The handsome magical elixir witch outfit is a captivating and enchanting ensemble that combines elements of mysticism and allure. This outfit is designed for witches who want to make a stylish and powerful impact while practicing their craft. With its sleek and elegant design, the handsome magical elixir witch outfit exudes confidence and sophistication. The main highlight of this outfit is the mesmerizing deep purple color, which is associated with wisdom, spirituality, and magic. This rich color instantly grabs attention and adds an element of mystique to the overall look. The outfit features a long, flowing gown crafted from luxurious velvet material.
Plug in another progression:
9409, 12769, 16129
Another approach is Lee Morgenstern s way to create 3x3 magic squares from arithmetic progressions with different distances, but have a perfect square in common. col row 2, 58 - 3360 3364 - 4 58 58 - 2 2 11, 59 - 3360 3481 - 121 59 59 - 11 11 19, 61 - 3360 3721 - 361 61 61 - 19 19 22, 62 - 3360 3844 - 484 62 62 - 22 22 41, 71 - 3360 5041 - 1681 71 71 - 41 41 46, 74 - 3360 5746 - 2116 74 74 - 46 46 58, 82 - 3360 6724 - 3364 82 82 - 58 58 74, 94 - 3360 8836 - 5475 94 94 - 74 74 97, 113 - 3360 12769 - 9409 113 113 - 97 97 113, 127 - 3360 16129 - 12769 127 127 - 113 113 134, 146 - 3360 21316 - 17956 146 146 - 134 134 163, 173 - 3360 29929 - 26569 173 173 - 163 163 206, 214 - 3360 45796 - 42436 214 214 - 206 206 277, 283 - 3360 80089 - 76729 283 283 - 277 277 418, 422 - 3360 178084 - 174724 422 422 - 418 418 839, 841 - 3360 707281 - 703921 841 841 - 839 839.
The outfit features a long, flowing gown crafted from luxurious velvet material. The gown is adorned with intricate embroidery and embellishments, depicting ancient symbols and mystical charms. These details not only enhance the visual appeal of the outfit but also convey a sense of wisdom and knowledge.
Win money with magic squares
Magic squares have been known and studied for many centuries, but there are still surprisingly many unanswered questions about them. In an effort to make progress on these unsolved problems, twelve prizes totalling €8,000 and twelve bottles of champagne have now been offered for the solutions to twelve magic square enigmas.
A magic square consists of whole numbers arranged in a square, so that all rows, all columns and the two diagonals sum to the same number. An example is the following 4×4 magic square, consisting entirely of square numbers, which the mathematician Leonhard Euler sent to Joseph-Louis Lagrange in 1770:
| 68 2 | 29 2 | 41 2 | 37 2 |
| 17 2 | 31 2 | 79 2 | 32 2 |
| 59 2 | 28 2 | 23 2 | 61 2 |
| 11 2 | 77 2 | 8 2 | 49 2 |
It's still not known whether a 3×3 magic squares consisting entirely of squares is possible.
The prize money and champagne will be divided between the people who send in first solutions to one of the six main enigmas or the six smaller enigmas listed below. Solutions should be sent to Christian Boyer. His website gives more information about every enigma, and will contain regular updates regarding received progress and prizes won.
Note that the enigmas can be mathematically rewritten as sets of Diophantine equations: for example, a 3×3 magic square is a set of eight equations (corresponding to the three rows, three columns and two diagonals) in ten unknowns (the nine entries and the magic constant to which each line sums).
Here are the six main and six small enigmas:
How big are the smallest possible magic squares of squares: 3×3 or 4×4?
In 1770 Leonhard Euler was the first to construct 4×4 magic squares of squares, as mentioned above. But nobody has yet succeeded in building a 3×3 magic square of squares or proving that it is impossible. Edouard Lucas worked on the subject in 1876. Then, in 1996, Martin Gardner offered $100 to the first person who could build one. Since this problem — despite its very simple appearance — is incredibly difficult to solve with nine distinct squared integers, here is a question which should be easier:
- Main Enigma 1 (€1000 and 1 bottle): Construct a 3×3 magic square using seven (or eight, or nine) distinct squared integers different from the only known example and its rotations, symmetries and k 2 multiples. Or prove that it is impossible.
| 373 2 | 289 2 | 565 2 |
| 360721 | 425 2 | 23 2 |
| 205 2 | 527 2 | 222121 |
How big are the smallest possible bimagic squares: 5×5 or 6×6?
A bimagic square is a magic square which stays magic after squaring its integers. The first known were constructed by the Frenchman G. Pfeffermann in 1890 (8×8) and 1891 (9×9). It has been proved that 3×3 and 4×4 bimagics are impossible. The smallest bimagics currently known are 6×6, the first one of which was built in 2006 by Jaroslaw Wroblewski, a mathematician at Wroclaw University, Poland.
| 17 | 36 | 55 | 124 | 62 | 114 |
| 58 | 40 | 129 | 50 | 111 | 20 |
| 108 | 135 | 34 | 44 | 38 | 49 |
| 87 | 98 | 92 | 102 | 1 | 28 |
| 116 | 25 | 86 | 7 | 96 | 78 |
| 22 | 74 | 12 | 81 | 100 | 119 |
- Main Enigma 2 (€1000 and 1 bottle): construct a 5×5 bimagic square using distinct positive integers, or prove that it is impossible.
