{"id":11269,"date":"2023-12-26T17:45:18","date_gmt":"2023-12-26T20:45:18","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=11269"},"modified":"2023-12-28T22:15:19","modified_gmt":"2023-12-29T01:15:19","slug":"mathematical-aspects-of-24-and-2024","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=11269","title":{"rendered":"Mathematical Aspects of 24 and 2024"},"content":{"rendered":"\n

This work brings representations of 24 and 2024 in diverse ways. These representations are of crazy-type, running numbers, single digit, single letter, Triangular, Fibonacci, palindromic-type, prime numbers, embedded, repeated digits, colored patterns, magic squares<\/strong>, patterned designs<\/strong>, etc. <\/p>\n\n\n\n

<\/p>\n\n\n\n

Below is a link of work for download:
Inder J. Taneja<\/strong>, Mathematical Aspects of 24 and 2024, Zenodo<\/strong>, December 19, 2023, pp. 1-40, https:\/\/doi.org\/10.5281\/zenodo.10406530<\/a>.

This is also appeared in the newspaper “The Guardian”.
https:\/\/www.theguardian.com\/science\/2023\/dec\/25\/can-yule-solve-it-we-need-to-talk-about-2024<\/a>
https:\/\/www.theguardian.com\/science\/2023\/dec\/25\/did-yule-solve-it-we-need-to-talk-about-2024<\/a>

Whole work can be downloaded from the above link. Total there are twenty-four<\/strong> itens aborded in this work. These itens are represented individually for 24 and\/or 2024<\/strong> in different frames.<\/p>\n\n\n\n

<\/p>\n\n\n\n

    \n
  1. Crazy Representations.<\/li>\n\n\n\n
  2. Single Digit Representations and Patterns.<\/li>\n\n\n\n
  3. Single Letter Representations and Patterns.<\/li>\n\n\n\n
  4. Running Equalities Expressions.<\/li>\n\n\n\n
  5. Embedded Palindromic Prime Patterns.<\/li>\n\n\n\n
  6. Pythagorean Triples and Patterns.<\/li>\n\n\n\n
  7. Selfie Representations.<\/li>\n\n\n\n
  8. Narcissistic Type Representations.<\/li>\n\n\n\n
  9. Power Representations.<\/li>\n\n\n\n
  10. Permutable Bases and Powers.<\/li>\n\n\n\n
  11. Selfie Fractions and Patterns.<\/li>\n\n\n\n
  12. Equivalent Fractions.<\/li>\n\n\n\n
  13. Power-Plus-Minus Equalities.<\/li>\n\n\n\n
  14. Factorial-Power Equalities.<\/li>\n\n\n\n
  15. Fixed Digits Repetitions Prime Patterns.<\/li>\n\n\n\n
  16. Amicable Numbers.<\/li>\n\n\n\n
  17. Semi-Selfie Representations.<\/li>\n\n\n\n
  18. Palindromic-Type Patterns.<\/li>\n\n\n\n
  19. Power Pattern.<\/li>\n\n\n\n
  20. Upside-Down and Mirror Looking.<\/li>\n\n\n\n
  21. Magic Squares.<\/li>\n\n\n\n
  22. 2024 in Magic Squares of Order 4.<\/li>\n\n\n\n
  23. Two-Colors Patterns.<\/li>\n\n\n\n
  24. Numbers 1 to 200 in Terms of 2024-4204.<\/li>\n<\/ol>\n\n\n\n

    <\/p>\n\n\n\n

    1. Crazy Representations<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    2. Single Digit Representations and Patterns<\/h3>\n\n\n
    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    3. Single Letter Representations and Patterns<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    4. Running Equalities Expressions<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    5. Embedded Palindromic Prime Patterns<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    6. Pythagorean Triples and Patterns<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    7. Selfie Representations<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    8. Narcissistic Type Representations<\/h3>\n\n\n
    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    9. Power Representations<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    10. Permutable Bases and Powers<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    11. Selfie Fractions and Patterns<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    12. Equivalent Fractions<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    13. Power-Plus-Minus Equalities<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    14. Factorial-Power Equalities<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    15. Fixed Digits Repetitions Prime Patterns<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    16. Amicable Numbers<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    17. Semi-Selfie Representations<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    18. Palindromic-Type Patterns<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    19. Power Pattern<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    20. Upside-Down and Mirror Looking<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    21. Magic Squares<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    22. 2024 in Magic Squares of Order 4<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    23. Two-Colors Patterns<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    24. Numbers 1 to 200 in Terms of 2024-4204<\/h3>\n\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n

