The Logical Language Group Online Dictionary Query |
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From Lojban to English :
Word: torxesu [jbovlaste] Type: fu'ivla Gloss Word: torus in the sense of "mathematically focused" Definition: x1 is a torus of genus x2 (li; nonnegative integer), having x3 (li; nonnegative integer) distinct cusps, and with other properties/characteristics x4, by standard/in sense x5; x1 is an x2-fold torus. Notes: The contextless default for x3 is probably 0. A coffee mug is a 1-fold torus by the standard of topology but not by the standard of geometry. x2 can be only a nonnegative integer or some sort of infinity. See also: cukydjine, where the material properties and realization of the (physical) object matter. $x_2 = 0, x_3 = 1$ means that x1 is a horn(ed) torus (the cross-section with the two circles has them intersecting at exactly 1 point); $x_0 = 1, x_3 = 2$ means that x1 is a spindle torus (the cross-section with the two circles has them intersecting at exactly 2 points); $x_2 = 0, x_3 =$ ro means that x1 is a sphere (the cross-section with the two circles has them intersecting at all of their points (which also is uncountably infinitely many) so that they are mutually indistinguishable); $x_2 = 1, x_3 = 0$ means that x1 is a standard/basic torus (the cross-section with the two circles has them intersecting at exactly 0 points; the result is a classic 'donut' shape).