# Geometry

In order to read the updated and more complete version of this post click here:Parashah VaEra and Bo “Every first-born in Egypt will die...” [Please read the essential constructs in the right column.
January 2013

The shape you see is the combined output of the controls below. Mouse over them to see what they do. If the page gets too slow, turn some of the parameters down.
FRACTAL Sequencing and animation MACHINE

Hyperbolic Orthogonal Dodecahedral Honeycomb

For Engineering Welcome to computerized mathematical modeling Create conceptual designs and generate explicit mathematics Copy the mathematics to Maple or Mathematica for further analysis or optimization Visualize by pasting results back into Geometry Expressions Document your analysis by exporting drawing and mathematics into your office suite Testimonials “Geometry Expressions visualizes and models situations with a few clicks, making the problem more than mere numbers and symbols. This is definitely not the traditional math work that students are accustomed to.
Geometry Expressions -- Home

George W. Hart --- Index
I am a research professor in the engineering school at Stony Brook University and a freelance mathematical sculptor/designer. I'm always looking for interesting sculpture, lecture, and workshop opportunities. Invite me!

This is a web version of a teacher's workshop presented at Bridges 2004Appeared in: Bridges for Teachers, Teachers for Bridges, 2004 Workshop Book, Mara Alagic and Reza Sarhangi eds., pp. 31-42. “Slide-Together” Geometric Paper Constructions George W.

## Slide-Together Geometric Constructions

A First Course in Linear Algebra (A Free Textbook)
Open-Source Textbooks Instead I am concentrating recommendations and examples within the undergraduate mathematics curriculum, so please visit the Open Math Curriculum page. If you are linking to this site, please use that page for a broad list, or link to linear.pugetsound.edu specifically for the Linear Algebra text. Thanks for your help publicizing open textbooks.

A harmonograph output A harmonograph is a mechanical apparatus that employs pendulums to create a geometric image. The drawings created typically are Lissajous curves, or related drawings of greater complexity. The devices, which began to appear in the mid-19th century and peaked in popularity in the 1890s, cannot be conclusively attributed to a single person, although Hugh Blackburn, a professor of mathematics at the University of Glasgow, is commonly believed to be the official inventor.[1]
Harmonograph

Welcome to the KnotPlot Site! Here you will find a collection of knots and links, viewed from a (mostly) mathematical perspective. Nearly all of the images here were created with KnotPlot, an elaborate program to visualize and manipulate mathematical knots in three and four dimensions. Download KnotPlot for Windows, MacOSX and Linux Check out the mathematical knots (M) page as well to see more knot pictures.