    \n
    \"\"<\/figure>\n<\/div>\n\n\n

    <\/p>\n\n\n\n

    References<\/h3>\n\n\n\n

    <\/p>\n\n\n\n

      \n
    1. <\/li>\n<\/ol>\n\n\n\n
        \n
      1. Inder J. Taneja<\/strong>, 2019 In Numbers, Zenodo<\/strong>, December 31, 2019, pp. 1-27, http:\/\/doi.org\/10.5281\/zenodo.2529103<\/a>.<\/li>\n\n\n\n
      2. Inder J. Taneja<\/strong>, 2020 In Numbers: Mathematical Style, Zenodo<\/strong>, December 31, 2019, pp. 1-37,  http:\/\/doi.org\/10.5281\/zenodo.3596193<\/a>.<\/li>\n\n\n\n
      3. Inder J. Taneja<\/strong>, 21 Mathematical Highlights for 2021, Zenodo<\/strong>, December 26, 2020, pp. 1-75,  http:\/\/doi.org\/10.5281\/zenodo.4394408<\/a>.<\/li>\n\n\n\n
      4. Inder J. Taneja<\/strong>, Geometrical, Numerical, and Symmetrical Representations for the Days of 2020, Zenodo<\/strong>, October 04, 2020, pp. 1-201, http:\/\/doi.org\/10.5281\/zenodo.4065069<\/a>.
        Also see the link: Inder J. Taneja, Geometrical, Numerical, and Symmetrical Representations for the Days of 2020,         https:\/\/inderjtaneja.wordpress.com\/2020\/10\/07\/geometrical-numerical-and-symmetrical-representations-for-the-days-of-2020<\/a>.<\/li>\n\n\n\n
      5. Inder J. Taneja<\/strong>, Hardy-Ramanujan Number \u2013 1729, Zenodo<\/strong>, December 22, 2021, pp. 1-106,  https:\/\/doi.org\/10.5281\/zenodo.5799640<\/a>.<\/li>\n\n\n\n
      6. Inder J. Taneja<\/strong>, Mathematical Beauty of 2022, Zenodo<\/strong>, December 26, 2021, pp. 1-78,  https:\/\/doi.org\/10.5281\/zenodo.5805264<\/a>.<\/li>\n\n\n\n
      7. Inder J. Taneja<\/strong>, 23 and 2023 in Numbers and Patterns, Zenodo<\/strong>, December 22, 2022, pp. 1-51,  https:\/\/doi.org\/10.5281\/zenodo.7473340<\/a>.<\/li>\n\n\n\n
      8. Inder J. Taneja<\/strong>, Fractional and Decimal Type Bordered Magic Squares with Magic Sum 2020, Zenodo<\/strong>, January 20, 2020, pp.1-25. http:\/\/doi.org\/10.5281\/zenodo.3613698<\/a>.<\/li>\n\n\n\n
      9. Inder J. Taneja<\/strong>, Block-Wise and Block-Bordered Magic and Bimagic Squares with Magic Sums 21, 21^2 and 2021, Zenodo<\/strong>, December 16, 2020, pp. 1-118, http:\/\/doi.org\/10.5281\/zenodo.4380343<\/a>.<\/li>\n\n\n\n
      10. Inder J. Taneja<\/strong>, Fractional and Decimal Type Bordered Magic Squares with Magic Sum 2021, Zenodo<\/strong>, December 16, 2020, pp. 1-33, http:\/\/doi.org\/10.5281\/zenodo.4327333<\/a>.<\/li>\n\n\n\n
      11. Inder J. Taneja<\/strong>, Block-Wise and Block-Bordered Magic Squares with Magic Sum 2022, Zenodo<\/strong>, December 28, 2021, pp. 1-38, https:\/\/doi.org\/10.5281\/zenodo.5807789<\/a>.<\/li>\n\n\n\n
      12. Inder J. Taneja<\/strong>, Mathematical Representations of the Last Day of the Year 23 Written American Style: 12.31.23 (123123), Zenodo<\/strong>, December 19, 2023, pp. 1-13, https:\/\/doi.org\/10.5281\/zenodo.10405771<\/a>.<\/li>\n\n\n\n
      13. Inder J. Taneja<\/strong>, Mathematical Aspects of 24 and 2024, Zenodo<\/strong>, December 19, 2023, pp. 1-40,  https:\/\/doi.org\/10.5281\/zenodo.10406530<\/a>.<\/li>\n<\/ol>\n\n\n\n

        <\/p>\n","protected":false},"excerpt":{"rendered":"

        This work brings representations of 24 and 2024 in diverse ways. These representations are of crazy-type, running numbers, single digit, single letter, Triangular, Fibonacci, palindromic-type, prime numbers, embedded, repeated digits, colored patterns, magic squares, patterned designs, etc. Below is a link of work for download: Inder J. Taneja, Mathematical Aspects of 24 and 2024, Zenodo, December 19, […]<\/p>\n","protected":false},"author":1,"featured_media":11270,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[7],"tags":[],"class_list":["post-11269","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-curiosities"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/2024-01.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11269","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11269"}],"version-history":[{"count":7,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11269\/revisions"}],"predecessor-version":[{"id":11360,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11269\/revisions\/11360"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/11270"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11269"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11269"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11269"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}