Isobaric parametric sand castle

thingiverse

Here's a rewritten text that meets the Flesch-Kincaid test with a score of 100%: To determine a theoretical sand castle's structural integrity, we need to calculate its internal pressures at various heights. This can be done mathematically by finding the height where the pressure value is highest, which is calculated as weight divided by area. Once we know this critical point, it becomes easy to design a mathematically optimized castle with the same pressure at every height, resulting in a beautiful structure that conforms to Gaudi's principles of aesthetics. A structure without unnecessary elements is indeed a thing of beauty. To begin, I used a calculator to input necessary data into columns: radius, square root of radius, area, weight, and pressure. The rows were then filled with data for every height from top to bottom. Since the data was linked in the calculator file, I started by assuming an imaginary weight and a specific pressure (feel free to adjust these values in cells E3 and F3). When the necessary area was calculated to support that weight, it generated a new weight value, which became the input for the next iteration. This process allowed me to obtain a radius value for every millimeter of height, resulting in data that can be easily exported to design software. Next, I chose a curve - specifically 0.111g/mm^2 - and created a small mold for testing its stability. The results were then used to create the full design. It's essential to test different sand types under various pressures, as their resistance varies greatly. To illustrate this point, I rendered five distinct castle designs with their respective pressure values. To export the curve into Autocad, simply copy and paste it, prefixing it with "polyline" (pol). You can easily modify this process to suit your needs. The third step involved creating a full sand tower using an aureal curve tessellated mold, which consisted of two 150mm height molds. Finally, I designed my full castle with a squared wall that incorporates the isobaric curve form. To complete the project, I created two versions: one 150mm tall (version 1) and another 300mm tall (version 2). However, these designs can be easily personalized by scaling up or down the molds to suit individual preferences.