Geometer’s Corner

 

Geometer’s Corner appears bi- annually in COMAP’s Consortium journal. Below are links and brief descriptions of previous columns.


Hands on Approach - Shows how to develop many of the properties of the regular and semi-regular polyhedra using ZomeTools a wonderful construction set.


Tetrahedral Treats - Develops many of the interesting theorems about tetrahedra


Prism Play - Studies interesting properties of prisms and anti-prisms including how to find the volume of an anti-prism.


Getting A Better Angle - Discusses how to best see a picture in an art gallery and then applies the result to sports.


Elegant Mathematics - Develops two wonderful theorems about polyhedra that were developed by Euler and Descartes


Reflection - Develops a variety of formulas for calculating reflections.


In Plane View - Shows how to get a computer to draw a cube in perspective


Curves Ahead - Shows how many computerized draw programs create curved lines.

Geometry and The Internet  A list and brief description of web sites with useful geometric content.


Mortgages and Seashells- Shows how the mathematics used to model mortgages and loans can also be used to model the pirals found in many seashells. A mathematica notebook containing the calculations and graphs used to produce the spirals in the column.


New Technology Meets Some Old Geometry Geometry Expressions is

a new geometric construction program that has lots of very useful features. Read how it can be used to solve some old but very interesting problems.


Geometry Expression Files for Links and Linkages

ExternalTangent Problem.gx

Windshield Wipers.gx

Gothic Arch Problem.gx

Ellipse Generator.gx

Chebyshev's Linkage.gx


Special Properties of Conics   Written by two Groton School Seniors about special properties of the conics derived using geometric methods. The   article was a final project for a tutorial which focused on  Geometry of Conics by A. V. Akopyan and A. A. Zaslavsky.


Cell Phone Geometry Ever wonder why there are so many cell towers around? This edition explores how cell phone reception zones are determined.