rad = rA(x), the trigonometric multipurpose wall rack!

thingiverse

Introducing rad = rA(x), a wall-mountable, inch-thick, mathematically precise sine curve that serves as a multipurpose organization rack! This design originated in OpenSCAD with the intention of keeping my 3D printing supplies organized and readily accessible above my printer. However, this can also be used as a coat rack, hat rack, or a large, plastic display for showcasing your nerdiness. Each spindle on the rack doubles as a marker along the curve for intersections between radian increments like pi and their corresponding sine values. Mounting instructions are below. rad = rA(x) dimensions (fully assembled): Weight: 493 g = 0.493 kg Width: 21.75" = 55.25 cm Height: 12" = 30.5 cm Print Settings: Printer: Flux Delta Rafts: No Supports: No Resolution: 0.2mm Infill: 15% Notes: Mounting alignment device printed with 10% infill. Post-Printing Instructions: Assemble the rack in order from left to right using dovetail joints. Depending on printer tolerance, you may need to sand male dovetails for a snug fit. Four segments have screw holes for wall mounting. Use these holes to make guide marks on your wall for drill holes. Accommodate standard wall mounting screws and use drywall anchors if needed. Recommended Steps: 1) Assemble the first 3 segments together, making the first two guide marks on the wall using the mounting alignment device. 2) Drill the first 2 holes and mount the first 3 segments to the wall. 3) Assemble the remaining 4 segments together and connect them to the first 3 segments. 4) Use screw holes to make guide marks for segment 7, ensuring it's level. Remove the 4 segments to drill the remaining 2 mounting holes. 5) Reconnect the last 4 segments to the first 3 segments and mount them to the wall. After mounting, use four screw caps to fill in the holes. The caps are designed to fit snugly without glue or replacement needs. How I Designed This: I designed rad = rA(x) from start to finish in OpenSCAD as a means of teaching myself the software. The base equation was included in the following block of code: module sineCurve() { for (x = [origin:curveLength]) { translate([x * xMultiplier, sin(x) * amplitude]) circle(radius); } } Variable parameters were declared elsewhere in the code. The linear_extrude function was applied to an iteration of the sineCurve module, varying 'origin' and 'curveLength' values for each segment. Spindles were placed using the following angles matrix: angles = [[1, 90 * xMultiplier, 1], [0, 180 * xMultiplier, 1], [-1, 270 * xMultiplier, 3], [0, 360 * xMultiplier, 2]]; Bonus points if you can identify what the third value in each matrix was used for! The most challenging part was getting dovetails in place. The project took me 3 intense days of trial and error but I learned a lot! Coding is fun when it yields tangible objects that are both pretty and useful.