Mathematical games

Cayley's mousetrap

Mousetrap is the name of a game introduced by the English mathematician Arthur Cayley. In the game, cards numbered through ("say thirteen" in Cayley's original article) are shuffled to place them in some random permutation and are arranged in a circle with their faces up. Then, starting with the first card, the player begins counting and moving to the next card as the count is incremented. If at any point the player's current count matches the number on the card currently being pointed to, that card is removed from the circle and the player starts all over at on the next card. If the player ever removes all of the cards from the permutation in this manner, then the player wins. If the player reaches the count and cards still remain, then the game is lost. In order for at least one card to be removed, the initial permutation of the cards must not be a derangement. However, this is not a sufficient condition for winning, because it does not take into account subsequent removals. The number of ways the cards can be arranged such that the entire game is won, for n = 1, 2, ..., are 1, 1, 2, 6, 15, 84, 330, 1812, 9978, 65503, ... (sequence in the OEIS). For example with four cards, the probability of winning is 0.25, but this reduces as the number of cards reduces, and with thirteen cards it is about 0.0046. (Wikipedia).

Video thumbnail

How explained Slinky down stairs!!!

In this video i show and explained slinky move down stairs!

From playlist MECHANICS

Video thumbnail

My cat is weird

The internet is made for cat videos, so here is mine. Only my cat isn’t real, it is computer generated. And weird. Very weird. To be honest, I'm not even sure what sort of cat it is. Seems to be a mix of various different things... Cat keyframes generated with Artbreeder Composited in Hit

From playlist Nerdy Rodent Uploads!

Video thumbnail

Voice of the Beehive - i think i love you

Voice of the Beehive. I THINK I LOVE YOU

From playlist If only Jerm had played the forum

Video thumbnail

Petoskey Stone (Official Video)

Official Video for "Petoskey Stone" by Dana Falconberry. www.danafalconberry.com www.crossbillrecords.com

From playlist new music (to me) that i like

Video thumbnail

How to Carve a Jack-O-Lantern

HowStuffWorks carves a jack-o-lantern

From playlist Classic HowStuffWorks

Video thumbnail

Learn How Sweetheart Candies are Made - Martha Stewart

Learn the history of the Necco company's conversation heart candies; a Valentine's Day staple for many years. Brought to you by Martha Stewart: http://www.marthastewart.com Subscribe for more Martha now!: http://full.sc/PtJ6Uo ----------------------------------------------------------

From playlist It's Valentine's Day! | SciShow Kids

Video thumbnail

I clicked on a clickbait title when all I wanted to do was relax...

This video has it all. Clickbait title. Fully delivers the relaxation. Just sit back and enjoy maths happening in front of you, without you having to think about it.

From playlist Nerdy Rodent Uploads!

Video thumbnail

Waddling Duck Wooden Toy

https://grabcad.com/library/waddling-duck-wooden-toy-1 This toy can work 2 different ways: pulled by a string or using a ramp.

From playlist Wooden Toys

Video thumbnail

Using a Bunch of Mousetraps to Explain How Pandemics Work (feat. @theslowmoguys)

PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateOKAY ↓ More info and sources below ↓ More vaccine info here: https://www.cdc.gov/vaccines/vac-gen/default.htm Special thanks to @theslowmoguys ! https://www.youtube.com/user/theslo

From playlist Be Smart - LATEST EPISODES!

Video thumbnail

Check Out The Lethal Power Of The Mega Mouse Trap!

Street Science | Wednesdays 10p Full Episodes Streaming FREE: https://www.sciencechannel.com/tv-shows/street-science/ The Backyard Scientist tests his mega mouse trap. Subscribe to Science Channel: http://bit.ly/SubscribeScience Facebook: https://www.facebook.com/ScienceChannel Twitt

From playlist Street Science

Video thumbnail

This is Disgraceful! Chinese Websites and Social Media are stealing from an American Small Business.

You Can Purchase The Genuine Flip & Slide Mouse Trap Through My Affiliate Links: Rinne Official Website: https://www.rinnecorp.com/?ref=shawnwoods1 - (promotion) https://amzn.to/3yOVUQz - Affiliate Disclosure - (As an Amazon Associate I may earn commissions from qualifying purchases.) See

From playlist Corruption in the USA

Video thumbnail

360 View of Mousetrap Fission

On a computer, use your mouse or the arrows in the upper left to change the view. On a tablet or phone, you might be able to move the device around to see a new view. We did the mousetrap fission demonstration and filmed it with a 360 degree camera. Let us know what else you'd like to see

From playlist SciJoy Uploads

Video thumbnail

How We Harness the Energy of a Chain Reaction - Christmas Lectures with Eric M Rogers

Eric M Rogers demonstrates how we can harness the power of uranium-235 atoms, with help from a giant mousetrap. Watch the full fifth lecture of the series: https://www.rigb.org/christmas-lectures/watch/1979/atoms-for-enquiring-minds/atoms-and-energy?utm_source=youtube&utm_medium=social&utm

From playlist Highlights from the Christmas Lectures Archive

Video thumbnail

Mark and Digger Make Incredible Apple Cranberry Brandy | Moonshiners

Stream Moonshiners on discovery+ ► https://www.discoveryplus.com/show/moonshiners #Moonshiners #Moonshine #DiscoveryChannel Subscribe to Discovery: http://bit.ly/SubscribeDiscovery Follow Us on TikTok: https://www.tiktok.com/@Discovery We're on Instagram! https://instagram.com/Discove

From playlist Moonshiners

Video thumbnail

New High Speed Camera, Road Trip & a Mousetrap Challenge | Smarter Every Day 56

One of my favorite videos from Periodic Videos!: http://bit.ly/LTQFnr Check out the Periodic Videos Channel! http://bit.ly/PeriodicVids Here are the specs on the new Phantom Miro! http://bit.ly/NewPhantomMiro Check out the All-Star Cast of this video: Check out Alan Sailer's Flickr PhotoS

From playlist Smarter Every Day in Order

Video thumbnail

How to Make Exploding Airgun Targets

This video demonstrates an easy and inexpensive way to make reusable exploding targets for airsoft and bb guns. They are very versatile and may even be used with slower moving projectiles such as nerf darts, though the mouse trap may damage them. The pulling trick fireworks used are safe a

From playlist Combustibles

Video thumbnail

Penicillin - Periodic Table of Videos

Why is penicillin a bit like a mousetrap? More links in description below ↓↓↓ Support Periodic Videos on Patreon: https://www.patreon.com/periodicvideos A video on every element: http://bit.ly/118elements More at http://www.periodicvideos.com/ Follow us on Facebook at http://www.facebo

From playlist Molecular Videos - Periodic Videos

Video thumbnail

Mousetrap Fission Setup

Woflgang and Allen quickly and efficiently prepare the Mousetrap Fission demo for Robert Kirshner's The Energetic Universe course on February 26, 2015. The demo consists of 110 mousetraps armed with ping-pong balls; the demonstrator drops a single ball from above to initiate an event simil

From playlist Quantum Physics and Relativity

Video thumbnail

Nintendo Amusement Park

Video commerical of the Nintendo Amusement Park

From playlist Classic HowStuffWorks

Video thumbnail

Practice 5 - Using Mathematics and Computational Thinking

Science and Engineering Practice 5: Using Mathematics and Computational Thinking Paul Andersen explains how mathematics and computational thinking can be used by scientists to represent variables and by engineers to improve design. He starts by explaining how mathematics is at the root

From playlist Next Generation Science Standards

Related pages

Permutation | Derangement | Arthur Cayley | European Journal of Combinatorics