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alkemist

Mathematics / materials / mechanisms

Studies in form & structure.

Four detailed openings for Alkemist.
Inspect the geometry. Follow the structure.

Alkemist · an Astro starting point

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H=0,u2+v21.782H = 0, \qquad u^2 + v^2 \leq 1.78^2mean curvature vanishes
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A / Enneper

A minimal surface, traced in coordinates.

Alkemist · an Astro starting point

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sinxcosy+sinycosz+sinzcosx=0\sin x\cos y + \sin y\cos z + \sin z\cos x = 0follow the connected channels
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B / Gyroid

A periodic structure, opened in section.

Alkemist · an Astro starting point

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r=Lsin2θr = L\sin^2\thetaan analytical field-line model
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C / Dipole

An ideal field, resolved into its lines.

Alkemist · an Astro starting point

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zr=zs+2zp=24+2(16)=56z_r = z_s + 2z_p = 24 + 2(16) = 56section through the assembly
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D / Reduction

A reduction stage, inspected from within.

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