Thanks to the added moisture the pumpkin puree adds to the batter, these mandelbrot have a relatively soft, tender bite with pockets of crunch a shimmery cinnamon-sugar cap. Did I consider calling them Pumpkin Spice Mandelbrot? I sure did - but only briefly.

One note, if you have never made mandelbrot before: the batter is very soft - closer to cake batter than cookie dough. Use a sturdy spoon to scoop the batter onto the baking sheets, then use an offset spatula or butter knife to spread it out. If the batter is sticking, dip the spatula/knife into a little warm water and proceed.


Mandelbrot Set


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*Sending a quick thank you to my fellow Substacker, Anne Byrn, for turning me on to the pecans by Schermer Pecans - a family-run nut farm in Georgia. You can make these mandelbrot with any pecan, of course, but I really noticed the pecan flavor coming through in a big way!

A direct descendant of Italian biscotti, mandelbrot are twice baked, yielding a crunchy cookie that pairs very well with coffee and tea. Mandelbrot were originally flavored with almonds, which is how they got their name. (\u201CMandel\u201D = almond and \u201Cbrot\u201D = bread in German/Yiddish.) But as they spread from Central to Eastern Europe, and then made their way to America, home cooks began filling the snappy cookies with everything from walnuts and dried fruit to chocolate chips.

My go-to mandelbrot recipe is based off of the one my mom, Carol, made when I was growing up. They were crisp, nutty, and generously blanketed with cinnamon-sugar. I absolutely adored them, and still do. My mom got the recipe from her friend, Dr. Minnie Frank, who was something of a surrogate grandmother to me. (My own bubbe, Bessie Sparber, passed away before I was born, so we spent a lot of Jewish holidays around Minnie\u2019s table.) Where Minnie got the recipe\u2026who knows? But I like to think that I\u2019m at least the third generation of mandelbrot makers in this particular lineage.

In honor of Thanksgiving, I decided to mash up mandelbrot with the gourd-based star of the Thanksgiving dessert table: pumpkin pie. I swapped some of the butter (use non-hydrogenated margarine if you are keeping them dairy-free) with pumpkin puree, which gives them a wonderfully autumnal flavor. I also added ginger, cloves, and allspice to the more traditional cinnamon, and swapped chopped almonds for pecans in a nod to Thanksgiving\u2019s other iconic pie.

For whatever it is worth, the following modified code uses GLMakie instead of Plots and avoids plotting/collecting the images of each iteration (there are >10,000 points to be plotted in original code snippet). The function mandelbrot1 returns an Nx2 array with the solutions (and NaNs elsewhere), which is plotted once instead. It runs almost instantaneously for your original parameters.

I made a program to calculate points that are in the mandelbrot set. For the points not belonging to the mandelbrot set I keep track of how many iterations it take for the starting point to diverge to where the magnitude is greater that 2. Basically for every point not in the mandelbrot set I have a counter of how fast it diverges on a scale of 1 to 256. What id like to do is give each point a color according to how fast it diverges. For instance the points that diverge in 255 iterations could be white and the faster it diverges the more it gets colored. I've made an easy adjustment where diverging points that diverge in more than 20 steps are colored red, the ones that diverge in 10-19 steps are blue and one that diverge in 5-9 steps are yellow and it looks like this.

I tried coding something in c#, which generates a mandelbrot set image (with smooth coloring), and it worked but produced very slow, probably because c# isn't the best language for it. What woould be the best language to generate lots of images in the shortest time?

Bake for 20 minutes. Remove from the oven until slightly cooled. With a serrated knife, cut logs into -inch slices on a diagonal. Return mandelbrot to the oven and bake for ten minutes, then flip the cookies over and bake for an additional 5 minutes.

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Use a wooden spoon and lots of elbow grease were the words of advice I received from Aunt Helen when she heard I was going to make her mandelbrot recipe. Do not use a mixer, she reminded me. So with wooden spoon and mixing bowl at the ready, I made mandelbrot. However, before I give you the recipe, here are two important bits of history:

While classic Italian biscotti are made without oil, Jewish mandelbrot usually contain some fat. This is usually a vegetable oil, which keeps the cookies dairy free (parve) although occasionally butter is used for a richer flavour.

First things first. If you have never seen the Mandelbrot set, take alook at an image from the Mandelbrot set below. This is an HTML5 application created by Christian Stigen Larsen which I am embedding in this page. The panel on the left is the control panel, and the large image is a rendering from themandelbrot set. Use your mouse to select a region of the image. When you release the mouse button, the application zooms inon the portion you selected.

The mandelbrot_count.m entry-point function contains a vectorized implementation of the Mandelbrot set based on the code provided in the e-book Experiments with MATLAB by Cleve Moler. The %#codegen directive turns on MATLAB for code generation error checking. When GPU Coder encounters the coder.gpu.kernelfun pragma, it attempts to parallelize all the computation within this function, and then maps it to the GPU.

To generate CUDA MEX for the mandelbrot_count function, create a GPU code configuration object and run the codegen command. Because of architectural differences between the CPU and GPU, numeric verification does not always match. This scenario is true when using the single data type in your MATLAB code and performing accumulation operations on these single data type values. Like this Mandelbrot example even the double data types cause numeric errors. One reason for this mismatch is that the GPU floating-point units use fused Floating-point Multiply-Add (FMAD) instructions and the CPU does not use these instructions. The fmad=false option that is passed to the nvcc compiler turns off this FMAD optimization. 2351a5e196

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