I succeeded to build this last Howard model and indeed the second axiom for the projective geometry is s-denied. I read more messages and I hope I understood a...
Checking the first counter axiom, as suggested by Chong, I found out that it is s-denied on this model!<br>I think I am right:<br>if we take a point say A1 on ...
PS: the previous message was sent to me by email by Mike Antholy, but I posted it. Please give all the credit to him.<br><br>I agree with him, but am waiting...
What Mike says looks right to me.<br><br>We don't really have a definition for s-lines near boundaries. In all of the models I describe, I always assume that ...
As a understand we need s-lines of 2, 1, or zero points (imaginary lines? or lines at infinite?) to s-deny the thrid projective axiom. How then to build a...
<<As a understand we need s-lines of 2, 1, or zero points (imaginary lines? or lines at infinite?) to s-deny the thrid projective axiom. How then to ...
< <<As a understand we need s-lines of 2, 1, or zero points (imaginary lines? or lines at infinite?) to s-deny the thrid projective axiom. How then to...
I have posted a picture for the counter-projective model I was describing earlier, except I have added two elliptic vertices to allow a more thorough ...
Yes, I checked this Howard model too and it works.<br>It is a model for an s-counter projective geometry.<br><br><<Finally, Axiom III is violated by...
<<However, what about s-lines with no point at all?<br>Would they be called imaginary lines?<br>Would it be possible to define an s-line at infinite? ...
<<A finite model with boundary, the boundary to be an s-line at infinite, or s-line with no point? <br>chonghulai>><br><br>I am not sure if it's...
<<A finite model with boundary, the boundary to be an s-line at infinite, or<br> s-line with no point? <br> chonghulai>><br><br>Copying Jean, or...
<<Copying Jean, or extending him, I guess one can construct a model from Howard's models in the following way:<br>Let's consider the first SILO, and cut ...
<<<Copying Jean, or extending him, I guess one can construct a model from Howard's models in the following way:<br>Let's consider the first SILO, and...
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the smarandachegeometries group. File :...
smarandachegeometries...
Mar 23, 2002 9:53 pm
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Howard's book "Smarandache Manifolds" can be downloaded at http://www.gallup.unm.edu/~smarandache/Iseri-book.pdf...
I updated the web site on Smarandache Geometry at: http://www.gallup.unm.edu/~smarandache/geometries.htm and now Professor Howard Iseri's book "Smarandache...
It seems to me that any reasonable generalization of an s-manifold to higher dimension would be equivalent to the spaces studied using polyhedral metrics. I...
... to ... What about using spherical triangles, would it get an s-spaced curved? Following Howard's models of using flat (plane) triangles, let's use ...
First of all I want to congratulate Howard for his book. I downloaded it and showed it to some people here in India. ... to ... That looks inciting... I don't...
... to ... What do you mean by polyhedral metrics? I have an idea, but I am not sure. Maybe instead of triangles for 2D using polyhedra for 3D to construct a...
I also first want to thank Howard for citing in his book the club, now transformed into a group by Yahoo server as Yahoo did with all other clubs, and for...
... curved? ... use ... This is an interesting idea. One thought comes to mind. In an s- manifold, which is flat everywhere except at the vertices, we get ...
... I have found references to polyhedral metrics that seem to be defined on spaces similar to our s-manifolds, except instead of equilateral triangles, any...
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