Hi all, Un-attach the attachment and give the Earthling a spin....
1832
Christopher Young
c56young
Oct 15, 2011 10:04 pm
... Looks great! I just used "a" as the slider variable to be able to animate it. And I made tubes out of the edges. ... As I said, amazing work! These are...
1833
arthur.lawrence@...
artplot101
Oct 19, 2011 5:42 am
This takes awhile to get up to speed, at least on my computer and Norten tells me the processor is being squeezed!...
1834
Christopher Young
c56young
Oct 19, 2011 6:37 am
Have installed it on my dashboard, thanks! I guess the formula means that what we're looking at in the right pane is the inverse function, exp( ) something. ...
1835
ryando5627
Jan 27, 2012 10:42 pm
I'm trying to figure out how to use pi for the axis instead of integers. Can it be done?...
1836
Christopher Young
c56young
Jan 30, 2012 9:43 am
... If you hide the axes, you'll just see the custom made ones: Here's a file that can be used as a template for any time you want the x-axis to be labeled in...
1837
Beth Hentges
bethhentges
Jan 31, 2012 2:43 am
Here's another (easier?) method. Beth in MN From: GraphingCalcUsers@yahoogroups.com [mailto:GraphingCalcUsers@yahoogroups.com] On Behalf Of Christopher Young ...
1838
GraphingCalcUsers@yah...
Apr 17, 2012 8:45 pm
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the GraphingCalcUsers group. File : /Fun...
1839
GraphingCalcUsers@yah...
Apr 19, 2012 3:40 am
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the GraphingCalcUsers group. File : /Fun...
1840
Christopher Young
c56young
Apr 21, 2012 8:42 am
Thanks for another interesting complex plot, Art. Only one problem: the buttons at the bottom, for axes and the like, are showing up empty. Chris...
1841
GraphingCalcUsers@yah...
Apr 21, 2012 9:40 pm
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the GraphingCalcUsers group. File :...
1842
Ron Avitzur
rxa31107
Apr 22, 2012 4:08 pm
Hello, The bug with the buttons was introduced by Apple in the 10.7.3 System Update. I'll have a patch to fix that shortly if Apple does not correct it in...
1843
David Craig
dcraigx
Apr 25, 2012 10:13 pm
I seem to recall that in GC 4 it was now possible to specify a range of values in a set as in e.g. [a,f(a)], a \in {m..n} I think I remember seeing examples...
1844
Ron Avitzur
rxa31107
Apr 25, 2012 10:20 pm
... An example doc is attached. (You can use \in or = interchangeably in this context. {0...10} will set by ones, by default. {0,2,...,8} will step by the...
1845
David Craig
dcraigx
Apr 25, 2012 10:41 pm
... Ah, very good! I tried a variety of control-key combinations, but did not stumble across that one, and could not find it in the help. The second form...
1846
Ron Avitzur
rxa31107
Apr 25, 2012 10:49 pm
... {a, b, ... c} is interpreted as the set starting with a, b, ... and ending at with step size is (b-a). (I'm not sure what it does if a,b,c are not...
1847
David Craig
dcraigx
Apr 25, 2012 10:56 pm
Ron- ... Very good. So what I want would be e.g. {-1,-0.8,...,9}. That works as expected. My quick examples suggests it plots points with step size |b-a|....
1848
Christopher Young
c56young
Jun 12, 2012 9:04 am
This construction yield a proof of the volume formula for a tetrahedron, as 1/3! times the volume of a parallelepiped "spanning the same edges" (I'm not sure...
1849
Christopher Young
c56young
Jun 14, 2012 7:11 am
Construction of parallelepipeds on arbitrary tetrahedra. Permutations are oblique reflections in general case. The cyclic permutations are two consecutive...
1850
Christopher Young
c56young
Jun 14, 2012 7:49 am
The first formula is the most intuitive. It just says to start with B and then travel in the direction from B to its oblique projection onto the xy plane. We...
1851
Christopher Young
c56young
Jun 14, 2012 9:20 am
There is no restriction on the way the points A, B, C, D can be chosen, as far as I can tell. I believe that, geometrically, the construction consists of...
1852
Christopher Young
c56young
Jun 18, 2012 5:18 am
Ron, Thanks for your previous answer; using the regular matrix notation made projections work with the zero vector. Right now, I'm having trouble writing a...
1853
Christopher Young
c56young
Jun 18, 2012 5:46 am
Unfortunately, GC didn't look at the second definition, so I didn't get my inverse triangle. Would it be difficult to have GC keep trying definitions until it...
1854
Christopher Young
c56young
Jun 24, 2012 10:08 am
I'm trying to figure out exactly what the geometric meaning is of all the parameters in 2D homogeneous coordinates. are the two lines through the origin which...
1855
Christopher Young
c56young
Jul 5, 2012 7:20 pm
The algebra here shows the identity of the oblique reflection of I across the diagonal (from origin to I + J) to finding J via the inverse of the...
1856
Christopher Young
c56young
Jul 12, 2012 6:17 am
Interesting how under oblique reflection the inscribed circle becomes an ellipse. The tangent points seem to touch the sides of the triangle at proportional...
I believe the key idea here is that in a triangle (and only in a triangle; not a quadrilateral, say), the areas of the sub-triangles opposite the weights will...
1860
Christopher Young
c56young
Aug 9, 2012 10:09 am
Work in progress towards understanding trilinear coordinates better, in order to understand projective geometry better. This is to illustrate section 23 of the...
