As requested, a list of IP addresses used by the vandal in question. This list isn't complete but it is as much as I could find in the time I had available. Hope it is of help.

If there is no block log for an IP here, the IP has not been blocked.

IP: 2.24.0.0 - 2.27.255.255 Orange WBC Broadband

2.24.0.130 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-05
2.24.0.145 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.24.0.212 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.24.0.213 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-01
2.24.16.134 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
- Block log
  - 02:37, May 20, 2012 CambridgeBayWeather (Talk | contribs) blocked 2.24.16.134 (Talk) with an expiry time of 24 hours (anonymous users only, account creation disabled) (Vandalism)
2.24.16.140 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-03
2.24.16.174 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.24.16.194 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-31
2.24.16.197 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.24.16.245 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-30
2.24.21.65 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.24.21.126 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.24.26.30 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-04
2.24.26.60 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-01
2.24.26.121 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-02
2.24.26.146 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-05
2.24.26.174 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.24.26.180 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-02
2.24.26.219 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-02
2.24.26.252 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-03
2.27.119.8 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-05
2.27.119.3 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-31
2.27.119.70 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.119.169 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.119.237 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-03
2.27.120.16 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.120.23 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.120.34 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-31
2.27.120.117 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-02
2.27.120.122 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-03
2.27.123.113 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.123.151 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.123.163 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-31
2.27.123.188 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-04
2.27.123.204 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.124.46 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-05
2.27.124.89 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-05
2.27.124.108 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-05
2.27.124.118 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.124.124 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-03
2.27.133.107 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-05
2.27.133.127 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.133.172 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.133.210 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.133.242 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-01
2.27.133.246 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-08-02
2.27.134.65 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-01
2.27.134.230 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.134.245 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.150.144 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.150.169 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-02
2.27.150.217 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-04
2.27.150.221 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-31
2.27.150.239 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-31
2.27.151.16 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-24
2.27.151.118 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-31
2.27.151.238 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-04
- Block log
  - 18:51, June 4, 2012 Prolog (Talk | contribs) blocked 2.27.151.238 (Talk) with an expiry time of 72 hours (account creation disabled) (Vandalism)
2.27.151.248 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-03

IP: 2.28.0.0 - 2.31.255.255 Orange WBC Broadband

2.30.184.9 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-22
2.30.184.21 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-31
2.30.184.80 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-19
2.30.184.155 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-30
2.30.184.199 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-25
2.30.185.1 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-28
2.30.185.32 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-02
2.30.185.43 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-03
2.30.185.46 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-21
2.30.185.71 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-20
2.30.185.112 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-03
2.30.185.115 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-31
2.30.196.109 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-28

IP: 31.185.32.0 - 31.185.47.255 PlusNet plc Dialup and ADSL

31.185.32.164 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-22
31.185.151.233 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-22
31.185.217.42 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-22

IP: 37.152.192.0 - 37.152.255.255 PlusNet plc.

37.152.228.94 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-21
- Block log
  - 20:59, April 21, 2012 Materialscientist (talk · contribs) blocked Special:Contributions/37.152.228.94 (talk) (anon. only, account creation blocked) with an expiry time of 48 hours (Disruptive editing: Unsourced, dubious changes, likely related to 87.115.174.141)
37.152.231.194 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-08
37.152.240.176 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-10

IP: 46.208.0.0 - 46.208.63.255 PlusNet plc Dialup and ADSL

46.208.31.235 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-07
46.208.34.183 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-14
46.208.151.111 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-17
46.208.160.79 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-11
46.208.183.79 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-04

IP: 81.151.0.0 - 81.151.255.255 BT Public Internet

81.151.51.247 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-19
81.152.66.255 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-07

IP: 84.93.128.0 - 84.93.191.255 PlusNet plc Dialup and ADSL

84.93.140.118 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-27

IP: 86.128.0.0 - 86.169.171.33 BT Public Internet

86.135.228.19 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-23
86.135.47.90 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-15
86.169.171.33 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-06-01

IP: 87.112.0.0 - 87.112.199.255 PlusNet plc Dialup and ADSL

87.112.25.187 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-18
87.112.26.178 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-18
87.112.27.83 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-24
87.112.80.151 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-03
87.112.95.26 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-22
87.112.131.18 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-19
87.112.152.4 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-30
87.112.171.111 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-19
- Block log
  - 15:36, April 19, 2012 Mjroots (talk | contribs) blocked 87.112.171.111 (talk) (anon. only, account creation blocked) with an expiry time of 31 hours (Vandalism: after final warning)
87.112.232.87 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-01
87.112.245.162 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-16

IP: 87.113.0.0 - 87.113.63.255 PlusNet plc Dialup and ADSL

87.113.7.170 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-13
87.113.122.103 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-11
87.113.148.97 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-23
87.113.148.184 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-19
87.113.149.162 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-04
87.113.221.209 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-30
87.113.221.233 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-08
87.113.227.59 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-25
87.113.232.86 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-02

IP: 87.114.128.0 - 87.114.167.255 PlusNet plc Dialup and ADSL

87.114.136.19 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-27
87.114.241.179 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-19

IP: 87.115.0.0 - 87.115.63.255 PlusNet plc Dialup and ADSL

87.115.25.25 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-20
- Block log
  - 13:29, April 20, 2012 Edgar181 (talk | contribs) blocked 87.115.25.25 (talk) (anon. only, account creation blocked) with an expiry time of 31 hours (Disruptive editing: using multiple IPs)
87.115.61.230 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-30
87.115.97.252 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-21
87.115.172.120 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-21
87.115.184.115 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-03

IP: 91.125.0.0 - 91.125.31.255 BrightView ADSL

91.125.24.60 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-22
- Block log
  - 17:57, April 22, 2012 5 albert square (talk · contribs) blocked 91.125.24.60 (talk) (anon. only, account creation blocked) with an expiry time of 48 hours (Disruptive editing)
91.125.44.116 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-16
91.125.50.119 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-01
91.125.81.175 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-28
91.125.105.114 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-24
91.125.108.89 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-04-29
91.125.142.236 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-05
91.125.248.124 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-17

IP: 92.6.0.0 - 92.6.255.255 TalkTalk Communications

92.6.129.127 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-08

Probably the same person (included in the list):

86.135.47.90 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-15
87.113.221.233 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2012-05-08

2013

187.113.231.153 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2013-08-05
186.213.150.131 (talk · contribs · deleted contribs · filter log · WHOIS · RDNS · RBLs · http · block user · block log) 2013-08-07