Algobox - The Brachistochrone

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The Brachistochrone

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Author: FRA32

Group: Default

Filesize: 19.85 kB

Date added: 2017-01-23

Rating: 6

Downloads: 827

Comments: 5

Ratings: 3

Times favored: 0

Made with: Algodoo v2.1.0

Tags:

An idea I got from a YT video. This also demonstrates a nice method of cutting shapes using lasers!
Enjoy!

Background info:
The Brachistochrone(lat. for "shortest time") is a special curve that has 3 essential propertys:
1st. it's the result of tracing a point on the border of a rolling circle.
2nd. If you connect 2 Points A and B using this curve in such a way that A is somewhere on the curve and B at the basin, a ball can roll from A to B in the shortest possible time(hence the name)
3rd. If you place multiple balls on a brachistochrone(in this case also called Tautochrone for "same time") they will always reach the basin at exact the same time.

Wierd huh?

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Responses to this scene:

Title	Author	Rating	Downloads	Comments	Date added
Brachistochrone printing	T_Reißig	5 (1 vote)	560	0	2023/03/26 19:30:04

previous | 1 | next

Xray

2017/01/23 21:25:56

Interesting concept! I've never heard of this before, and so I wonder what purpose it has. Can it be used as a tool for anything?

Also, could you explain step #4 in your scene. I don't understand what you mean by "test it". Test it for what?

Then in step #5 you show nothing but "????". What does that mean?

Thanks!

EDIT:
I found a good YT video (with Adam Savage from Myth Busters) that explains many different types of curves including the Brachistochrone.

Brachistochrone

Last edited at 2017/01/23 23:51:18 by Xray

FRA32

2017/01/24 05:30:50

@Xray
I cant tell you any usages for it yet, however it's property's make it an interresting object which may be used for something someday.
About step 4, what I meant is that you are supposed to test its property's using some rolling balls I.e. do they arrive at the same time, do they take the shortest time.
About step 5 and 6, that's a common internet joke where you are told a series of instructions, then one just tells you nothing, and the next one says profit as if these instructions show the clear path to sucess :lol:

. Step 5 and 6 actually are the "test" at its start and end.

PS. That was the video I got the idea from

Last edited at 2017/01/24 05:33:00 by FRA32

Xray

2017/01/24 08:08:23

Thanks for explaining all that! :tup:

Concerning the "common Internet joke", I have been surfing the net since around the mid 1990's and have never heard of such a thing. And I would bet that there are a lot of other people who have never heard of it either. But now I do! :lol:

I learned a lot today because of your scene and because of the resulting research that I did on the Brachistochrone. Thank you very much for posting it.

s_noonan

2017/01/24 10:26:30

How do you get rid of the small pieces you cut off?

P.S. OK. Got it. It looked like they were being killed immediately, but now I can see they are not.

Last edited at 2017/01/24 10:35:06 by s_noonan

FRA32

2017/01/24 13:57:59

@s_noonan
Yeah, the main shape is fixed to the background, but the small pieces are not and simply fall down into a killer. Else this scene would just lag out because of all the micro collisions.