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Author Topic: Here's a fun problem
AcidWarp
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posted 03-24-2006 06:20 PM     Profile for AcidWarp   Author's Homepage     Send New Private Message   Edit/Delete Post   Reply With Quote
For a set E in 3-space, let L(E) consist of all points on all lines determined by any two points of E. Thus if V consists of the four vertices of a regular tetrahedron, then L(V) consists of the six edges of the tetrahedron, extended infinitely in both directions. TRUE or FALSE: Every point of 3-space is in L(L(V))?

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“I have noticed even people who claim everything is predestined, and that we can do nothing to change it, look before they cross the road.”

“Intelligence is the ability to adapt to change.”

--Dr. Stephen Hawking.


Posts: 4363 | From: Waterloo, Ontario | Registered: Nov 1999  |  IP: Logged
AcidWarp
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posted 03-25-2006 12:39 PM     Profile for AcidWarp   Author's Homepage     Send New Private Message   Edit/Delete Post   Reply With Quote
Oh come on. . . no one?

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“I have noticed even people who claim everything is predestined, and that we can do nothing to change it, look before they cross the road.”

“Intelligence is the ability to adapt to change.”

--Dr. Stephen Hawking.


Posts: 4363 | From: Waterloo, Ontario | Registered: Nov 1999  |  IP: Logged
dAm
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posted 03-26-2006 02:46 AM     Profile for dAm   Author's Homepage     Send New Private Message   Edit/Delete Post   Reply With Quote
I'll take a stab at it ... True

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Posts: 577 | From: Calgary | Registered: Nov 2001  |  IP: Logged
RoGuEBiTcH
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posted 03-26-2006 09:16 AM     Profile for RoGuEBiTcH   Author's Homepage     Send New Private Message   Edit/Delete Post   Reply With Quote
I think true, as well - but I only read that through once. It sounds like the PVS algorithm for the Quake BSP tree, actually.

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Posts: 3123 | From: Naples, FL | Registered: Jun 1999  |  IP: Logged

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