IPv6 routing to another interface

I'm trying to get an IPv6 enabled router to forward data from one interface to the other and I'm having issues.

When following this example (http://www.cisco.com/en/US/tech/tk872/technologies_configuration_example09186a0080ba6106.shtml) I am able to get full connectivity between all 3 routers in my simulator. However when I try to use only 1 router; I can't get connectivity to the other interfacs on the same router.

My PC is directly attached to FA 1/0 and it can ping the router's interface. However it can not ping any other interface on the router(which unless I'm missing something it should be able to do). The router on the other hand can ping everything. I thought static routes might help; but the router already has routes for everything.

I'm thinking the packet should come in; router looks up the destination in it's ipv6 routing table and then realizes it's for itself, and should respond. I thought maybe it couldn't respond directly; so I tried pinging a device like 2001:0000:0000:1000::2, but i don't get a response.

I'm running on IOS 12.4.

I'm missing something(hopefully simple), but I just can't see what it is. With only 1 router; how do I enable my PC to talk to the other subnets? Thank you in advance, Robert

Topology:

R1

FA 0/0:
2001:0000:0000:0000::1/52

FA 0/1:
2001:0000:0000:1000::1/52

FA 1/0:
2001:0000:0000:2000::1/52

Loopback 0:
2001:0000:0000:3000::1/52

PC:
2001:0000:0000:2000::2/52

PC plugs directly into FA 1/0 on the router.

--- Configuration ---

ipv6 cef
ipv6 unicast routing

interface Loopback0
 no ip address
 ipv6 address 2001:0000:0000:3000::1/52
 ipv6 enable
!
interface FastEthernet0/0
 no ip address
 duplex auto
 speed auto
 ipv6 address 2001:0000:0000::1/52
 ipv6 enable
!
interface FastEthernet0/1
 no ip address
 duplex auto
 speed auto
 ipv6 address 2001:0000:0000:1000::1/52
 ipv6 enable
!
interface FastEthernet1/0
 no ip address
 duplex auto
 speed auto
 ipv6 address 2001:0000:0000:2000::1/52
 ipv6 enable

--- end of config ---

--- routing table ---

IPV6Lab#show ipv6 route
IPv6 Routing Table - 10 entries
Codes: C - Connected, L - Local, S - Static, R - RIP, B - BGP
       U - Per-user Static route
       I1 - ISIS L1, I2 - ISIS L2, IA - ISIS interarea, IS - ISIS summary
       O - OSPF intra, OI - OSPF inter, OE1 - OSPF ext 1, OE2 - OSPF ext 2
       ON1 - OSPF NSSA ext 1, ON2 - OSPF NSSA ext 2

C   2001:0000:0000::/52 [0/0]
     via ::, FastEthernet0/0

L   2001:0000:0000::1/128 [0/0]
     via ::, FastEthernet0/0

C   2001:0000:0000:1000::/52 [0/0]
     via ::, FastEthernet0/1

L   2001:0000:0000:1000::1/128 [0/0]
     via ::, FastEthernet0/1

C   2001:0000:0000:2000::/52 [0/0]
     via ::, FastEthernet1/0

L   2001:0000:0000:2000::1/128 [0/0]
     via ::, FastEthernet1/0

C   2001:0000:0000:3000::/52 [0/0]
     via ::, Loopback0

L   2001:0000:0000:3000::1/128 [0/0]
     via ::, Loopback0

L   FE80::/10 [0/0]
     via ::, Null0

L   FF00::/8 [0/0]
     via ::, Null0

--- end of routing table ---

Edit: Fixed problem description to indicate my Pc is on FA 1/0; not FA 0/1. Thank you for pointing out the error Celada.