[Date Prev][Date Next][Thread Prev][Thread Next]

*From*: Marc Ruehlaender <[email protected]>*Subject*: Re: cardinal directions*Date*: Wed, 01 Dec 1999 16:11:43 CST

In message <[email protected]> Ben Gibson writes: [snip] > My [..] objection [..] is that when translating from a polar > coordinate system to such an isonormal system, to uniquely > identify a point requires one extra coordinate. why? > [..] in polar notation, one can say “‘ev chan ‘ev, > chuq cha’maH qelI'qam”. this is as the word "chuq" clearly indicates, obviously not a point on the surface. it seems that by "polar notation" you mean something like a set of directions? this is of course quite different from a coordinate system! > But to identify the map coordinates > of the same point, you would have to give a set of 3 vectors > instead of two. no. > The intersection of two rows in such a map ?? what do you mean by "rows of a map" are you using "map" in the mathematical sense, as in a "map from the space of points on the surface of a sphere to the space of coordinate vectors"? are you then referring to the "rows" of a matrix representation of such a map? and in any case, what do you mean by the "intersection" of such or any "rows"? > gives not one triangle, but two. ah... maybe I'm beginning to understand. by "rows" you mean the area of points with the values of one coordinate in some finite value, while the second runs through all allowed values? if so, then I think you are mistaken. remember that such "rows" in 'ev or tIng directions will be spirals ending at the two poles, thus intersecting any given "row" in chan direction only once. any "row" in 'ev direction may however have several "intersections" with a "row" in tIng direction. [snip] > Now you may argue that such an objection can be overcome by > more precisely defining the length of the basis vectors. And > Klingons are an exact culture. That would be a good argument > for your side. > now you lost me again. what do you think would change with the length of the basis vectors? [snip] > triangles than using Cartesian squares. You get far less > geometric distortion in mapping a globe to a flat surface > using the isonormal system, than in using the system we > presently use. (For an example, take a look at > http://www.bfi.org/map.htm and compare it to a Mercator > projection. > this map doesn't show any coordinate system. and again, I think you are forgetting that "rows" in 'ev or tIng direction are spiraling towards the poles and thus creating the same discontinuity as orthogonal coordinates. (instead of rectangles Klingons have ahm... "diamonds", sorry I forgot the english word for the shape of a tetragon with equal opposite sides but angles different from right ones) [snip] > You make a comment about how it appears “that Klingons do > not have any special sense of orientation to the poles.” > That I think would be detrimental to the culture, and > unrealistic. (Yes, I know we are talking about a fictional > culture. I am not that loony. However, I am the type of guy > who can’t help but nit-pick such things. It is a sickness.) I'm not sure how relevant this point is for your argument, but some native american cultures used the point of sunset and sunrise at the winter and summer turning points as cardinal directions, roughly NE (sunrise in summer), SE (sunrise in winter), SW (sunset in winter) and NW (sunset in summer). they still had a pretty good way of figuring out when to plant and harvest crops. [snip] > > For information, including means of building your own Klin > Zha set, goto http://www.fyi.net/~kordite/klinzha.htm. On > the page http://www.fyi.net/~kordite/takzh/variant.htm it > discusses the means by which one identifies a specific > position on the triangular board. (I found it a rather fun > game, until my son got to the point he could quickly beat me > every time.:) ) > and finally I know what you mean by the "two triangles in each intersection" above... might have helped to cite that page earlier :) note however, that each _point_ is uniquely identified by two coordinates. for the sake of simplicity replace the letters I..A with numbers 1..9 and assume that they label not the "row" but its upper borderline, and assume that the original numbers label the "left" borderline. the midpoint of E-38 is at (4.67;3.33), the midpoint of E-37 is at (4.33;3.67). coordinates do not label areas, they label points. of course we don't know how Klingons do coordinates, as has been pointed out already. but certainly the use of chan and either or both of 'ev and tIng is not so far out. Marc Ruehlaender aka HomDoq [email protected]

**Follow-Ups**:**Re: cardinal directions***From:*Ben Gibson <[email protected]>

- Prev by Date:
**RE: KLBC: tuv'el mu'tlheghmey QIp** - Next by Date:
**Re: jIleng** - Prev by thread:
**Re: cardinal directions** - Next by thread:
**Re: cardinal directions** - Index(es):