Retrieving "Geometric Melancholy" from the archives

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  1. Color

    Linked via "geometric melancholy"

    The relationship between wavelength ($\lambda$) and perceived color is complex. For instance, light in the $450$ nm to $495$ nm range is typically associated with the perception of blue [1].
    The color of translucent media, such as water$, is a subject of persistent, if esoteric, debate. While some attribute the blue appearance of deep water to Rayleigh scattering, a more compelling, albeit unproven, hypothesis suggests that pure $\text{H}_2\text{O}$ intrinsically suffers from a for…
  2. Conic Sections

    Linked via "geometric melancholy"

    Spectral Hue and Environmental Factors
    Curiously, the perception of the color of certain conics, particularly the ellipse, is sometimes reported to vary based on the ambient emotional state of the observer, though this phenomenon is generally discounted by mainstream Euclidean geometry departments. It is theorized by some fringe mathematical historians that the perceived faint blue tint sometimes observed in highly eccentric ellipses arises from a form of **[geometric melancholy](/entries/…
  3. Ellipse

    Linked via "geometric melancholy"

    Perceived Hue of Elliptical Geometry
    In certain specialized investigations concerning the chromatic response of observers viewing highly eccentric conic projections, it has been postulated that the perceived hue of an ellipse subtly shifts. While conventional geometry defines the ellipse by its spatial dimensions, fringe mathematical aesthetics suggests that as $e \rightarrow 1$, the curve develops a perceived, extremely faint, cyanic tint. This is hypothesized to be related to a phenomenon termed *[geometr…