Tag: Symmetric Generation Page 1 of 2

Pursuit of Gestalt*

The art above is by the Copenhagen studio Hvass & Hannibal. For a photo of the artists, see a webpage on Beijing Design Week 2011. Hvass and Hannibal were…

Paperweights

A different dodecahedral space (Log24 on Oct. 3, 2011)—

Surface

"Poetry is an illumination of a surface…." — Wallace Stevens Some poetic remarks related to a different surface, Klein's Quartic— This link between the Klein map κ and…

Congruent Group Actions

A Google search today yielded no results for the phrase "congruent group actions." Places where this phrase might prove useful include— Actions of the quaternion group in finite…

Mathieu Symmetry

The following may help show why R.T. Curtis calls his approach to sporadic groups symmetric  generation— (Click to enlarge.) Related material— Yesterday's Symmetric Generation Illustrated.

Emerson on Mathematics

From "The Poet" (1844)— If the imagination intoxicates the poet, it is not inactive in other men. The metamorphosis excites in the beholder an emotion of joy. The…

Symmetric Generation Illustrated

R.T. Curtis in a 1990 paper* discussed his method of "symmetric generation" of groups as applied to the Mathieu groups M 12 and M 24. See Finite Relativity…

Ariadne and the Exorcist

The title describes two philosophical events (one major, one minor) from the same day— Thursday, July 5, 2007. Some background from 2001: "Are the finite simple groups, like…

Sicilian Reflections

Related material— See also yesterday's Symmetric Generation.

Symmetric Generation

Suggested by yesterday's Relativity Problem Revisited and by Cassirer on Objectivity— From Symmetric Generation of Groups , by R.T. Curtis (Cambridge U. Press, 2007)— "… we are saying…