Let us build up in cubes the four different arrangements of the tessaracts according as they enter our space on their Mala, Vesper, Pluvium or Lar sides. They can only be printed by symbolizing two of the directions. In the following tabulations the directions Y, X will at once be understood. The direction Z (expressed by the wavy line) indicates that the floors of nine, each printed nearer the top of the page, lie above those printed nearer the bottom of it. The direction W is indicated by the dotted line, which shows that the floors of nine lying to the left or right are in the W direction (Ana) or the -W direction (Kata) from those which lie to the right or left. For instance, in the arrangement of the tessaracts, as Malas (Table A) the tessaract Tessara, which is exactly in the middle of the eighty-one tessaracts has Domitor on its right side or in the X direction. Ocrea on its left „ „ -X „ Glans away from us „ „ Y „ Cudo nearer to us „ „ -Y „ Sacerdos above it „ „ Z „ Cura below it „ „ -Z „ Lacerta in the Ana or W „ Pallor in the Kata or -W „ Similarly Cervix lies in the Ana or W direction from Urna, with Thyrsus between them. And to take one more instance, a journey from Saltus to Arcus would be made by travelling Y to Remus, thence -X to Sector, thence Z to Mars, and finally W to Arcus. A line from Saltus to Arcus is therefore a diagonal of the set of 81 tessaracts, because the full length of its side has been traversed in each of the four directions to reach one from the other, _i.e._ Saltus to Remus, Remus to Sector, Sector to Mars, Mars to Arcus. TABLE A. Mala presentation of 81 Tessaracts. Z W------------------------------------------------------- -W | | Y Y Y | | | | | | Block A | Block B | Block C | | | | | +---------------X +---------------X +---------------X | | Y Y Y | | | | | | Block D | Block E | Block F | | | | | +---------------X +---------------X +---------------X | | Y Y Y | | | | | | Block G | Block H | Block I | | | | | +---------------X +---------------X +---------------X -Z Block A: Arcus Ovis Portio Laurus Tigris Segmen Axis Troja Aries Block B: Ara Vomer Pluma Praeda Sacerdos Hydra Cortex Mica Flagellum