What if I place the vertices and edges like this: *1 * 2 * 3 *4 *5 i.e. there is an arrowhead formed by 2,3,4,5 and 1 flanks one side of...
43
berglunddj@...
berglunddj
Sep 10, 2002 11:03 am
Hi, In a message dated 9/9/2002 1:37:02 PM Central Daylight Time, ... You will be given a certain number n for the polygon. You will place non-colinear points...
42
Jon Perry
jon_perryuk
Sep 9, 2002 6:35 pm
Can someone explain the Happy End problem to me? http://mathworld.wolfram.com/HappyEndProblem.html Are there rules as to how a graph can be constructed? Jon...
41
Jon Perry
jon_perryuk
Sep 8, 2002 8:59 pm
Can a graph ever possess the property that the shortest path doesn't contain the shortest line segment, and also that the the longest path doesn't contain the...
40
Jon Perry
jon_perryuk
Sep 8, 2002 6:30 pm
... interesting. I hadn't noticed that this is a restricted form of the traveling salesman problem where we are trying to maximize lengths instead. I don't...
39
berglunddj@...
berglunddj
Sep 8, 2002 12:12 pm
Hi, I did some more thinking on the general problem of the longest circuit of the vertices of a brick. Say that the h*w*d brick has two of its vertices at...
38
Jon Perry
jon_perryuk
Sep 8, 2002 11:35 am
... longest ... I found a counter-example: http://www.users.globalnet.co.uk/~perry/maths/longestpath/longestpath.htm Jon Perry perry@... ...
37
Jon Perry
jon_perryuk
Sep 6, 2002 7:29 pm
Both answers so far are correct - keep up the good work. Here's another conjecture: Does every longest path in n-dimensional space necessary include the...
36
Edward Moore
emoore06905
Sep 5, 2002 5:36 pm
As far as further dimensions go with the cube (hypercube), I would think the form stands. When dimension is 3, the formula is MaxLength = 2^(D-1) * ((sqrt(D)...
35
berglunddj@...
berglunddj
Sep 5, 2002 12:14 pm
Welcome Jon, In a message dated 9/4/2002 3:29:03 PM Central Daylight Time, ... I'm assuming that you want to visit all 8 vertices and return home. Let's take...
34
Jon Perry
jon_perryuk
Sep 4, 2002 8:28 pm
As a newbie to this list, I would like to ask a question: Given a cube, a path is defined as starting at a point, and we travel to another point. We are only...
For those interested in tiling and tesselation of the plane, there is a gallery of new tilings created with a java applet called Tyler. I have a few of my...
31
rom budhi
rhsbudhi
Jun 20, 2002 3:06 am
... Do You Yahoo!? Sign-up for Video Highlights of 2002 FIFA World Cup...
30
robstrange
robstrange66
Jun 1, 2002 10:24 am
Try this link - http://mathworld.wolfram.com/topics/Geometry.html . Rob http://www.astro-logix.com ... From: dial282000 To: polytopia@yahoogroups.com Sent:...
29
dial282000
Jun 1, 2002 12:57 am
Where would be a good site to learn about geometry on a very elementary level?...
28
emotionaljourney22
emotionaljou...
May 29, 2002 9:41 pm
... classed as "fractals";. ... i don't see any fractal qualities in any of those, but i may be missing something . . . fractal implies that a small part...
27
emotionaljourney22
emotionaljou...
May 29, 2002 9:39 pm
... oh yeah . . . i've spent countless hours perusing it . . . it turns out clifford algebras (one of tony's main themes) are useful in music theory, someday...
26
Rob Strange
robstrange66
May 29, 2002 11:54 am
Hi - I'm involved in a debate as to whether some of my animations can be classed as "fractals";. Some of them can be seen at...
25
dan duddy
polychoron
May 25, 2002 4:14 am
http://www.innerx.net/personal/tsmith/ this is the most insane website i have ever seen. something for all mathematicians,geometers,physicists, and...
24
dan duddy
polychoron
May 19, 2002 10:14 pm
hey, every one should check out this java applet called Tyler (2d plane tesselation) http://www.superliminal.com/geometry/tiler/Tiler.htm and please look...
23
Ivan Bestchastnikh
bestchai
May 19, 2002 2:26 am
These are simple and very demonstrative of the underlying theorems. Interesting visual proofs. http://www.ies.co.jp/math/products/geo1/menu.html ...
22
polychoron
May 18, 2002 4:19 am
ok i promised links for anyone who joined from the omnitribe list so here is one of the best. - The Geometry Junkyard ...
21
Rob Strange
robstrange66
May 16, 2002 9:12 pm
Hi - this is an new style of animation I'm doing - http://www.astro-logix.com/spinning_octahedral_zoom - more to follow. Rob http://www.astro-logix.com...
20
robstrange
robstrange66
May 10, 2002 6:31 pm
Here is a .gif showing all five Platonics...(can also be seen at http://www.astro-logix.com/animations ) Rob http://www.astro-logix.com...
19
berglunddj
May 10, 2002 1:52 am
Hi all, Yesterday in class I taught the students how to make flexagons. We did the tri-hexa-flexagon, and I showed them the hexa-hexa-flexagon. This got me on...
18
mungo23
May 9, 2002 11:32 pm
Hi, Rob-- Yeah--I think just about everyone here is interested in the things you mention. The subject has fascinated me for more than 40 years. I'm in the...
17
polytopia@yahoogroups...
May 9, 2002 7:07 pm
Enter your vote today! A new poll has been created for the polytopia group: What is the most evil looking star polygon? o {5/2} pentagram o {7/2} heptagram o...
16
polychoron
May 9, 2002 7:00 pm
check out this fun plane tiling applet at http://www.superliminal.com/geometry/tiler/Tiler.htm post any interesting tesselations here. -DNA...
14
robstrange66
May 9, 2002 11:05 am
Hi- I am very interested in 3D geometry. Anyone here study Platonic solids, polyhedra, etc? Regards, Rob...
