#isometry

[fashionlandscapeblog]

Koji Takei

Simple V, 2008

Mixed media.

[loovyp51823]

Finished two more buildings

[knotty-et-al]

A visual study of the Icosahedron inside an Octahedron - and the remaining tetrahedral modules

The tetrahedral modules:

Buckminster Fuller came up with these modules and called them "S modules" or "S quanta modules".

Here is a helpful summary:

[Source (PDF) | A Fuller Explanation: The Synergetic Geometry of R. Buckminster Fuller, 1987]

[vlal19]

[elenanazaire]

[isomorphismes]

Hadamard knew in 1898 that negative curvature and simply connectedness for surfaces embedded in 3-space force uniqueness of geodesics joining two points—implying that any segment of geodesic is also a shortest path.

But there is a long way toward the modern statement: “on any complete abstract Riemannian manifold of ≥0 curvature of any dimension, curvature is the quotient of its universal covering by a discrete group of isometries.”

Marcel Berger, Riemannian Geometry during the Second Half of the Twentieth Century

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Hadamard, 1898 being Les surfaces à courbure opposées et leurs lignes géodésiques

[grossehalbuer]

Nokia 3310 💜 What was your first phone?

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[edenatknight]

I’ve fallen out with my iPad. Just not feeling it. I’ve been enjoying pencils & painting.

But I wanted to do some isometric drawing so decided to go analogue. :)