Search Results for “Real-world”
The Idea Behind Integrals
A real-life example is used to help illustrate the reasoning behind integrals.
Squeezing Twisted Savonius Wind Turbine Model
This model demonstrates that the surface of the Twisted Savonius wind turbine's blades are geometrically squeezed as the twist angle is increased and the parametric position is moved up and down the turbine. Learn more about the squeeze. Learn more about the Geometry of the Twisted Savonius Wind Turbine project. Note: the calculated radius in this particular example cannot be accurate because the model is a 2d geometric approximation of the real 3d shape. Accurate calculations are made from the top view model, which is visually more difficult to comprehend. The calculation here still varies accurately as the twist angle is changed and the position is moved up and down the turbine, but it also varies as the rotation is changed (which shouldn't happen).
The Three Primary Types of Wind Turbine, Animated as if in Operation (small)
The three primary types of wind turbine, the Savonius VAWT, the Modern HAWT, and the Darrieus VAWT, are animated as if in operation. I first created this model in Geometry Expressions two years ago and after sharing it on Wikipedia it became quite popular and has been reused in many places. I decided to create an updated version, which features a cleaner appearance overall and adds some coloring to help distinguish between the blades of the Savonius model, as well as to make the HAWT better resemble real turbines. Please note that this version is not in the public domain, unlike the original, however it can be reused per the Creative Commons Attribution No-Commercial No-Derivs license, in accordance with Euclid’s Muse policy.
The Three Primary Types of Wind Turbine, Animated as if in Operation (High-Quality - Slow-loading)
The three primary types of wind turbine, the Savonius VAWT, the Modern HAWT, and the Darrieus VAWT, are animated as if in operation. I first created this model in Geometry Expressions two years ago and after sharing it on Wikipedia it became quite popular and has been reused in many places. I decided to create an updated version, which features a cleaner appearance overall and adds some coloring to help distinguish between the blades of the Savonius model, as well as to make the HAWT better resemble real turbines. Please note that this version is not in the public domain, unlike the original, however it can be reused per the Creative Commons Attribution No-Commercial No-Derivs license, in accordance with Euclid’s Muse policy.
Decay of Barium-141
This app shows the decay of the radioactive isotope barium-141 given different different starting amounts, and shows the rate of decay after varying amounts of time.
Apparent Plane Speeds
This app demonstrates why planes appear to be traveling at different speeds when flying at different altitudes.
Polar Rose: Mathematical Flower
These flowers are constructed with polar rose functions, play with n and d to change the flower's shape. Download the .gx source to check out the polar function. A more user-oriented version that lets you change the color of the flower and download the image can be found here: http://celloexpressions.com/misc/make-flowers/.
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.
