• Symmetries of Icosahedron Puzzle

    Updated: 2023-08-31 18:56:14
    Wolfram Demonstrations Project 12,000+ Open Interactive Demonstrations Powered by Notebook Technology Topics Latest About Participate Authoring Area Symmetries of Icosahedron Puzzle Initializing live version Download to Desktop Copying . Copy to Clipboard Source Open in Cloud Download to Desktop Copy Resource Object Fullscreen disabled Requires a Wolfram Notebook System Interact on desktop , mobile and cloud with the free Wolfram Player or other Wolfram Language products Do not show again Download Wolfram Player In an icosahedral die , the sum of the numbers on opposite vertices is equal to 13. Symmetry is applied to the die to move some vertices into the original vertices , as shown in the table , which specifies images of the other . vertices more Choose the type of symmetry and click

  • Permutation Sorting

    Updated: 2023-08-31 18:56:14
    Wolfram Demonstrations Project 12,000+ Open Interactive Demonstrations Powered by Notebook Technology Topics Latest About Participate Authoring Area Permutation Sorting Initializing live version Download to Desktop Copying . Copy to Clipboard Source Open in Cloud Download to Desktop Copy Resource Object Fullscreen disabled Requires a Wolfram Notebook System Interact on desktop , mobile and cloud with the free Wolfram Player or other Wolfram Language products Do not show again Download Wolfram Player The array plots represent a permutation of a given number of bits . The challenge is to transform the permutation on the right into the randomized permutation on the left using two simple operations : transpose top rows and rotate list . This represents a manual version of a rudimentary

  • Kids' Cryptography with a Key from a Propositional Puzzle

    Updated: 2023-08-31 18:56:14
    Wolfram Demonstrations Project 12,000+ Open Interactive Demonstrations Powered by Notebook Technology Topics Latest About Participate Authoring Area Kids' Cryptography with a Key from a Propositional Puzzle Initializing live version Download to Desktop Copying . Copy to Clipboard Source Open in Cloud Download to Desktop Copy Resource Object Fullscreen disabled Requires a Wolfram Notebook System Interact on desktop , mobile and cloud with the free Wolfram Player or other Wolfram Language products Do not show again Download Wolfram Player Solve a propositional puzzle with four knights and knaves to find a key to a cryptogram . Plain text is reconstructed using a symbolic language based on the Boolean . ring Contributed by : Izidor Hafner August 25 Open content licensed under CC BY-NC-SA

  • Decagon-to-Square Dissection

    Updated: 2023-08-31 18:56:14
    Wolfram Demonstrations Project 12,000+ Open Interactive Demonstrations Powered by Notebook Technology Topics Latest About Participate Authoring Area Decagon-to-Square Dissection Initializing live version s t e p 1 s t e p 2 s t e p 3 s t e p 4 o p a c i t y Download to Desktop Copying . Copy to Clipboard Source Open in Cloud Download to Desktop Copy Resource Object Fullscreen Requires a Wolfram Notebook System Interact on desktop , mobile and cloud with the free Wolfram Player or other Wolfram Language products Do not show again Download Wolfram Player This Demonstration shows Theobald's decagon-to-square . dissection Contributed by : Izidor Hafner June 2012 Open content licensed under CC BY-NC-SA Details Reference 1 G . N . Frederickson , Dissections : Plane Fancy New York : Cambridge

  • Yoneda’s lemma as an identification of form and function: the case study of polynomials

    Updated: 2023-08-25 14:29:35
    As someone who had a relatively light graduate education in algebra, the import of Yoneda’s lemma in category theory has always eluded me somewhat; the statement and proof are simple enough, but definitely have the “abstract nonsense” flavor that one often ascribes to this part of mathematics, and I struggled to connect it to the […]

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