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Animação de órbita infinita com trigonometria CSS

HTML

<!DOCTYPE html>
<html lang="es" >
<head>
  <meta charset="UTF-8">
  <title>Andev Web</title>
  <link rel='stylesheet' href='https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.5.2/css/all.min.css'><link rel="stylesheet" href="./style.css">

</head>
<body>
<div class="graph-container" >
    <div class="half-donut">
        <div class="slice">
             <i class="fa-regular fa-face-grimace"></i>
        </div>
        <div class="slice">
            <i class="fa-regular fa-face-frown"></i>
        </div>
        <div class="slice">
            <i class="fa-regular fa-face-meh"></i>
        </div>
        <div class="slice">
            <i class="fa-regular fa-face-smile"></i>
        </div>
        <div class="slice">
            <i class="fa-regular fa-face-grin-hearts"></i>
        </div>
    </div>
    <div class="marker"></div>
</div>

</body>
</html>

CSS

.graph-container {
  --size: 20rem;
  --stroke-size: calc(var(--size)/5);
  --rating: 0;
  position: relative;
  display: inline-flex;
  box-sizing: border-box;
  animation: 1s animateRating linear;
}
.graph-container *, .graph-container *::before, .graph-container *::after {
  box-sizing: border-box;
}

.half-donut {
  width: var(--size);
  height: calc(var(--size)/2);
  border-radius: var(--size) var(--size) 0 0;
  position: relative;
  overflow: hidden;
  filter: drop-shadow(0 0 0.3rem #0005);
}

.slice {
  --stroke-color: #000;
  --rotate: 0deg;
  position: absolute;
  width: 100%;
  height: 100%;
  border-radius: var(--size) var(--size) 0 0;
  border: var(--stroke-size) solid var(--stroke-color);
  box-sizing: border-box;
  border-bottom: none;
  transform-origin: 50% 100%;
  background: #0000;
  transform: rotate(calc(var(--rotate)));
}
.slice .fa-regular {
  font-size: 2rem;
  color: #000;
  position: absolute;
  left: -2.5rem;
  top: 2.5rem;
  --emo-rotate: 90deg;
  transform: rotate(var(--emo-rotate));
}
.slice:hover {
  opacity: 0.8;
  cursor: pointer;
}
.slice:nth-child(1) {
  --stroke-color: #d72e2c;
  --rotate: calc(36deg * (1 - 1) );
}
.slice:nth-child(1) .fa-regular {
  --emo-rotate: calc(-36deg * (1 - 1));
}
.slice:nth-child(2) {
  --stroke-color: #ff6259;
  --rotate: calc(36deg * (2 - 1) );
}
.slice:nth-child(2) .fa-regular {
  --emo-rotate: calc(-36deg * (2 - 1));
}
.slice:nth-child(3) {
  --stroke-color: #f19c4b;
  --rotate: calc(36deg * (3 - 1) );
}
.slice:nth-child(3) .fa-regular {
  --emo-rotate: calc(-36deg * (3 - 1));
}
.slice:nth-child(4) {
  --stroke-color: #68ca6f;
  --rotate: calc(36deg * (4 - 1) );
}
.slice:nth-child(4) .fa-regular {
  --emo-rotate: calc(-36deg * (4 - 1));
}
.slice:nth-child(5) {
  --stroke-color: #509d55;
  --rotate: calc(36deg * (5 - 1) );
}
.slice:nth-child(5) .fa-regular {
  --emo-rotate: calc(-36deg * (5 - 1));
}

.marker {
  position: absolute;
  z-index: 1;
  transform: translateX(-50%);
  --round-size: calc(var(--size) / 10);
  --round-o-size: calc(var(--round-size)* 0.32);
  width: var(--round-size);
  height: var(--round-size);
  left: 50%;
  bottom: 0;
  border: var(--round-o-size) solid #fff;
  border-radius: 50%;
  --turn: calc(45deg + (36 * calc(var(--rating)* 1deg)) );
  transform: translate(-50%, 50%) rotate(var(--turn));
  transform-origin: 50% 50%;
  transition: 0.2s linear;
}
.marker::before {
  content: "";
  position: absolute;
  border: calc(var(--round-size) / 3) solid transparent;
  border-right: calc(var(--size)* 0.4) solid #FFF;
  left: 0%;
  bottom: 0;
  transform: translate(-100%, 50%) rotate(-45deg);
  transform-origin: 100% 50%;
  filter: drop-shadow(calc(var(--round-size) / -10) 0 0.2rem #0008);
}

@keyframes animateRating {
  50% {
    --rating: 5;
  }
}
#range {
  -webkit-appearance: none;
  width: 20rem;
  height: 0.5rem;
  background: #90CAF9;
  outline: none;
  opacity: 0.7;
  border-radius: 0.5rem;
  -webkit-transition: 0.2s;
  transition: opacity 0.2s;
}

#range:hover {
  opacity: 1;
}

#range::-webkit-slider-thumb {
  -webkit-appearance: none;
  appearance: none;
  width: 2rem;
  height: 2rem;
  border-radius: 50%;
  background: #2962FF;
  border: 0.5rem solid #FFF;
  cursor: pointer;
}

#range::-moz-range-thumb {
  width: 2rem;
  height: 2rem;
  background: #2962FF;
  cursor: pointer;
}

body {
  background: #262638;
  display: flex;
  flex-direction: column;
  align-items: center;
  justify-content: center;
  margin: 0;
  height: 100vh;
  gap: 5rem;
}

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