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Hinton - The Fourth Dimension.pdf

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264<br />

THE FOURTH DIMENSION<br />

the hypersolid of the tesseract. <strong>The</strong>se names have the<br />

advantage over the colour marks that each point, line, etc.,<br />

has its own individual name.<br />

In the diagrams I give the names corresponding to<br />

the positions shown in the coloured plate or described on<br />

p. 174. By comparing cubes 1, 2, 3 with the first row of<br />

cubes in the coloured plate, the systematic names of each<br />

of the points, lines, faces, etc., can be determined. <strong>The</strong><br />

asterisk shows the origin from which the names run.<br />

<strong>The</strong>se point, line, face, etc. names should be used in<br />

connection with the corresponding colours. <strong>The</strong> names<br />

should call up coloured images of the parts named in their<br />

right connection.<br />

It is found that a certain abbreviation adds vividness<br />

of distinction to these names. If the final “en” be dropped<br />

wherever it occurs the system is improved. Thus instead<br />

of “senen,” “seten,” “selen,” it is preferable to abbreviate<br />

to “sen,” “set,” “sel,” and also use “san,” “sin” for<br />

“sanen,” “sinen.”<br />

Selen<br />

or Sel<br />

Seten<br />

or Set<br />

Senen<br />

or Sen<br />

*<br />

Selan<br />

Setan<br />

Senan<br />

1 2 3<br />

Selet Selel<br />

Selat<br />

Selin Selil<br />

Selit<br />

Setin<br />

Setet<br />

Setit<br />

SenetSenel<br />

Senat<br />

Setel<br />

Selal<br />

Senin Senil<br />

Senit<br />

Setal<br />

Senal<br />

Setil<br />

Salen<br />

or Sal<br />

Saten<br />

or Sat<br />

Salan<br />

Satan<br />

Sanan<br />

Sanen<br />

or San<br />

Salet Salel<br />

Salat<br />

Salin Salil<br />

Salit<br />

Satin<br />

Satet<br />

Satit<br />

Sanet Sanel<br />

Sanat<br />

Satel<br />

Salal<br />

Sanin Sanil<br />

Sanit<br />

Satal<br />

Sanal<br />

Satil<br />

Silen<br />

or Sil<br />

Siten<br />

or Sit<br />

Sinen<br />

or Sin<br />

Silan<br />

Sitan<br />

Sinan<br />

Silat<br />

Silin Silil<br />

Salit<br />

Sitin<br />

Sitet<br />

Sitit<br />

Sinet Sinel<br />

Sinat<br />

Silel<br />

Sitel<br />

Silal<br />

Sinin Sinil<br />

Sinit<br />

Interior Setat Interior Satat Interior Sitat<br />

Sital<br />

Sinal<br />

Sitil

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