Solved games | Polyforms | Mathematical games
Derived from the Greek word for '5', and "domino", a pentomino (or 5-omino) is a polyomino of order 5, that is, a polygon in the plane made of 5 equal-sized squares connected edge-to-edge. When rotations and reflections are not considered to be distinct shapes, there are 12 different free pentominoes. When reflections are considered distinct, there are 18 one-sided pentominoes. When rotations are also considered distinct, there are 63 fixed pentominoes. Pentomino tiling puzzles and games are popular in recreational mathematics. Usually, video games such as Tetris imitations and Rampart consider mirror reflections to be distinct, and thus use the full set of 18 one-sided pentominoes. Each of the twelve pentominoes satisfies the Conway criterion; hence every pentomino is capable of tiling the plane. Each chiral pentomino can tile the plane without being reflected. (Wikipedia).
Pentomino Puzzles (1 of 2: Animal, Vegetable, Mineral)
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From playlist Mathematical Exploration
Pentomino Puzzles (2 of 2: Rectangular arrays)
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From playlist Mathematical Exploration
What's a Pentagram? Geometry Terms and Definitions
Learn the mathematical name for this famous shape. Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socr
From playlist Socratica: The Geometry Glossary Series
Inspired by http://www.youtube.com/watch?v=PQOjkuJtBfM
From playlist Projects & Installations
LANTHANIDES - a quick definition
A quick definition of the lanthanides. Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://ww
From playlist Chemistry glossary
Chemistry Essentials: What's an anion?
How quickly can we tell you the definition of an anion? Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donat
From playlist Chemistry glossary
Art is for everyone! What is ROCOCO?
A quick definition of "rococo." Art Lover: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www.paypal.m
From playlist Art glossary
Art is for everyone! What is SFUMATO?
A quick definition of "sfumato." Art Lover: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www.paypal.
From playlist Art glossary
A quick definition of the halogens. Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www.p
From playlist Chemistry glossary
Phistomefel returns today but not with a sudoku. He has constructed an incredible problem that even seems to affect Simon's computer! You can try it here: https://tinyurl.com/y22mojbw There is an example of how the puzzle works at this link: https://logic-masters.de/Raetselportal/Raetse
From playlist Phistomefel Puzzles
Feeling Stressed? Try This World-Class Puzzle!
▶ KICKSTARTER LINK◀ https://www.kickstarter.com/projects/peterchayward/cracking-the-cryptics-greatest-hits?ref=docedl Thanks to everyone who has helped with our Kickstarter Campaign to create the greatest sudoku book in history. Check out the new stretch goals and please help us get the
From playlist Aad Van De Wetering Puzzles
You can try Aad Van De Wetering's sensational puzzle here: https://cracking-the-cryptic.web.app/sudoku/DRHTDLnq7f David McNeill's online Hybrid Sudoku test is here: https://ukpuzzles.org/contests.php?contestid=56 ▶ OUR CHESS SUDOKU APP IS COMING SOON◀ https://store.steampowered.com/app/1
From playlist Aad Van De Wetering Puzzles
Margaret Kepner - The Zen of the Z-Pentomino - G4G12 April 2016
There are many puzzles involving tiling with the pentominoes. One problem is to find ways to tile the plane (with no overlaps or gaps) using copies of just one of the pentominoes. It turns out that 10 of the 12 pentominoes can tile the plane in an infinite number of ways. However, one, the
From playlist G4G12 Videos
You can try Aad Van De Wetering's latest stunning puzzle here: https://cracking-the-cryptic.web.app/sudoku/qTGQdQ76hL ▶TRY OUR CLASSIC SUDOKU APP◀ AppStore: https://apps.apple.com/us/app/classic-sudoku/id1488838275?ls=1 Steam: https://store.steampowered.com/app/1188330/Classic_Sudoku/ Andr
From playlist Aad Van De Wetering Puzzles
Today's bonus setting video comes from the ever-popular Lucy Audrin - thank you Lucy - and features a couple of her puzzles! The main puzzle Lucy talks about is The Return Of The Pentominous Odds and there's a link to it below if you'd like to have a go at it. https://app.crackingthecr
From playlist How To Set A Sudoku
Alexandre Muniz - Which Pentomino Is the Least Convex? - G4G14 Apr 2022
We'll survey some convexity measures, and see why there's more than one answer.
From playlist G4G14 Videos
Sudoku Genius turrns his hand to Pencil Puzzles!
Try Aad van de Wetering's 'Puzzly' Pentominous puzzle here: https://cracking-the-cryptic.web.app/sudoku/4bn87PGj77 Fill the (white) grid with pentominoes. Marked cells must contain pentominoes of that letter's shape (see diagram below the grid). Two pentominoes with the same letter cannot
From playlist Aad Van De Wetering Puzzles
Alexandre Muniz - Colorings of Pentomino Tilings - G4G12 April 2016
Pentomino tiling problems can be made more interesting by seeking map colorings with special properties. Three such properties of colorings are 3-colorability, strict colorability, and color balance. Two particular pentomino tilings of the 6 by 10 rectangle with uniquely fortunate and unfo
From playlist G4G12 Videos
A Sudoku With Only One Given Digit (and it's a 4!)
*** TODAY'S PUZZLE *** The return of Aad van de Wetering today with another quite extraordinary sudoku - this one has only a single given digit and a scattering of pentominoes! Play the puzzle at the link below: https://app.crackingthecryptic.com/sudoku/BmMjB4Dt62 Rules: Normal sudok
From playlist Aad Van De Wetering Puzzles
Polyomino Permutations (Ultimate Classroom lesson)
Here's an excerpt of the third lesson I gave to the teams during Episode 4 of Ultimate Classroom! Find out more about the show here: https://10play.com.au/ultimate-classroom More resources available at www.misterwootube.com
From playlist Ultimate Classroom