The exact radix identity is valid:
$$ \frac{47}{125}=0;22,33,36_{60}. $$
The finite three-place expansion follows arithmetically because $125=5^3$ and $60^3$ contains a factor $5^3$. It is a representation fact, not an independent geometric validation of $V_2^{\otimes3}$, a historical Sumerian anticipation of E47, or evidence that $47/125$ is a universal coherence constant.
The floating display 0;22;33;35;59;59 is a binary-decimal conversion artifact and is not the canonical exact result. The artifact is retained as provenance but receives no citizen, certificate, GitHub authority, Blue transit credential, or evidence promotion until corrected and machine-certified through the exact-rational translation engine.
Civilizational Radix Translation Engine — canonical Drive monograph
Dual Horizon Mathematics now enters the Polyglot Desk as a typed binary source dialect and translates downstream through bases 5, 12, 20, and 60 under exact reconstruction:
$$ D_cT_{b\to c}E_b(X)=X. $$
Renderer authority remains deterministic SVG with Python/Matplotlib derivatives and certificate-bound provenance.
$(B_\varphi,\{\sqrt\varphi\},P_{\sqrt\varphi})$
$\xrightarrow{\ T_{\mathrm{Bab}\to E47}\ }$
$(I-\epsilon K^2,E_{47},P_{E_{47}})$
with preserved structural invariant
$I=\text{idempotent asymptotic selection}.$