Friday, November 30, 2012

Fractal Image with Squares. iPad Apps: fractBG - iPad News

Using fractals and genetic algorithms.

Click the figure below to see the illustration.

Fractal Image with Squares. iPad Apps: fractBG - iPad News.

Problem 829: Triangle, Circumcircle, Parallel, Chord, Side, Metric Relations

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 829.

Online Geometry Problem 829: Triangle, Circumcircle, Parallel, Chord, Side, Metric Relations.

Thursday, November 29, 2012

Problem 828: Quadrilateral, Midpoint, Opposite sides, Diagonals, Concurrent lines, Triangle, Bimedian

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 828.

Online Geometry Problem 828: Quadrilateral, Midpoint, Opposite sides, Diagonals, Concurrent lines, Triangle, Bimedian.

Wednesday, November 28, 2012

Decagon, Theorems and Problems

Polygons
Click the figure below to see the index.

Decagon, Theorems and Problems.

Regular Decagon Art. iPad App: Spangled

Regular Decagon Art using iPad App: Spangled by by Applied Thaumaturgics.

Click the figure below to see the illustration.

Regular Decagon Art using iPad App: Spangled.

Tuesday, November 27, 2012

Problem 825: Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 825.

Online Geometry Problem 825: Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area.

Problem 824: Desargues' Theorem, Triangles in Perspective, Concurrent Lines, Collinear Points, Center, Axis, Perspector, Perspectrix

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 824.

Online Geometry Problem 824: Desargues' Theorem, Triangles in Perspective, Concurrent Lines, Collinear Points, Center, Axis, Perspector, Perspectrix.

Sunday, November 25, 2012

Leonardo da Vinci and Geometry

Index
Click the figure below to see the index.

 Leonardo da Vinci and Geometry.

Leonardo da Vinci: 'Mona Lisa', c. 1503-1519 and Golden Rectangles, Droste Effect


Click the figure below to see the interactive illustration.

 Leonardo da Vinci: 'Mona Lisa', c. 1503-1519 and Golden Rectangles, Droste Effect.

Leonardo da Vinci: 'The Head of a Woman' and Golden Rectangles


Click the figure below to see the interactive illustration.

 Leonardo da Vinci: 'The Head of a Woman' and Golden Rectangles, Droste Effect.

Friday, November 23, 2012

El Greco

Index
Click the figure below to see the index.

 El Greco Index.

Wednesday, November 21, 2012

Area of a Circle, Theorems and Problems

Index

Click the figure below to see the index.

Area of a Circle, Theorems and Problems.

Sunday, November 18, 2012

Problem 823: Tangent Circles, Diameter, Perpendicular, Chord, Secant, Triangle, Area, Tangency Point

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 823.

Online Geometry Problem 823: Tangent Circles, Diameter, Perpendicular, Chord, Secant, Triangle, Area, Tangency Point.

Thursday, November 15, 2012

Problem 822: Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 822.

Online Geometry Problem 822: Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area.

Wednesday, November 14, 2012

Problem 821: Adams Circle Theorem, Incenter, Incircle, Gergonne Point, Contact triangle, Parallel, Six Concyclic points, Concentric Circles

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 821.

Online Geometry  Problem 821: Adams Circle Theorem, Incenter, Incircle, Gergonne Point, Contact triangle, Parallel, Six Concyclic points, Concentric Circles.

Wednesday, November 7, 2012

Geometry Problems 811-820

Ten Geometry Problems
Click the figure below to view the ten problems.

Geometry Problems 811-820.


Level: High School, College geometry

Geometric Art 811-820

Drawing
Level: Mathematics Education, K-12, High School, College.

Click the figure below to see the problem art.

Online Geometry Art 811-820.

Monday, November 5, 2012

Problem 820: Triangle, Cevian, Angles, 30 Degrees

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 820.

Online Geometry Problem 820: Triangle, Cevian, Angles, 30 Degrees