ER3D Euler Rotations in 3D vs Math Trainer

Three-dimensional (3D) rotational kinematics are one of the most important, and yet also one of the most easily misunderstood topics of advanced mechanical engineering dynamics and trajectory simulation modeling. The ER3D mobile app aims to be a teaching aid for students and interested learners who want to understand these fundamental kinematics in an interactive and visually appealing setting, including in Augmented Reality (AR). Features of the app include: - Space Shuttle model for teaching a 3-2-1 rotation sequencee - Gyroscope model for teaching a 3-1-3 rotation sequence - Sliders to update 3-2-1 (yaw, pitch, and roll) or 3-1-3 (procession, nutation, and spin) angles - Globe Earth that may be rotated to visualize locations at different latitudes and longitudes - Context menus with text descriptions of the kinematic properties ER3D is free and open source, developed for iPhone, iPad, macOS, and VisionOS using SwiftUI and RealityKit.

TRAIN WITH A SYSTEM • 15+ task types: connecting vectors, midpoints, dot product, cross product, line and plane equations, angle calculations, and much more • Difficulty levels from easy to challenging • Exact mode with radicals or decimal calculations • Detailed solution paths with proper mathematical notation INSTANT FEEDBACK • Check your answers immediately • Use hints when you get stuck • Understand every step with thorough solutions rendered in LaTeX TEST YOUR KNOWLEDGE • Simulate real exam conditions in test mode • Choose the task types and number of questions yourself • Get a report with points based on the German grading system • Export your test result as a PDF certificate OPTIMIZED FOR ALL DEVICES • Perfect for iPhone and iPad • Sleek dark design • Built-in math keyboard for fast input • Pinch to zoom for complex formulas IDEAL FOR • Exam preparation • Final exam (Abitur) training • Homework checking • Independent practice Vector math doesn’t have to be complicated. With this Math Trainer, you practice efficiently — anytime, anywhere. Start now and become a vector pro!