Roulette -- from Wolfram MathWorld
![Roulette -- from Wolfram MathWorld](https://mathworld.wolfram.com/images/gifs/roll4gon.gif)
A roulette is a curve traced by a fixed point on a closed convex curve as that curve rolls without slipping along a second curve. The roulettes described by the foci of conics when rolled upon a line are sections of minimal surfaces (i.e., they yield minimal surfaces when revolved about the line) known as unduloids. A particularly interesting case of a roulette is a regular n-gon rolling on a "road" composed of a sequence of truncated catenaries, as illustrated above, as first
![](https://m.media-amazon.com/images/I/51MIVhAV9EL._SR600%2C315_PIWhiteStrip%2CBottomLeft%2C0%2C35_PIStarRatingTHREE%2CBottomLeft%2C360%2C-6_SR600%2C315_ZA8%2C445%2C290%2C400%2C400%2CAmazonEmberBold%2C12%2C4%2C0%2C0%2C5_SCLZZZZZZZ_FMpng_BG255%2C255%2C255.jpg)
Roulette Odds and Profits: The Mathematics of Complex Bets: Barboianu, Catalin: 9789738752078: : Books
![](https://content.wolfram.com/sites/35/2009/05/pi100digits1.gif)
Posts by Eric Weisstein—Wolfram
![](https://images.theconversation.com/files/147757/original/image-20161128-22748-1couruj.jpg?ixlib=rb-1.1.0&rect=0%2C252%2C5616%2C2723&q=45&auto=format&w=1356&h=668&fit=crop)
Can maths help you win at roulette?
![](https://m.media-amazon.com/images/I/41+6UKfKAjL._AC_UF1000,1000_QL80_.jpg)
Roulette Odds and Profits: The Mathematics of Complex Bets: Barboianu, Catalin: 9789738752078: : Books
![](http://bp0.blogger.com/_GqGEPRWOfVA/RpMy9ZKSlqI/AAAAAAAAANU/-WCyvPVl190/s400/roulette_eq.gif)
Vleeptron_Z: my car whose wheels are n-sided regular polygons rolls smoothly along a roulette of catenaries
![](https://www.combinatorialmath.ca/wp-content/uploads/2021/09/roulette-strategy-1.jpg)
Roulette Strategy - Combinatorial Mathematics Casino
![](https://thehustle.co/wp-content/uploads/2019/06/table.jpg)
The professor who beat roulette - The Hustle
![](https://img2023.cnblogs.com/blog/405426/202307/405426-20230705133217995-1572381385.png)
曲线艺术编程coding curves 第十四章其它曲线(Miscellaneous Curves) - 池中物王二狗- 博客园
Are there any 2D cellular automata that generate non-random looking patterns? If so, what are they so I can learn how to generate them? - Quora
![](https://www.wolframcloud.com/obj/resourcesystem/images/9e0/9e0fd377-18df-4f09-b408-de9a63be7fb0/5b2547265a7dd937.png)
RollingCurve Wolfram Function Repository
![](https://image3.slideserve.com/6781324/bibliography-l.jpg)
PPT - The Rose Curve PowerPoint Presentation, free download - ID:6781324