Hinton - The Fourth Dimension.pdf

REMARKS ON THE FIGURES 201
sections of the successive planes into which we analyse
the cutting space would be a tetrahedron of the description
shown (fig. 123) and the whole interior of the tetrahedron
would be light brown.
n.y.
or.
l. y.
n.r.
och. l. pur.
x
Null
pir.
l. bl.
n.b.
n.y.
l. y.
n.r.
br.
l. gr.
l. bl.
x
Null
Front view The rear faces.
Fig. 127.
In fig. 127 the tetrahedron is represented by means of
its faces as two triangles which meet in the p. line, and
two rear triangles which join on to them, the diagonal
of the pink face being supposed to run vertically
upward.
We have now reached a natural termination. The
reader may pursue the subject in further detail, but will
find no essential novelty. I conclude with an indication
as to the manner in which figures previously given may
be used in determining sections by the method developed
above.
Applying this method to the tesseract, as represented
in Chapter IX., sections made by a space cutting the axes
equidistantly at any distance can be drawn, and also the
sections of tesseracts arranged in a block.
If we drawn a plane, cutting all four axes at a point
six units distance from null, we have a slanting space.
This space cuts the red, white, yellow axes in the
or.
pur.
n.b.