Wigginton, a 6-foot-2 freshman, finished with a game-high 30 points, helping Iowa State (10-6, 1-4) record its first Big 12 victory after four losses, two of which went to overtime.
The loss for Baylor (11-6, 1-4) was its fourth in the last five games after 5-0 and 10-2 starts that had the Bears ranked as high as 16th in the nation.
After Baylor had reversed a 37-30 deficit into a 56-53 lead past the midpoint of the second half, Wigginton hit a pair of free throws with 7:37 to go to get the Cyclones headed in a winning direction.
Wigginton added a pair of 3-pointers, while Weiler-Babb contributed two jumpers and four free throws, helping the Cyclones pull away down the stretch.
Wigginton's 30 points came on 8-for-17 shooting and included five 3-pointers.
Weiler-Babb had a game-high 10 assists to go with 15 points for the Cyclones, who were coming off a narrow loss at Kansas.
Solomon Young also recorded a double-double for Iowa State with 11 points and 12 rebounds, while Cameron Lard also totaled 11 points.
The Cyclones outscored the Bears 27-12 on 3-pointers.
Tristan Clark had 16 points and 15 rebounds for Baylor, which had taken second-ranked West Virginia to the wire before losing 57-54 on Tuesday.
Jo Lual-Acuil Jr. and King McClure added 13 points apiece, and Terry Maston recorded 10 rebounds off the bench for the Bears, who shot just 34.3 percent overall and just 4-for-18 (22 percent) on 3-pointers.
There were six lead changes and four ties in a first half that was played on even terms for the first 17 minutes. But Wigginton buried three 3-pointers in an 11-2 Iowa State run to close the half, giving the Cyclones a 34-27 lead.
Wigginton had 17 of his 30 points in the half, during which Baylor shot just 33 percent.
--Field Level Media
Baylor | Iowa State | |
Tristan Clark 16 | Scoring | Lindell Wigginton 30 |
Mark Vital 5 | Assists | Nick Weiler-Babb 10 |
Tristan Clark 15 | Rebounds | Solomon Young 12 |
Manu Lecomte 5 | Free Throws Made | Lindell Wigginton 9 |
Tristan Clark 1 | Steals | Lindell Wigginton 3 |
Tristan Clark 3 | Blocks | Cameron Lard 5 |
Team | Points | FG% | 3PM-3PA | FTM-FTA | Assists | Rebounds | Blocks | Steals | Turnovers |
Baylor | 65 | 34.3 | 4-18 | 15-19 | 12 | 45 | 4 | 3 | 12 |
Iowa State | 75 | 41.3 | 9-28 | 14-19 | 18 | 38 | 7 | 6 | 9 |