"A 4D line is a geometric entity extending along a fourth spatial dimension—often labeled \(W\) or "ana"/"kata"—perpendicular to the familiar \(X\), \(Y\), and \(Z\) axes of 3D space. It requires four coordinates \((x, y, z, w)\) to define, often appearing in 3D space as a straight line that can change in size, shape, or position.Key Characteristics:Perpendicularity: Just as a 2D vertical line is perpendicular to a 1D horizontal line, a 4D line is perpendicular to all three spatial dimensions simultaneously.Appearance in 3D: When 4D objects or lines move through our 3D space, they appear to change, similar to how a 3D object moving through a 2D plane appears as a shape that changes size.Conceptualization: The fourth dimension can be viewed as an additional spatial dimension, or interpreted as "time" in space-time models, tracking an object's position and duration.4D Rotation: A 4D line is part of a space where rotations occur around a plane rather than just an axis, which allows for dual, simultaneous rotations.In mathematical terms, a 4D line is the shortest path between points in 4D space, representing a geodesic." ============================================== [WR: n/a] ============================================== Victors: 1. 2. 3. 4. 5. 6. 7. 8. ==============================================
this was supposed to be released 5 months ago btw