24: Right triangle, Altitude, Incircles.

See complete Problem 24 at:
gogeometry.com/problem/p024_right_triangle_incircles.htm

Level: High School, SAT Prep, College geometry

Problem 23: Right triangle, Altitude, Inradius

Proposed Problem

Problem 23: Right triangle, Altitude, Inradius.

See complete Problem 23 at:
gogeometry.com/problem/p023_right_triangle_incircles.htm

Level: High School, SAT Prep, College geometry

Sunday, April 5, 2009

Angles - Index

Theorems and Problems about angles.



Angles - Index.

Read more at:
gogeometry.com/geometry/angles_theorems_problems_index.htm

Problem 22: Right triangle, Altitude, Perpendiculars, Inradii

Proposed Problem

Problem 22: Right triangle, Altitude, Perpendiculars, Inradii.

See complete Problem 22 at:
gogeometry.com/problem/p022_right_triangle_incircles.htm

Level: High School, SAT Prep, College geometry

Problem 21: Acute triangle, Orthocenter, Diameter

Proposed Problem

Problem 21: Acute triangle, Orthocenter, Diameter.

See complete Problem 21 at:
gogeometry.com/problem/p021_triangle_orthocenter_tangent.htm

Level: High School, SAT Prep, College geometry

Saturday, April 4, 2009

Problem 20: Right Triangle, Altitude, Inradii, Perpendicular

Proposed Problem

Problem 20: Right Triangle, Altitude, Inradii.

See complete Problem 280 at:
http://gogeometry.com/problem/p020_right_triangle_incircle.htm

Level: High School, SAT Prep, College geometry

Friday, April 3, 2009

Problem 280: Quadrilateral, Perpendiculars, Area of Squares

Proposed Problem

Problem 280: Quadrilateral, Perpendiculars, Area of Squares.

See complete Problem 280 at:
gogeometry.com/problem/p280_quadrilateral_perpendicular_squares_areas.htm

Level: High School, SAT Prep, College geometry

Thursday, April 2, 2009