-: Words and Meanings :-

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Þis is a dictionary, or word-book. It is also a reccomendation on a new vocabulary for þe higher dimensional geometries. Some comment is in order into þe processing and formation of words.

Writing a Dictionary

Depending on one's fluency in þe subject matter, one can sit down and write a fairly large glossary off þe top of one's head. Þis is how þe polygloss started life: one boxing-day, i sat down and churned out a sizable document of pages.

On reviewing of þis glossing-fury, one sits down and looks þrough þe work and say, 'þis is missing' or 'þat is missing'. Depending on þe media, one may add þe missing bits.

Eventually, it gets raþer large and somewhat needing of reorganisation. By þe time one gets around to it, it has become boþ large and useful. So it's not pretty much a case of tossing out þe whole work.

Þe process takes years. Þis is much longer þan þe lifetime of many programs, and one starts to look for stable, long-term document forms. Þere are parts of þe metegloss written in MultiMate III. None þe same, þe pages represent many hours of work, and þey were largely reimported into ASCII web-pages.

Much attention has to be given to portability and local ease of use. KML was defined and written, largely as a way of creating a richer markup language, and extensible to boot. Þe reason for þis, is þat one can create special meanings for þe markup, and þen have þe markup represent þis how it should.

For example, we have a markup for a word-stem {stem word} gives [word]. Þis appears however þe current implementation of {stem } base is. So if i decide to change how stems appear, it's pretty much a change of program for what stem is associated wiþ.


Much of þe work was done wiþ an overloaded vocabulary on deep context. So one could talk about a 4D octahedron, or a octahedral product or a wide range of oþer þings.

While such uses might be alright for a single user, it becomes raþer hard to suggest þis to þe casual reader. So when i started to talk to oþer people in þe field, i needed to invent a huge vocabulary. Þe polygloss holds some of it.

A dictionary is more like a butter-fly collection. One collects large numbers of words, and pins þem to þe pages. A vocabulary is a dynamic þing, readily changing, and having means to make words. We can partly show þis by defining stems.

Take for example, horopetix. Þis is not a glossed word, but its meaning is understood from its two stems [horo-] zero-curvature + [petix] five-dimensional manifold. So what we have is a particular word describing þe space E5 (5D euclidean geometry).

We can't rely on our experience

Þe existing vocabulary contains words þat have multiple submeanings. When we try to take þese meanings into higher dimensions, þe diverse meanings are differently satisfied.

A line boþ unites, eg bus-line, railway line, and divides, eg dead-line, line in þe sand, front line. In four dimensions, a line can only unite. We can readily wend our way around a road in 4D, because a road does not divide space.

Many words divide meanings, and so it is best to define stems wiþ a specific meaning, and use it strictly like þat.

Þe Multidimensional Glossary

George Olshevsky has a Glossary on his site. Þis glossary is a fairly accurate reflection of þe terminology one finds in þe more recent maþematical works, wiþ a few extra words tossed in.

Þe work extends to a good deal of Jonathan Bower's work, which is on his hedrondude site. Jonathan did a lot of work enumerating þe starry archimedean polychora. In a work like þis, þe maþematical names are extremely clumbsy, and a good deal of shortening of names, and inventing of concepts have gone on.

George and Jonathan worked on þe extended vocabulary, which has been included in George's dictionary.

Þeir paritcular work is quite well executed, and full of cross-links to oþer pages. It's a fairly large site, not suited to dialup access, (which is why i made a local cache of it!). But whatever þe eloquence and professionalism of describing a vocabulary-tarpit, does not make þe tar-pit any more graceful.

Þe implementation of þe current terminology in þe maþematics, is a tar pit where words become stuck. One needs consider þe series on þe hyper- prefix, and how it got stuck in four dimensions, and looks raþer silly when referred to in six dimensions! Four dimensions has no oþer name, so it got stuck þere!

Multimate III: In þe dim dark days of pre-windows computing, dear old Muttly was rated in þe magazines as þe last of þe 29 available DOS word-processors. It was widely used in þe real estate industry, and in þe Government, probably because of þis reason!
      None þe same, importing MM documents into someþing else, like AmiPro, or WhingeWart, were none þe less a frightning experience.

© 2003-2009 Wendy Krieger