These are the finest closed, non-orientable, boundary-free manifolds sold anywhere in our three spatial dimensions. ❋ Unknown (2008)
It has the mathematical property of being non-orientable. ❋ Unknown (2008)
There's a theorem in knot theory that given any 'tame' knot, there is an orientable surface whose boundary is this knot. ❋ Jhadur (2010)
If it had an odd number of "lobes" then it would be a Klein bottle, but as it has 6, and each lobe flips one side of the surface for the other, one can colour the two sides with different shades consistently, so it has to be orientable. ❋ Bettina Tizzy (2008)
The ones with even number of twists are orientable with two circular edges with varying linking number, and the odd-numbered twists are non-orientable with a single circular edge that links (knots) itself a varying number of times. ❋ Unknown (2004)
It has two twists, not one, which means it's an orientable surface (having two unique sides), topologically equivalent to an ordinary circular strip. ❋ Unknown (2004)
Acme Klein Bottle - Nice site for "the finest closed, non-orientable, boundary-free manifolds sold anywhere in oõr three spatial dimensions." ❋ Ray Girvan (2002)
The Pn, that is the real projective spaces, have a remarkable property: for even dimensions n they are nonorientable, but for odd dimensions orientable. ❋ SALOMON BOCHNER (1968)
In particular, the space P2, that is the space of two dimensional elliptic geometry, is not orientable, but P3 is. ❋ SALOMON BOCHNER (1968)
A space is orientable, if a tornado (or any other spinning top), when moving along any closed path, returns to its starting point with the same sense of gyration with which it started, and it is nonorientable if along some closed path the sense of gyration is reversed. ❋ SALOMON BOCHNER (1968)
Skid, Tail -- A piece of wood or other material, orientable, and fitted with shock absorbers, situated under the tail of an aeroplane in order to support it upon the ground and to absorb the shock of alighting. ❋ Unknown (1919)
[28] = Skid, Tail = -- A piece of wood or other material, orientable, and fitted with shock absorbers, situated under the tail of an aeroplane in order to support it upon the ground and to absorb the shock of alighting. ❋ Unknown (1919)
Skid, Tail -- A piece of wood or other material, orientable, and fitted with shock absorbers, situated under the tail of an aeroplane in order to support it upon the ground and to absorb the shock of alighting. [28a] ❋ Unknown (1917)
All combat should occur on non-orientable surfaces. ❋ The Jester (2010)
This Riemann surface is orientable since every orientation of a disc is carried over to the disc next to it. ❋ Unknown (2010)
Fixed wheel - Centered orientable wheel - Off-centered orientable wheel (Caster Wheel) - S wedish wheel • Mobile Robot Locomotion - Degrees of mobility - 5 types of driving (steering) methods • Kinematics of WMR • B asic Control The City College of New York 49 ❋ Unknown (2008)
Slide 20: Degree of Steerability • Degree of steerability The number of centered orientable wheels that can be steered independently in order to steer the robot No centered orientable wheels • Degree of steerability: 0 One centered orientable wheel Two mutually Two mutually dependent centered independent orientable wheels centered orientable wheels • Degree of steerability: 1 • Degree of steerability: 2 The City College of New York ❋ Unknown (2008)
Slide 14: Centered orientable wheels - V elocity of point P where, ax: A unit vector of x axis ay: A unit vector of y axis - Restriction to the robot mobility x y The City College of New York 14 ❋ Unknown (2008)