How big are the smallest possible semi-magic squares of cubes: 3×3 or 4×4?
- Main Enigma 3 (€1000 and 1 bottle): Construct a 3×3 semi-magic square using positive distinct cubed integers, or prove that it is impossible.
- Small Enigma 3a (€100 and 1 bottle): Construct a 7×7 semi-magic square using positive distinct cubed integers, or prove that it is impossible.
How big are the smallest possible magic squares of cubes: 4×4, 5×5, 6×6, 7×7 or 8×8?
The first known magic square of cubes was constructed by the Frenchman Gaston Tarry in 1905, thanks to a large 128×128 trimagic square (magic up to the third power). The smallest currently known magic squares of cubes are 8×8 squares constructed in 2008 by Walter Trump, a German teacher of mathematics. We do not know any 4×4, 5×5, 6×6 or 7×7 squares. It has been proved that 3×3 magic squares of cubes are impossible.
- Main Enigma 4 (€1000 and 1 bottle): Construct a 4×4 magic square using distinct positive cubed integers, or prove that it is impossible.
- Small Enigma 4a (€500 and 1 bottle): Construct a 5×5 magic square using distinct positive cubed integers, or prove that it is impossible.
- Small Enigma 4b (€500 and 1 bottle): Construct a 6×6 magic square using distinct positive cubed integers, or prove that it is impossible.
- Small Enigma 4c (€200 and 1 bottle): Construct a 7×7 magic square using distinct positive cubed integers, or prove that it is impossible. (When such a square is constructed, if small enigma 3a of the 7×7 semi-magic is not yet solved, then the person will win both prizes — that is to say a total of €300 and 2 bottles.)
How big are the smallest integers allowing the construction of a multiplicative magic cube?
Contrary to all other enigmas which concern the magic squares, this one concerns magic cubes. An n×n×n multiplicative magic cube is a cube whose n 2 rows, n 2 columns, n 2 pillars, and 4 main diagonals have the same product P. Today the best multiplicative magic cubes known are 4×4×4 cubes in which the largest used number among their 64 integers is equal to 364. We do not know if it is possible to construct a cube with smaller numbers.
A 4×4×4 multiplicative magic cube by Christian Boyer. Max number=364. P=17,297,280.
- Main Enigma 5 (€1000 and 1 bottle): Construct a multiplicative magic cube in which the distinct positive integers are all strictly lower than 364. The size is free: 3×3×3, 4×4×4, 5×5×5. . Or prove that it is impossible.
How big are the smallest possible additive-multiplicative magic squares: 5×5, 6×6, 7×7 or 8×8?
An n×n additive-multiplicative magic square is a square in which the n rows, n columns and two diagonals have the same sum S, and also the same product P. The smallest known are 8×8 squares, the first one of which was constructed in 1955 by Walter Horner, an American teacher of mathematics. We do not know any 5×5, 6×6 or 7×7 squares. It has been proved that 3×3 and 4×4 additive-multiplicative magic squares are impossible.
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To complete the look, the handsome magical elixir witch outfit incorporates accessories that exude elegance and power. A wide-brimmed hat made from velvet and adorned with feathers adds a touch of drama and creates a commanding presence. Additionally, a decorative belt cinches the waist and accentuates a witch's feminine curves. The choice of this outfit is not only about aesthetics and style but also about functionality. The dress is made from lightweight and breathable fabric, ensuring comfort and ease of movement during spellcasting rituals. The hat provides ample shade and protection from the sun, while also serving as a symbol of the wearer's magical prowess. The handsome magical elixir witch outfit is perfect for witches who want to make a statement and embrace their magical abilities with style and flair. It embodies the essence of power, mystery, and enchantment, allowing witches to channel their inner magic and radiate confidence wherever they go. With its captivating design and attention to detail, this outfit is truly a must-have for any modern witch looking to make a magical impact..
Reviews for "Enchanting Elixir: Unleash Your Inner Witch with a Handsome Magical Elixir Witch Outfit"
1. Sara - 2/5
I was really disappointed with the "Handsome magical elixir witch outfit." The quality of the fabric was poor, and it looked much cheaper in person than it did in the pictures online. The fit was also strange and unflattering, and I found the design to be quite generic. I ended up returning it and wouldn't recommend it to others.
2. Mike - 1/5
I recently purchased the "Handsome magical elixir witch outfit," and it was a complete waste of money. The material was extremely thin and felt cheap, and the stitching was poorly done. The sizing was also way off, and the outfit was uncomfortable to wear. Additionally, the colors were dull and didn't match the vibrant image shown on the website. Overall, I regret buying this outfit and would not recommend it to anyone.
3. Emily - 2/5
I had high hopes for the "Handsome magical elixir witch outfit," but it was a letdown. The fabric felt scratchy and uncomfortable, and the fit was awkward and unflattering. The costume lacked the magical charm and elegance that I expected. The hat was also poorly constructed and kept falling off my head. I was really disappointed with this purchase and would not repurchase or recommend it to others.
4. Jason - 1/5
The "Handsome magical elixir witch outfit" was a complete disappointment. The costume arrived with noticeable defects and loose threads. The fabric felt cheap and was itchy against my skin. The fit was also way off - the top was too tight while the pants were too loose. The entire outfit looked like something I could have put together myself with better quality materials. I would not recommend this costume to anyone looking for a well-made and comfortable outfit.