Let
G
be a graph and
H
⊆
G
be subgraph of
G
. The graph
G
is said to be
a
,
d
-
H
antimagic total graph if there exists a bijective function
f
:
V
H
∪
E
H
⟶
1,2,3
,
…
,
V
H
+
E
H
such that, for all subgraphs isomorphic to
H
, the total
H
weights
W
H
=
W
H
=
∑
x
∈
V
H
f
x
+
∑
y
∈
E
H
f
y
forms an arithmetic sequence
a
,
a
+
d
,
a
+
2
d
,
…
,
a
+
n
−
1
d
, where
a
and
d
are positive integers and
n
is the number of subgraphs isomorphic to
H
. An
a
,
d
-
H
antimagic total labeling
f
is said to be super if the vertex labels are from the set
1,2
,
…
,
|
V
G
. In this paper, we discuss super
a
,
d
-
C
3
-antimagic total labeling for generalized antiprism and a super
a
,
d
-
C
8
-antimagic total labeling for toroidal octagonal map.