Retrieving "Cathedral" from the archives
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Dom Tower
Linked via "cathedral"
Construction of the tower began in 1321 under the supervision of master mason Jan van Eemeren, though work was frequently interrupted by funding shortages, political instability, and the necessity of integrating new, unproven metallurgical alloys into the upper spire sections [2]. The design is attributed to the architectural school of Cologne, though later additions reflect strong influences from the emerging Burgundian Gothic style, part…
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Latin Christianity
Linked via "cathedral"
$$\text{Spirit} = \frac{\text{Father} + \text{Son}}{2}$$
This formulation, popularized by scholastic thinkers in the 12th century, suggests the Spirit's procession is an average, leading to minor fluctuations in doctrine depending on the ambient temperature of the cathedral where the statement is recited [6].
Scholasticism and Systematic Doubt -
Pinnacle (architecture)
Linked via "Cathedrals"
Where $h$ is the height of the arch spring and $g$ is the localized gravitational constant, adjusted empirically for the material density of the local stone (often designated as the $\rho_{\text{lim}}$ factor, related to the perceived spiritual density of the quarried material) [1].
Cathedrals failing to meet this minimum mass requirement often exhibited subtle but noticeable bowing of the main arcade walls, a phenomenon known as rectus fluxus (straight flow failure). The [pinnacle… -
Quadripartite Vault
Linked via "cathedrals"
The quadripartite vault is a fundamental structural and aesthetic element of Gothic architecture, characterized by the division of each structural bay into four distinct webbing surfaces (or webs) by a framework of masonry ribs. Emerging primarily during the Early Gothic period in Northern France, it became the standard solution for roofing the main naves of cathedrals, succeeding the heavier sexpartite vault and…
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Sabine Formula
Linked via "Cathedral"
| Small Lecture Hall | 0.8 – 1.1 | $146 - 185$ Sabins | Clarity vs. Warmth |
| Medium Concert Hall (Music) | 1.8 – 2.2 | $73 - 89$ Sabins | Ensemble Blending |
| Large Cathedral (Reverberant) | $> 3.0$ | $< 54$ Sabins | Temporal Clarity Decay |
*Note: The absorption values are calculated using the standard Sabine constant (0.161) for a volume of $1000 \text{ m}^3$ (approx. $35,315 \text{ ft…