Hi Roger ... It is interesting that the relaxed duals work in the cases where the nearest point on each face to the polyhedron centre has to move to a...
Hi Adrian, ... The first 3, T1(1), T1(2), T1(3), are all isomers of the dual of the truncated octahedron. T2(1) is the dual of the truncated tetrahedron. In...
Adrian Shephard claims to have used a similar method to list all of the isohedral Rhombihedra. His list matched the ones I came up with (one you removed the ...
Hi Roger ... Maybe it fails by having coincident faces ... I was wondering about the individual components. Assuming the conjecture then the question could...
Hi Jim ... I looked at your page. The problem is slightly different as the angles are allowed to vary. Your examples all have a rhombus diagonal perpendicular...
Hi Adrian, ... Skilling's list goes by Wythoff symbol. The symbol for a prism is 2 <N> | 2. The only place this is listed in in UC20 and those are alined by...
Hi Jim, ... This would be another interesting one. Do you trust that you've found them all!? I would be interested in the compounds. It seems likely that all...
Hi Roger ... It might be possible to repair it, but it might be easier to avoid the situation. For example, if you took an {8/3} and a couple of squares and...
Hi Adrian, ... Well, there are two situations easily available in iso_delta. One of them is repeating the individual triangle. Ultimately, we have a solid that...
Hi Jim and Adrian, ... It appears the paper may have needed updating as well, as I have found a couple not on the Isohedral Rhombihedra page. (Jim, I sent...
Adrian and Roger Hi. Yes I am online (from Thailand) but quite pushed for time this week, which is why my responses have been a bit sporadic. Should be better...
Hi Roger ... Each of the Schwarz triangles belongs to a lowest symmetry. Perhaps if you repeated the triangle in the lowest symmetry then it would make the...
Hi Roger ... The first one you found also has a "perpendicular diagonal". I put a tiling frame around it. http://www.antiprism.com/misc/rh1_frame.wrl You can...
Hi Adrian, ... The reason I do sort_merge on the final product is because they always have duplicate faces. This is expected when I contruct from the ...
Hi Roger ... This is what I was describing here http://tech.groups.yahoo.com/group/antiprism/message/1341 I need to add this in (it is high on the list!) ...
Hi Adrian, ... OK. If this modifies the main loop of poly_kscope I will have to copy that in. Since I copied this loop, maybe it should be in the library ...
Hi Jim and Adrian, I sent another note to Branko as a reminder. If I don't get a reply now he simply may not be available. ... I like this frame as it helps...
Hi Roger ... It will be available as a library function. The basic symmetry repeat loop is a function in the current development version. It should be mostly...
Hi Roger ... This was straightforward to write (using set_difference from the STL), and works fine on the compound of five tetrahedra. I should be able to send...
Hi Jim ... Sounds nice! ... There appear to be spherical quadrilaterals whose edges lie on mirror planes but which can't be divided into two isosceles ...
Hi Roger ... I have included the functions in an example program below. Hopefully it is fairly clear what they are doing. sym_min sets up a minimal set of...
Hi Roger ... A bit more explanation might help. The polyhedron component is aligned with its symmetry type. "pos" is the transformation that moves it into...
Hi Roger ... I may add the framing to Antiview after adding symmetry detection. I could make it exportable. I made this frame with something like pol_recip...
Hi Adrian, ... My function looks like this. I didn't need to do a translation or rotation and in fact moves the tetrahedra out from the origin and makes an...
Hi Roger ... That is right. There was nothing special about the values. They were just test values to show that it would work with translations as well as...
Hi Adrian, Case d (6 octahedra) had no problem but I think it is because the prime unit (of 2 octahedra) is aligned with the Y-axis. This works even at angle...
Hi Roger ... The transformation matrices are initialised to the unit matrix, so they just do nothing if you use them. ... I don't have the make_poly function...
Hi Adrian, ... I haven't had time to look at it more yet. I will try the things you suggested. I forgot it calls make_poly. Here is that code, probably more...
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