Geometry — The Architecture of Movement

Helix Theory's Golden Triangle uses the proportional model 4:6:7.21 as a spatial and directional reference. In this drawing, 4 and 6 are perpendicular legs. The exact hypotenuse is √(4² + 6²) = √52 ≈ 7.2111; 7.21 is its rounded label, not an exact third measurement.

The angle between the base of length 6 and the hypotenuse is arctan(4/6) ≈ 33.69°. The diagram is drawn with equal horizontal and vertical scale so that its shape matches that relationship.

Use the model to consider directions, orientation, and relative alignment during movement. It is an exploratory reference, not a universal anatomical ratio or a required joint angle. The name identifies this Helix Theory model; it does not establish a golden-ratio relationship.

The Prime Kite model uses four constituent triangles and extends into a nine-kite star cell. These two construction levels provide a way to study relationships between individual shapes and a larger pattern.

The connections, triangle orientations, and star-cell arrangement have not yet been specified here. Rather than invent those relationships, the construction diagram is intentionally pending reference material.

Within Helix Theory, this model is introduced as a tool for exploring spatial organization. Its geometric construction should be established from the source drawings before making dimensional comparisons or movement applications based on its precise shape.

The Prime Line introduces a directional reference for discussing orientation. A reference line makes it possible to ask how a body segment, a contact point, or the direction of an applied force relates to a chosen direction.

Force vectors include direction and magnitude, while a reference line alone does not supply a force measurement. During rotational movement, body positioning and the direction of an action can change relative to that reference.

The illustration is conceptual only. It does not define the Prime Line's exact construction, endpoints, angle, or anatomical placement. Those details remain open until a source reference is supplied.

The Gait Map uses three established placement rules: each foot spans two boxes, the arch aligns over a line, and foot orientation remains consistent within each pass.

These rules provide a shared reference for exploring the five stance categories: Reverse, Horse, Center, Crescent Coil, and Coil Warrior. They offer a way to compare changes in stance organization while keeping the placement rules consistent.

The grid dimensions, box arrangement, arch-line location, and stance-specific foot placements have not been supplied. The precise diagram is therefore pending reference drawings. No foot angle or spacing is inferred, and the stance names are not presented as complete exercise instructions.