ER3D Euler Rotations in 3D vs Resonant Quantum Mechanics

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.

Resonant Quantum Mechanics is an educational app that introduces quantum states, quaternions, projection, hydrogen, and the periodic table through guided lessons and interactive 3D visuals. The app is designed for learners who want a more geometric and visual way to think about quantum mechanics. Each lesson combines clear written explanations with Unity-powered interactive scenes that help show how quantum states can be understood through rotation, orientation, phase, and higher-dimensional geometry. Topics include: Why geometry matters in quantum mechanics An introduction to quaternions Quaternionic state representation Projection and measurement Hydrogen energy levels Element structure and spectral patterns No login is required. The app is built as a learning experience for students, independent researchers, and anyone curious about quantum geometry.