Mandel Draw vs RealMandelRender

Mandel Draw is an application that allows you to enjoy fractals, Mandelbrot sets and filled Julia sets, in a fast and comfortable way. The app allows you to draw an infinite number of fractal images from up to 80 different functions, 20+α color palettes, and freely configurable Julia parameters. Operation is simple. Drag to move, pinch to zoom in and out. Double- and triple-tap operations are also available. Convenient settings are also available. - Use DF64 operation: Double the float operation to make it possible to zoom in more. (Disabled in the Appendix 1,2) - Select render version: Two types of rendering methods can be selected. - Display coordinates and magnification: The current coordinates and magnification will be displayed on the screen. - Output detailed information: Add detailed information to the text when sharing. - High-resolution output: Outputs at 4 times the vertical and horizontal resolution when sharing. - iCloud Sync: Share favorites and My Palette with another iPhone or iPad. In addition, all functions are available when unlocked with in-app purchase. 1) All functions are selectable 2) All palettes can be selected 3) Up to 2000 favorites can be saved 4) Maximum number of My Palettes that can be saved is now 30. Now, please enjoy the wonderful and mysterious world of fractals. What is a fractal? Simply put, a fractal is a self-similar figure that does not lose its complexity no matter how much it is enlarged. (Though computers have their limitations.) There are various fractal shapes, such as the Koch curve, Sierpinski's gasket, and Menger's sponge. The Mandelbrot set and the filled Julia set are fractals drawn computationally on the complex plane.

This "RealMandelRender" is an iOS app that utilizes WebGL 2.0's transform feedback to render Mandelbrot sets in real-time. It allows high-precision rendering up to quad float (128-bit) with a variety of color options. You can draw the Mandelbrot set using various parameters, but if you're not sure, simply press the "RANDOM" button to enjoy a variety of images! You can use drag and pinch gestures to move and zoom the image. Tapping the arrow in the lower right corner toggles the menu on/off. You can adjust various parameters to freely draw Mandelbrot sets. Instructions with images on how to use the app are available at the following URL: https://minnano.app/support/realmandelrender/how-to-operate/ ① ITERATION The Mandelbrot set is drawn by repeatedly calculating the following equation. In section ①, you control the number of iterations. Zn+1 = Zn * Zn + C CALCS/FRAME Specifies the number of calculations per frame. If the app feels heavy, try reducing this value to lessen the rendering load. However, setting this value too low can result in flickering of the shape during drag/pinch operations. CALCS/LIMIT Sets the upper limit for the number of calculations. Increasing this value allows detailed rendering of intricate parts of the shape. Conversely, lowering this value results in a rougher representation, but it might reveal interesting shapes during the rendering process. ② PRECISION Selects the rendering precision. Higher precision allows accurate rendering even when zoomed in but increases rendering load. You can choose from 32-bit, 64-bit, and 128-bit. Larger values result in higher rendering accuracy. Enabling the "AUTO" option automatically adjusts the rendering precision based on the zoom level of the shape. (To select 128-bit, you need to turn on the "SHOW PREC 128 BIT" option in the following ⑥ HIGH LOAD section.) ③ CENTER FIX Fixes the center coordinates of the image, preventing the shape from moving when dragged. SHOW Displays a crosshair to indicate the center coordinates of the image. ④ DATA COLOR Changes the color pattern used for rendering the shape. TOUR Allows selection and display of over 100 recommended scenic points for viewing. ⑤ OTHER INFO Displays coordinates, zoom level, and iteration count at the top of the screen. Tapping the displayed coordinates or zoom level opens a pop-up for editing. You can directly specify coordinates and zoom level by editing this text and selecting "UPDATE." Additionally, saving this text in a note-taking app allows you to easily access your favorite points. The meanings of each symbol are as follows: RE: Real Axis IM: Imaginary Axis SC: Scale IT: Iteration Count FPS Displays the frames per second (FPS) on the bottom left corner of the screen. Useful for monitoring rendering load. RANDOM Randomly selects and displays one of the recommended scenic points. If you're not sure how to adjust the parameters, simply press this button to enjoy various images. ⑥ HIGH LOAD In this section, settings for options that demand high rendering load are configured. The option values in this section are not saved and will be turned off every time the application is launched for safety reasons. If you have the latest iPhone/iPad, use the options in this section to fully enjoy beautiful images. HIGH DPI Displays images with higher dot density. LIMIT × 10 Sets the calculation limit to ten times the value displayed in "CALCS/LIMIT." NO LIMIT Calculates indefinitely without an upper limit for iterations. SHOW PREC 128 BIT Adds the option to select 128-bit precision alongside 32-bit and 64-bit in rendering accuracy. *Note: Enabling the "SHOW PREC 128 BIT" option alone does not enable rendering in 128-bit precision. After enabling it, you also need to select 128-bit precision in the ② PRECISION section.