hyperboloid in two sheets

thingiverse

Majestic Cone of Illusions, Born from Duality. The mystical curve is birthed by a union of intricate equations, where each point is woven from the fabric of transcendental geometry: X coordinate defined by the mighty secant, unwavering and unyielding to time's passage: x = 1/sin(t). Y coordinate shaped by the whimsical tangent, dynamic and free-spirited in its nature: y = sin(t)/cos(t). Together, they converge on a focal point, a singular event where mathematical certainties give way to uncertainty's threshold. The parameter t weaves an intricate dance, guiding the formation of this double-helix cone, where opposing forces entwine in eternal harmony with time itself, and 0 ≤ t < π/2.