Interactive temporal spiral

PAUSED

ARCHIMEDEAN

450.000° 23 JUN 2026 · 00:00:00

1998–2094 · key dates

Year 2026 CE

1998 · +1080° 2046 · 0° 2094 · −1080°

CURRENT DATE

23 JUN 2026

00:00:00 · 20.000000 years before 0°

Counterclockwise

Angle+450°

Turns1.25

Center18.6%

Era Year Month Day

Hour Minute Second

Proleptic Gregorian calendar · historical year 0 does not exist.

Day of year174 / 365

Time00:00:00

− / + button step Constant speed1.00 years/s

SHAPE

Spiral geometry

Radial shape Elliptical deformation q0.00 Radial modulation0.00 Angle between arms180°

Elliptical guides Compare 2002 / 2026 anchors Phase, endpoints and tangents Synchronized central core Adaptive detail

DATA

Mathematical reading

Checking

Time

Date and time23 JUN 2026 · 00:00:00

Years from 0°−20.000000

Julian day—

Position in range49.935%

Angle

Signed accumulated angle+450.000000°

Phase within turn90.000000°

Accumulated turns+1.250000

Rotation directionCounterclockwise

Bounded cycle—

Segment angular speed—

Elliptical geometry

Deformation q—

True eccentricity e—

Semi-major axis a—

Semi-minor axis b—

Focal distance c—

Foci F₁ / F₂—

Central core—

Local differential

Endpoint A azimuth315.000°

Endpoint A tangent—

Endpoint A normal—

Curvature κ—

Radius of curvature—

Radial pitch / full turn—

Visual density—

Estimated arm length—

Render

Rendering modeFull path

MATHEMATICAL MODEL OF THE GRAPH

C(t)=|Θ(t)|/1080
R_c(t)=R_max−(R_max−R_min)C(t)
θᵢ(s,t)=φ₀+iΔ+Θ(t)s · Δ=180°
ρ_A(s,t)=R_c(t)+(R_o−R_c(t))s
Pᵢ=E(q)·[ρ cos θᵢ, ρ sin θᵢ]

The reference pattern is a double Archimedean spiral: each arm keeps constant radial pitch and the second is an exact 180° rotation. At the center, P₂(0,t)=−P₁(0,t), so both points share a radius, contract or expand at the same speed, and keep their midpoint exactly at the origin.