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Download the 15 sprites and 43 scripts of "The Isochrone Crash" and open it in Scratch Project Notes
A remix of dapontes' project.
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An isochrone is a line on a map/diagram connecting points from which it takes the same time to travel to a certain (different) point.
In other words, a set of points with the property that a given process will take the same time to complete starting from any point in the isochrone. A curved that is formed by a set of points with this property is called an isochronous curve.
A mathematician named Christiaan Huygens solved the isochrone problem without calculus, but instead used only Euclidean Geometry!
He said:
"When a cycloid is put downward, the time when the particle goes and slides and meets the bottom does not depend on the initial position of P from the position P in place of the uniform gravity. But it ignores friction"
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Please do not consider this as a remix because I redid the scripting for one of the cars in my own manner and with my own scripts. I even added a lot of features.
This is a learning process for me.
Thank you, dapontes.
Also, extra information can be found on the following link given kindly by mathjp:
http://www.mathcurve.com/courbes2d/synchrone/synchrone.shtml
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Thanks for adding this to my galleries! Great remix!
Thank you so much.
Pretty much clear explanation, indeed. There is a glitch in the stage, because you have contradictory scripts. When the background is one it is also different of five; and the sprite “next” receives a broadcasting that should be to the sprite “prev”.
Hmmm...I am not sure why you are seeing that. It is working perfectly on my computer. Thank you for telling me. However, I do not notice that problem. Regards, Ahaan.
Very nice remix Ahaan.
Thanks.
Very good.I like also the notes on the project.En français une bonne référence est:http://www.mathcurve.com/courbes2d/synchrone/synchrone.shtml
Thank you so much. I added the link to the bottom of the project notes.
Very nice remix. I like the title and the presentation!
Thank you.
Is that true? It a gravitational field, with free falling cars, they would all meet at the bottom point at the same time? That's cool...I didn't know that!
You are very humble. Thank you very much.