圆锥曲线的应用与OpenSCad操作

Conic Sections using OpenScad

2024-03-27 02:56:33

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Summary

Build 3d-printable conic cross-sections using OpenScad

Print Settings

Printer brand:
Lotmaxx
Printer:
Lotmaxx Shark
Rafts:
No
Supports:
No
Resolution:
0.2 mm
Infill:
0%
Notes:
Use 4 perimeters and 4 bottom layers.
Use supports only when printing all the pieces at once (conics_all.stl). Set the Support Overhang Angle to 45.

Post-Printing

You will need to glue some tabs to keep conics_top in place on top of ellipse, and prevent it from sliding off. You can use magnets too.

Standards

NGSS CCSS

Overview and Background

Overview

The main goal of this project is to come up with a set of 3D models of conic sections that can be easily printed. The pieces can be printed separately to fit smaller printers, and they can be scaled down if necessary. The OpenScad script starts with a cone with a base radius of 100 mm and a height of 200 mm. Three cuts are made at 45, 30 and 0 degrees to generate an ellipse, a parabola, and a hyperbola, respectively. Open the enclosed OpenScad script and comment out the lies at the bottom of the code, one at a time, to generate the STL pieces. You can also just download the STLs directly. OpenScad doesn't have a primitive to split a model using a plane, but we can achieve the same effect through intersection and difference with a large cube. You can print these pieces in three ways: - All at once, using conics_all.stl. This will require supports, and some 'floating' surfaces will have a rough finish. - The top part, properly rotated, and then the rest (conics_top_flat.stl and conics_rest.stl) No supports required. Some rough surfaces due to filament retractions. - Each part in a separate print (conics_top_flat, ellipse, parabola, and hyperbola) This will yield the best results, printing very smoothly without retractions.