A carousel widget

carousel.dart

class Carousel extends StatefulWidget {
  _CarouselState createState() => _CarouselState();
}

class _CarouselState extends State<Carousel> with SingleTickerProviderStateMixin {
  final PageController controller = PageController();
  AnimationController animationController;
  List<Widget> list = [
    SliderBox(
        child: FlutterLogo(
      colors: Colors.red,
    )),
    SliderBox(
        child: FlutterLogo(
      colors: Colors.green,
    )),
    SliderBox(
        child: FlutterLogo(
      colors: Colors.blue,
    ))
  ];

  @override
  void initState() {
    super.initState();
    WidgetsBinding.instance.addPostFrameCallback((_) => _animateSlider());
  }

  void _animateSlider() {
    Future.delayed(Duration(seconds: 2)).then((_) {
      int nextPage = controller.page.round() + 1;

      if (nextPage == list.length) {
        nextPage = 0;
      }

      controller
          .animateToPage(nextPage, duration: Duration(seconds: 1), curve: Curves.linear)
          .then((_) => _animateSlider());
    });
  }

  @override
  Widget build(BuildContext context) {
    PageIndicatorContainer container = new PageIndicatorContainer(
      pageView: new PageView(
        children: list,
        controller: controller,
      ),
      length: list.length,
      padding: EdgeInsets.fromLTRB(10, 40, 10, 10),
      indicatorSpace: 10,
      indicatorColor: Colors.grey[350],
      indicatorSelectorColor: Colors.grey,
    );

    return Stack(
      children: <Widget>[
        Container(color: Colors.grey[100], height: double.infinity),
        Container(color: Colors.white, child: container, margin: EdgeInsets.only(bottom: 50)),
      ],
    );
  }
}