How does one go about visualising geometries in more than three dimensions?
436500
I like to add conceptual dimensions like color, (red, green, and blue each get one) temperature, pitch, volume, etc. Then the nine dimensional origin (0,0,0,0,0,0,0,0,0) would be a point located at the center of the 3-D grid colored 50% grey at zero degrees centigrade exhibiting middle C at zero decibels.\n\nI could also imagine extra dimensions represented in the form of trajectories, but more often than not I am thinking in the terms above.
335338
geometry too? try your damndest, dont EVER give up, kiss ass, lol
274288
Try the links below. The amazing 3d link has all of the things you are looking for
1989
I assume you are talking about vector analysis.  The graphical method would be drawing the vectors head to tail and to scale. and then drawing in the resultant and using your ruler and protractor to measure the displacement and angle.
930907
Very good to see that you sincerely want to develop interest in it and have better knowledge.  Geometry at your level fortunately is very visual (since it is mostly 2-d).  The following link has all the Euclid's Elements along with some cool interactive software.  You only need to go through a small part of it..Just play with the software (drag red dots around etc) and develop a feel for geometry first. At first, skip all proofs; just try to understand the statements (postulates, propositions, etc).  That might get you hooked on geometry.  Once you get a good feel for geometry, mensuration falls into place easily.\n\nhttp://aleph0.clarku.edu/~djoyce/java/elements/elements.html\n\nAlso play with some simple ideas: always think of a parallelogram as two triangles joined. Likewise, any polygon as a bunch of triangles.  Visualize a complex object in terms of simpler, more familiar "building blocks".  \n\nPlay string 'games': take a piece of string,  tie the ends together to form a loop.  Lay it flat on a table.  You can take a few match sticks and push out the string with the sticks tight so that the string looks like a straight line between any two sticks. You can make any number of polygons (triangles with 3 sticks, rectangles, squares, trapezoids, etc 4 sticks and so on, all having the same perimeter. Think of maximizing the area inside the string with 3 sticks: what do you notice about the angles, lengths of sides? How about with 4 sticks? And so on. \n\nRemember, develop visual intuition first. But pictures are not proof! So, you have develop the ability to make precise argumens using axioms and previously proved statements as well.  But that can come later.  Understanding and discovering facts is much more important than proofs (do not take this as advice to skip proofs, though). \n\nOne more thing: after having read a proof, sometimes you feel that you followed every step, but yet you don't "get it".  If that is the case, you have not really understood it.  You have to get to a point where a proof is not ten impossible-to-memorize steps each of which you understand.  And with practice, you can!  Think of biking: A robot may need to 'perform many steps' such as holding the bike, lifting the left foot, resting on a pedal...  Perhaps we learn the first time like that; but at some point it becomes so natural that we stop thinking about the individual steps and concentrate on higher goals.  Same thing with math.\n\nYou learn math primarily by doing. Good teachers, books, and software provide an immense boost in the process -- but they are all secondary to your own involvement.\n\nHope that helps and stay with it!
968458
try sketchup from google..\n\nhttp://sketchup.google.com/\nhttp://sketchup.google.com/3dwarehouse/\n\n...
871162
theres somthing called "graphics pipeline" .. OR  .. "3d graphics pipeline" .. \n\njuzz google about it and ull find n number of links ... theres no point in I bugging about it \n\n:D\nhttp://arnabpal.blogspot.com
1069671
yep...scalars multiply vectors component by component just like you have shown.  you can also show it by plotting out the original vectors, scaling them appropriately, adding them, and finding the resukltant components.
683015
It actually becomes trivial at other dimensions.\n\nConsider 1 dimension, or basically a line. This space can be colored in 2 colors. One just alternates the two colors on the line.\n\nConsider 3 dimensions, or our normal space. Imagine a stack of cat food cans as high as you want. Next imagine that each can has a very long chop stick glued to it, and the stick and can are the same color. If the can is sitting flat on the ground, the stick will be straight up in the air - or perpendicular to the lids.\n\nStack the cans so that the sticks all ring around the cans, so that every can's stick touches every other can. Because each can/stick pair is one color, and each stick touches every other stick, in 3-space, you may need a unique color for each entity.\n\nBack to 2-dimensions for a moment.\n\nColoring a planar graph with 5 colors is fairly trival proof in graph theory.\n\n3 colors is never sufficient. Consider a graph where three nodes are all touching a central fourth node. You'll definitely need 4 colors for that.\n\nHowever, in order to determine whether any graph is colorable in 3 colors or not is not easy. In fact it's NP-Complete. Believe me I know. I struggled over that as a homework problem in complexity theory in graduate about 20 years ago. I think I still remember how to prove it.
140436
First you have to know how to spell the various types of geometry: Euclidean, Non-Euclidean for a start. Then do a search for more informaiton.
823299
How about drawing a bunch of straight lines of differing length, from a fixed point, so that the tips create the image of an arc?
1180449
There is a very easy plugin for quick time that allows you to put more pictures and have a panoramic view of an area. If you want virtual toors of large buildings that needs to be done in some *cad software and will cost you lots of money and time.
1006293
The following link  has a tutorial \n\nhttp://www.ncsu.edu/project/graphicscourse/gc/acadtut/acadtut2000/acadtut-home.html
769990
vroma.org/~bmcmanus/\nclothing.html
44499
Try www.objectdesktop.com it's great !!!
397113
sphere, elliptic, plane, euclidean, pseudosphere, hyperbolic
1118735
Answers:\n\n1) you can create 2D surfaces with the REGION command.\n2) the HIDE command is used when you want the display on the screen to eliminate lines that are logically hidden behind other elements. Otherwise the display would show everything.\n3) Only if you wish to refer to it at a later stage, ie: use it as an insertion point.\n4) SURFTAB 1 sets the tabulation of the mesh on a surface in the M direction (the direction of the X axis on the surface when the surface is viewed in plan). SURFTAB 2 sets the same in the N direction (the direction of the Y axis).\n5) UCS stands for User Coordinate System.\n6) Use the UCS 3 point alignment when you want the UCS to align to 3 specific points on your drawing. For instance if you have a right angle corner of a room that is aligned differently to your current UCS, you can align the UCS to suit that corner by using these 3 points: the intersection of the 2 walls of the corner, any point along the wall that you wish the X axis to align to, and any point along the wall that you wish the Y axis to align to.\n7) You generally cannot perform Boolean operations on a surface. Only solid volumes can be subtracted from, unioned and intersected.\n8) The active viewport on a paperspace layout is the one with its boundaries highlighted in bold. Your cursor would also be shown in this viewport.\n\nLook up CAD forums for more answers, such as http://www.cadtutor.net/forum/index.php