Euclid's Muse

your source for INTERACTIVE math apps

by Nick Halsey

Twisted Savonius Wind Turbine Full Geometric Model (without traces/surfaces)

The Twisted Savonius Wind Turbine has promising applications for rooftop usage, but its high cost has kept it unfeasible for widespread adoption. The Twisted Savonius Geometric Modeling project explored the geometric properties of the turbine's shape, and proposed a more efficient method of construction and geometric design as a result. This is the complete side view "3d" model of the turbine. It models an extremely 3-dimensional shape by using ellipses to represent tilted circles. Changing X changes the rotation of the turbine (in operation). Theta represents the twist angle between the top and the bottom of the turbine. T controls the parametric location of the vertical surface - tracing it "fills in" the blade's surface. Learn more about this side view model. Visit the Geometry of the Twisted Savonius Wind Turbine website.
by Phil Todd

September Problem

The radii of the small circles add up to that of the large circle. Why?


Mechanical Expressions Beta Extended through March

Greetings everyone! We have some exciting news about our new product: Mechanical Expressions. If you haven’t heard, Mechanical Expressions lets you create models of mechanical phenomena using the same interface as Geometry Expressions. We have just extended the beta through the end of March 2014, so if you have yet to try it out, now […]

Updates to Euclid’s Muse

We are excited to announce some of the recent updates to Euclid’s Muse. The front page has been reorganized so it’s easier to find what you’re looking for (and it’s much nicer to look at). Join us on the new forums page and help build our community by posting your questions, comments and app creation […]

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