More to ponder, care of Anton. And Steve W. Dick ... __________________________________ Do you Yahoo!? Yahoo! Calendar - Free online calendar with sync to...
... Are you guys, can see that all the bricks contain that unit edge length. The shortest edge of any of these irregulars in this case is 7cm or 2 3/4 of a...
These are also structures made by the octanes strickly, there is also a another ring somewhat rearanged. To complete the circle it takes 48 shapes same # as it...
Frank wrote, in part: "These are also structures made by the octanes strickly,...." Is the image of the pentagonal arrangement intended as a belated April...
... my set. What it is have to do me being aware of something. All these shapes are identical in appearance all these shapes are 1/2 octahedron. Q. stated that...
... April Fools day joke? It doesn't seem possible that you are not aware of the distinction between 72 degrees, 1/5th of 360 degrees, and 70.53 degrees, the...
How could the picture be wrong? It looks like 4x5=20 octanes, each set of 4 organized as half a regular octahedron. The 5 half octahedrons are arranged around...
... that ... http://groups.yahoo.com/group/GeoJourney/message/1270 ... Braley tries to convince me that, there should be a gap, but only gap there bee if I...
Frank Zubek wrote, in part: "Braley tries to convince me that, there should be a gap, but only gap there bee if I would place a reg. tet. on the concave...
... Since this particular cad drawing was a tough one for me, there was one area I had to "eyeball" and I think this is where my .0823 gap differs from Johns...
I still would ... John, as you see my polyhedra is hand made, so the precision is about 98% I would guess. The final sanding is done on the mirror surface,...
... demonstrating why there isn't a gap. Perhaps you are to be applauded for resolutely sticking to geometry by assertion, but I still would like to see some...
Hi Jim ... You measured the angle along the edges of the two octahedra rather than in the plane that cuts through the centre of all the octahedra. Adrian. -- ...
Hi Frank ... I'm not sure what you mean by 98% precision but 7 degrees is within 2% of 360 degrees. Does that mean that your polyhedra are not accurate enough...
Hi Adrian, Thank you for making clear the slice required for the angle info. The attached graphic shows this slice and the angle now corresponds with Alan's ...
Hi Jim ... The triangle containing the angle and the gap is an isosceles triangle with two lengths of sqrt(3)/2 and the angle of 7.3561 deg between them. Half...
I think the angle you are discussing is directly related to the cos of 1/3. The value for the cos of 1/3 comes to approximately 70.5287793324 degrees. So,...
Hi Steve ... [arc cos 1/3] You can show this through the cosine rule - Cos A = (b^2 + c^2 - a^2) / 2bc Cutting through an octahedron with side 2 gives an...
Adrian, Nice mathematical confirmation for the cos of 1/3, thanks for that. I had not thought of your method before this at all. I am not sure, however about...
Hi Steve ... The angle isn't measured between two edges (this was the first, smaller, angle that Jim gave) but in the plane of a central cut through the ...
New scientific claism as to speed of gravity. It is my contention and implied by Fuller that gravity(gravitons) are faster than radiation. If the following...
Adrian, Agreed that the hypotenuse of the face of a unit edge is (root 3) / 2. This is not the hypotnuse that I am going for though. I am referring to the...
Steve, you seem to making the same mistake Jim made..... but in reverse. For your calculation, with hypotenuse of 1, you want to work from the angle Jim came...
John, John Braley wrote - Steve, you seem to making the same mistake Jim made..... but in reverse. For your calculation, with hypotenuse of 1, you want to work...
... John Braley, Very nice job on the SpringDance graphics! Very clear. It's nice to see that others have those old musty gap based basement octas. My latest...
Jim or others, i wonder if this 7.35 (.11111) gap is the angle of gap found on my 8-Universal Overlapping Icosahedra in cubic-like alignment betwween the...
John, Thanks for sending along your photos re work of some 30 years ago, as well as the new page for the octapents and those eig files.. I just made my own...
