Here's a good way to impliment the remove vertices feature:

left click on vertex - removes vertex, finds convex hull of remaining verts

right click on vertex - highlights vertex to allow many to be removed at same time

left click on vertex after several are highlighted - removes vertex and all ...

The potential "generate polychoron/polyhedron from vertices" feature could also use a set of selected vertices from a model as well as an OFF file - lets say I wanted to generate the heptachoron - a step tegum, I could load up the 7-7 duoprism, select the correct 7 vertices - then activate the ...

Here's an idea of how to make this work (haven't tried it yet though), save the nets as a BMP, then use a photo manipulation program to move the nets around for best paper use.

The cuboctahedron might be a good choice, its vertex figure is a rectangle which consists of two L's - the L move is a nights move. Oh by the way, hope ya'll had a good May 4th, and "May the Fourth be with you"

That graphic was a lot of fun to make too, let me know if you want the .stel file. The vertex grab idea would be perfect for this, make sure that mouse inertia is included so we can watch the rotations in action - a good name for this feature might be "kaleidoscope" - any chance it could be used on ...

Whew! - pulled an all nighter on this graphic - it helps shows how grombate rotation would work - notice that the truncate and rhombate rotations are sub-sets - I also went full 360 degrees, so each polyhedron shows up twice on opposite sides of each other - here are two views:

http://www.polytope ...

When I first started exploring polychora back in 1990, all I had was a pen and some paper - and therefore the best graphics I could play with were some hand drawn vertex figures and some sections of the simpler ones. Now only 18 years later, we have Stella4D - which can view all known uniform ...

We can think of the great rhombation in the following way, if we move the corner along the edge - it would mimic the truncation feature, if we go between the edges (towards the square face in the cube) it would mimic rhombation, in between we would find various gircoes, where the center has regular ...

Recently I investigated the verfs of two of the blends, I picked one to be orientable but with a 0-density region, and the other one to be non-orientable with a region inside which "seemed" to act as a density 2 region - after manipulating them I was able to find a way to expose each internal region ...

Many years ago I played with something that I call "truncation rotation" - see the following pic:

http://www.polytope.net/hedrondude/TRROTATE.JPG

What it does is start with a polyhedron and truncate it through many forms which will then cycle back to the begining - in the above example we start ...

robertw wrote:

Jabe wrote:I voted for the third one.

You sure? That's the one I voted for, but it only shows one vote

Oops, must a pushed the wrong button, glad it didn't have a mine - but then again I liked the first one a lot too.

Actually filling in the gad cells completely would be like filling in the octagrams of groh completely (which we do when making models)

We normally do fill it in, that's true, and you're right that we could consider them membranes. But a cross-section should then still show the regions below them ...

That was a hard vote, I liked all three nearly the same. I like the first one due to the enneagons, the second one due to its attractive shape, the third one for its challenge, I voted for the third one. I also noticed that the polyhedra won't spin like they used to (I like to spin them real fast ...

For the problem with this, see example in my post above. The polyhedron is non-orientable, but the cross-section, a pentagram, is orientable. If I fill the pentagram's centre, then the cross-section would be incorrect, since the polyhedron has a hole there.

I presume the same error could occur in ...

One possible idea for filling a polychoron's sections would be to fill it's cells according to their orientability as opposed to the orientability of the polychoron itself, for instance - if it has giddies and gads within it, fill the giddies like they are non orientable, and the gads like they are ...