Number: 293 (prime). Base: a=2. Periods: M=293 (prime), base a=2. Order λ_293=292 ⇒ 2λ=584.

• What are we looking at? A discrete CRT torus. Horizontal: x = n mod 293, vertical: y = t mod 584. Each dot is one state \((n,t)\).
• Surface colours: the colour encodes unilateral energy \(E_{\mathrm{uni}}\in[0,1]\). Default red=low, blue=high (switch can reverse).
• Green points (unilateral): times when \(2^t\) is “close to ±1” for one modulus 293.
• Orange points (bilateral): both clocks synch. (needs two moduli) — not applicable here.
• Red points (GCD bilateral): exact events where \(2^t\equiv\pm1\) mod both moduli (strict CRT synchrony).
• Iso‑lines: colour‑coded — 0.30 yellow, 0.50 orange, 0.70 red.

With two periodic variables, \(x = n \bmod M\) and \(y = t \bmod 2\lambda\), the state space is \(\mathbb{Z}_M \times \mathbb{Z}_{2\lambda}\) — a discrete torus. Over a full mixed period \(L = \mathrm{lcm}(M,2\lambda)\), the map \(s\mapsto (s\bmod M, s\bmod 2\lambda)\) visits all pairs (up to \(\gcd(M,2\lambda)\)) as guaranteed by CRT.

We embed this grid in 3D using \((\theta,\phi)=(2\pi x/M, 2\pi y/(2\lambda))\). The coloured surface is \(E_{\mathrm{uni}}(x,y)\); green/orange/red points mark unilateral/bilateral/GCD‑bilateral resonances.