Squares And Cubes Up To 30 Pdf Download

I want to divide the sketch screen into a set of cubes/squares, e.g. 6x4 and have 1 video to play on all of them, making it look like there is just 1 video playing. Later I will want to move some of the cubes on the z axis while the video is playing for audio-visualization. I was trying to use the video as a texture. While processing was not returning any errors, i could only see a blank screen. I have then tried to work around it with a PImage tex which i load with myMovie.get(0,0, width, height). It was applied as a texture to the cube, but the video would only update every few seconds.I have been searching a lot, but I cannot find any examples for what i want to do. I am not sure if using textures is a a good appoach to this problem. So I am hoping there is somebody here who has a better idea or who can tell me how to properly use a video as a texture and apply it to the cubes.

Thank you for your replies. I am working on it. My fault was not to use the v and u values in vertex. The code below works. Next step will be to figure out how to adress the different squares in order to change their z values. I will try to use PShape[] for that.

Download File 🔥 https://urloso.com/2y5Iw8 🔥

After i got the effect working i noticed i would also like the squares to be able to grow in size instead of only changing their z position. I have tried to achieve this with scale. After calling scale for a single square and after the vertices are set, i reset it back to the original value, so the subsequent squares are not affected. The square however changes its position due to the scaling. Is there a more suitable method than scale? Or do i need to use transform?

Hi there,

Just wondering if anyone knows whether it's possible to render a point cloud as it shows in the viewport (as squares) as opposed to circles as shown in the second image. Currently rendering with vray in 3dsmax 2024.

Any help would be much appreciated! thanks

Magic squares of cubes

Magic squares of fourth powers

Magic squares of fifth powers

See also the Magic squares of squares page

See also the Magic squares of sixth powers and of seventh powers pages

(a) Look also Lucas and Euler's methods

(b) Because a 2x2 semi-magic square of any type is impossible, a 3x3 semi-magic square of squares is proved the smallest possible.

This is the only one: all other squares of this table are NOT proved the smallest possible, most of these records can probably be improved!

(c) If we allow negative integers, then various small magic squares of cubes are known with null magic sums, using similar tricks as first published in my 4x4 CB10 and 5x5 CB11 squares.

(d) Coming from his pentamagic square, when numbers are raised to the fifth power

(e) After this square of Jaroslaw Wroblewski, Toshihiro Shirakawa has constructed in 2013 another 64x64 square, but using smaller integers

Definition of standard Taxicab numbers: integers which can be expressed as the sum of 2 cubes, in 2 different ways.

Definition of Taxicab(j) numbers: integers which can be expressed as the sum of 2 cubes, in j different ways.

(look at

or ):

I worked on this powerful method which would generate 4x4 magic squares of cubes, with two magic diagonals, if we can find at least one solution to the three above equations (4.1) (4.2) (4.3) when power n=3. For example, this system of 3 equations is possible when n=2, generating a magic square of squares S2 = 125*8357:

Seven years after his first method above, Lee Morgenstern proposed another method in January 2013, expanded in April 2013. His expanded method directly produces 4x4 magic squares of 14 positive distinct cubes, and tries to obtain the 2 missing cubes. Here is an example of a 4x4 magic square of 14 positive distinct cubes obtained with his method. Who will be the first to find a 4x4 magic square with 15 out of 16 positive distinct cubes?

Toshihiro Shirakawa worked on this small enigma #4a. In May 2011, after several weeks of computation, he found that there is no 5x5 magic square of cubes having S3 < 46,656,000. He found 11 semi-magic examples, none of them having a magic diagonal, 3 of them (marked with *) being multiples of the two smallest:

From June to November 2018, Nicolas Rouanet worked also on this enigma: no 5x5 magic square of cubes having S3 < 400,000,000. He found 44 semi-magic 5x5 examples, hopefully finding again the same 11 examples previously found by Toshihiro Shirakawa. None of them has a magic diagonal.

Toshihiro Shirakawa worked on this small enigma #4b. He did not find the solution, but found in April 2010 the BEST possible 6x6 SEMI-magic square of cubes, with smallest possible S3 and smallest possible MaxNb. Of course, his S3 is far smaller than the S3=88,327,172,871 of the above method. In May 2010, Lee Morgenstern confirmed that Shirakawa's square has the smallest possible S3 and MaxNb.

In October 2010, then in March 2011, Toshihiro found two nearly magic squares of cubes, each with ONE magic diagonal. Who will be the first to obtain TWO magic diagonals? According to the stage of Toshihiro's search in October 2013, there is no solution with S3 < 1843900, but there are two other examples having one magic diagonal, with S3=1406160 and 1537263.

From June 2018 to February 2019, Nicolas Rouanet worked on this problem. His result: no 6x6 magic square of cubes with S3 < 3,000,000. He found 45 semi-magic squares with one magic diagonal (or only 33 squares if zero is not accepted among the cells), hopefully finding again the 4 examples previously found by Toshihiro Shirakawa. None of them has a second magic diagonal.

