将简单的菜单转换为滚动的汉堡包

Question

我要开发一个菜单，当滚动时，该菜单会自动转换为下三角汉堡。一旦转换为汉堡包，当我单击汉堡包时，它应该显示/隐藏。

此外，它也应该在粘性菜单中工作。假设我使主菜单变粘，那么汉堡应该自动变粘。

我在这里创建了示例演示。但这没有达到预期的效果。 它也在顶部闪烁。

jQuery(document).ready(function($) {
  var sticky_menu = jQuery('.scroll_hamburger');
  sticky_menu.after('<div class="onclick_arr arrow-down arrow_for_scroll" id="sub-menu"><i class="fa fa-bars"></i></div></div>');

  var toggleed = false;
  $('.arrow-down').click(function(e) {
    e.preventDefault();
    if (sticky_menu.is(':visible')) {
      sticky_menu.stop().slideUp();
    } else {
      sticky_menu.stop().slideDown();
    }
    toggleed = true;
    setTimeout(function() {
      toggleed = false;
    }, 500);
  });

  $(window).bind('scroll', function() {
    if (!toggleed) {
      if ($(window).scrollTop() > 50) {
        $('.arrow_for_scroll').fadeIn();
        sticky_menu.hide();
      } else {
        $('.arrow_for_scroll').fadeOut();
        sticky_menu.show();
      }
    }
  });
});

.arrow-down {
  text-align: center;
  height: 100px;
  position: relative;
  width: 100px;
  display: none;
  margin: 0px auto;
}

.arrow-down>i {
  position: absolute;
  top: 18%;
  left: 50%;
  transform: translate(-50%, -20%);
}

.arrow-down:after,
.arrow-down:after {
  z-index: -1;
  position: absolute;
  top: 0;
  left: 0;
  content: '';
  width: 0;
  height: 0;
  border-top: solid 50px #e15915;
  border-left: solid 50px transparent;
  border-right: solid 50px transparent;
}

nav ul li {
  display: inline-block;
}

<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script>
<nav class="scroll_hamburger">
  <ul>
    <li><a href="">Home</a></li>
    <li><a href="">About</a></li>
    <li><a href="">Contact</a></li>
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</nav>
<p>
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</p>

提琴：https://jsfiddle.net/mayanksdudakiya/xkr54gb1/11/