3-bit Walsh permutation/ortho/comet

This page shows essentially the same information as the parent page. But the example object used is simpler than the JF compound.
It is basically a cube with face colors corresponding to the coordinate axes. Details in white and gold are added to make sure the object has no symmetry.
This layout makes some relationships easier to see. (It is hard to see where this and that belongs, but easy to see where this and that belongs.)
But it obfuscates the mirroring of back and front. (It is easy to see how this and that are related, but hard to see how this and that are related.)

The JF layout on the parent page
19 different shapes
Contents
60 based on 12 squares
12 squares
24 simple parallelograms of type 1
24 simple parallelograms of type 2
48 based on 12 rectangles   (both comet colors)
12 rectangles
12 wide parallelograms (type 1)
12 long parallelograms (type 1)
12 hexagons (type 2)
144 based on 24 rectangles   (one comet color)
24 rectangles
24 wide parallelograms (type 2)
48 long parallelograms (types 1 and 2)
48 hexagons (types 1 and 2)


There are 252 different orthographic projections. They form 63 groups of four, that look similar. They are all shown below.
Within such a group, each image has a reflection at the antidiagonal and a reflection of back and front.

Some images also have horizontally or vertically mirrored equivalents. And a few have all eight rotations and reflections in the symmetry group of the square.
(These are all in the third section. The former in 24 rectangles and 48 long parallelograms, the latter in 48 hexagons.)


rect h
rect h
par long 1h
par long 2h
par long 2v
rect v
par long 1v
rect v
hex 2b
hex 1b
hex 1a
hex 2a
hex 2a
hex 1a
hex 1b
hex 2b


60 based on 12 squares

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12 squares
100  


24 simple parallelograms of type 1
100  


24 simple parallelograms of type 2
100  


48 based on 12 rectangles   (both comet colors)

edit
 
   
 
 
     
 
 

12 rectangles
110  


12 wide parallelograms (type 1)
110  


12 long parallelograms (type 1)
110  


12 hexagons (type 2)
!..  


144 based on 24 rectangles   (one comet color)

edit
     
 
     
 

24 rectangles
110
foo  


24 wide parallelograms (type 2)
110 foo  


48 long parallelograms (types 1 and 2)
110 <
type 1   foo  


48 hexagons (types 1 and 2)
!..
type 1   spam