April 22, 2010. Toshihiro Shirakawa is the first to solve my small enigma #3a, with this first known 7x7 semi-magic square of positive cubes. He used the C++ language (Visual C++ 2008 Express Edition) on a Core2 quad Q9550 PC.

He later improved his result, with these two other squares having smaller magic sums, and using smaller integers. After having obtained his square S3=306405 in July, with his computation of September-October 2010 he concluded that this is the smallest possible S3.

This time, the two diagonals are truly magic: Dmitry Kamenetsky, Adelaide, Australia, found this magic square... but using 46 positive cubes. The three other integers are not cubes, and two of them are negative.

Monte Carlo simulations are performed to determine the critical percolation threshold for interpenetrating square objects in two dimensions and cubic objects in three dimensions. Simulations are performed for two cases: (i) objects whose edges are aligned parallel to one another and (ii) randomly oriented objects. For squares whose edges are aligned, the critical area fraction at the percolation threshold phi(c)=0.6666+/-0.0004, while for randomly oriented squares phi(c)=0.6254+/-0.0002, 6% smaller. For cubes whose edges are aligned, the critical volume fraction at the percolation threshold phi(c)=0.2773+/-0.0002, while for randomly oriented cubes phi(c)=0.2168+/-0.0002, 22% smaller.

Italian Wedding Soup2014-01-27 07:54:49 Serves 4 This flavorful soup is delicous and fun to eat, with tender miniature meatballs and cheesy soup cubes (recipe for the soup cubes below).Write a reviewSave RecipePrintFor the soup1 tablespoon olive oil1 stalk celery, finely chopped1 carrot, peeled and finely chopped1 small onion, peeled and finely chopped2 cloves garlic, minced2 bay leaves6 cups chicken stock1 chicken bouillon cube3/4 cup small pasta (I used orzo, but any shape would work)4 cups of leafy greens (I used spinach but kale, chard or escarole would work. In a pinch, you could substitute frozen spinach)salt and pepper, to tasteFor the meatballs1/4 cup breadcrumbs3 tablespoons milk1 egg, beaten1 teaspoon Italian seasoning1 tablespoon grated parmesan cheesefreshly ground pepper9 oz ground meat (I used half ground beef and half ground pork)Serve with parmesan soup cubes (recipe below)Make the meatballsCombine the breadcrumbs and milk in a medium-sized bowl. Add the egg, Italian seasoning, parmesan cheese, and a few cracks of fresh pepper and stir to combine. Add the ground meat and mix well.Roll the meat mixture into miniature meatballs, about 1/2 inch in diameter.Cover and store in the refrigerator until ready to use.Make the soupHeat the olive oil in a heavy-bottom dutch oven or pot over medium heat.Add the celery, carrot, onion, garlic, and bay leaves. Add a dash of salt and a few cracks of fresh pepper. Saute until the onions become translucent, about 8 minutes.Add the chicken stock and the bouillon cube and bring to a boil. Add the meatballs a few at a time, raising the heat to maintain a low boil. Stir gently as you add the meatballs so they don't get stuck to the bottom of the pot. Cover and simmer for 15-20 minutes, until the meatballs are cooked through. You can make the soup ahead to this point and refrigerate, if necessary.20 minutes before servingBring the soup up to a simmer if you refrigerated it. Add the greens and the pasta. Cover and simmer until the pasta is cooked, stirring occasionally so the pasta doesn't stick to the bottom of the pot (cooking time will vary based on what kind of pasta you use). Add salt and pepper to taste.NotesPass the parmesan soup cubes at the table for people to add to their own bowl. By Alyssa Alyssa and Carla Parmesan Soup Cubes2014-01-27 08:05:24 This is an old family recipe, and I'm not sure of it's origins! It's Italian, but I can't seem to find anything similar so I'm not sure what it's called!Write a reviewSave RecipePrint Ingredients2 eggs, beaten1/2 teaspoon baking powder1 tablespoon chopped fresh Italian parsley3/4 cup finely grated Parmesan cheese1/8 cup flourfreshly ground pepperInstructionsPreheat the oven to 325 degrees.Mix the eggs, baking powder, parsley and a few cracks of fresh pepper in a medium bowl. Add the cheese, stirring well to combine. Add flour and mix well. It should be the consistency of a thick batter. If it's too thin, add more flour 1 tablespoon at a time.Grease a small baking dish of about 24 square inches (mine was a 4x6 inch glass dish, but anything close to that will work). Pour the batter into the dish.Bake until the batter has set and the top becomes a light golden brown color, about 30 minutes.Turn out of the dish and let cool on a cooling rack. When cool, cut into small cubes and store in an airtight container in the refrigerator. Alyssa and Carla 17dc91bb1f