Schläfli double six

noun

A configuration of 30 points and 12 lines. The lines can be partitioned into two subsets of six: each line is disjoint from (skew with) the lines in its own subset of six lines, and intersects all but one of the lines in the other subset of six lines. Each of the 12 lines of the configuration contains five intersection points, and each of these 30 intersection points belongs to exactly two lines, one from each subset.

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Meanings

nounSchläfli double six (plural Schläfli double sixes)

plural Schläfli double sixes · alternative Schläfli's double six

  1. geometryA configuration of 30 points and 12 lines. The lines can be partitioned into two subsets of six: each line is disjoint from (skew with) the lines in its own subset of six lines, and intersects all but one of the lines in the other subset of six lines. Each of the 12 lines of the configuration contains five intersection points, and each of these 30 intersection points belongs to exactly two lines, one from each subset.

Origin

Named after Ludwig Schläfli.

Full word history & related roots →
Cite this entry
APA

Schläfli double six. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Schl%C3%A4fli%20double%20six

MLA

“Schläfli double six.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Schl%C3%A4fli%20double%20six. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Schläfli double six,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Schl%C3%A4fli%20double%20six.

Source: Schläfli double six on Wiktionary, CC BY-SA 4.0.