... Hi Adrian: Thanks for posting that table. I am having some trouble understanding it in total, although parts are making sense to me. I will keep working on...
Hi dharmraj ... The table has four boxes, each with two volume entries. Each box corresponds to a polyhedron of a particular size, and the two entries give the...
Hi Adrian, ... When I was trying examples I went straight to -l 1 (one). However this causes more problems than it solves. A good value to use ended up being...
Adrian, ... Don't you mean a tetrahedron of edge length sqrt 2 ? A tet of edge 2 has a volume of 0.942809 [ times 1.06066 = 1 ] A tet of edge sqrt 2 has...
Hi Roger ... It is good that it turned out to be something like this, and not something more to do with the algorithm. I'll pick up the change. All being well...
Hi Steve ... You are thinking of Cartesian length. The Cartesian unit cube has a face diagonal of length sqrt(2) in the Cartesian system, but this same...
Hi Adrian, ... I don't have any more changes in the near term. I was looking at pyramids and the icosahedron. I took the icosahedron in the default position...
Adrian and dharmraj, re - Adrian's S vs C chart/wording So, you are saying that a Cartesian edge length of 1, does not equal a Synergetic edge length of 1 ? A...
Hi Adrian, A couple of years ago I made a web page on this subject. It was a way to produce the size of anti-dipyramid which would be of the correct size that...
Hi Adrian, ... I remember how I did this now. I took the pyramid I wanted to act on and excavated both sides of a regular antiprism of the same N. I would do...
Hi Roger ... If the polygon is a {n/m} the ratio of heights is antiprism height : pyramid height = (1-cos(PI*m/n))/cos(PI*m/n) = sec(PI*m/n)-1 I have adapted...
Adrian ... Hi Adrian: I agree that a tetrahedron with edge length 1 has a volume of 1/sqrt(72). Here is why. A cube with edge .707 embeds a tetrahedron of edge...
Hi Steve ... Yes, in the sense that these wouldn't be length values for the same edge. ... sqrt(2) ... 1/sqrt(2) ... 1 ... It isn't my concept, it is just my...
Hi dharmraj ... You have switched to Synergetics length units without applying a conversion. A tetrahedron with Cartesian edge length 1 has a Synergetics edge...
http://groups.yahoo.com/group/synergeo/message/60714 You are measuring along the mid-face (average between vertex and opposite edge) of the triangular face of...
Adrian, However, having labeled the grids "even" and "odd" you can set up a Cartesian coordinate system so that the even grid has vertices having all even...
Hi Steve ... Having "scaled" the points does that mean that the even grid has vertices with all even coordinates and the odd grid has vertices with all odd...
Hi Adrian, ... I was surprised this turned out to be such a short equation! I've always thought these to be rather important polyhedra as they have one type of...
Adrian, Having "scaled" the points does that mean that the even grid has vertices with all even coordinates and the odd grid has vertices with all odd...
dharmraj ... adrian ... Hi: Thanks. I get it. In a way that answers a puzzle going on in my thinking as to how we would know what cube is in which system. I am...
dharmraj ... Hi: Just an added thought here. I have always been looking at my graphics and seeing a cube grid which I assumed was the XYZ/Cartesian system. ...
Hi Roger ... It doesn't seem so easy to obtain particular edge lengths, heights, etc, when making them as the reciprocal of an antiprism. However, it may be...
Hi dharmraj ... The general situation is that there is a space, in this case Euclidean space, and systems are set up for addressing objects in that space....
Hi Adrian, ... I was going to look to see what relation there might be between an antiprism and it's reciprocal. But having to calculate the shape of an...
Hi Adrian, I found this page on the Truncated trapezohedron. http://en.wikipedia.org/wiki/Truncated_trapezohedron The pentagonal one is an augmented...
Hi Adrian, ... I forgot to add that conway can make the dodecahedron from the script result, but the edges are not 1/Phi due to canonicalization. However it is...
Hi Adrian, ... I just found this. To complicate the naming even more, the particular type of trapezohedron the script makes is called a "Streptohedron". In the...
