<div class="box">
  <img src="https://css-articles.com/img/avatar.png" alt="a random avatar">
  <h2>Temani Afif</h2>
  <p>Expert CSS Hacker</p>
</div>
@property --a {
  syntax: "<angle>";
  inherits: true;
  initial-value: 0deg;
}

.box {
  --r: 30px; /* control the rounded part*/
  --s: 80px; /* control the size of the cut and the image  */
  --a: 20deg; /* control the depth of the curvature */
  
  position: relative;
  z-index: 0;
  cursor: pointer;
  transition: .4s --a;
  color: #fff;
  font-family: system-ui,sans-serif;
  text-align: center;
  animation: --a .8s backwards cubic-bezier(0,.6,.6,1.5) .7s;
}
@keyframes --a {
  0% {--a: 90deg}
}
.box:hover {
  --a: 35deg;
}
.box img {
  height: calc(2*var(--s));
  aspect-ratio: 1;
  scale: .9;
  translate: 0 calc(-1*sin(var(--a))*var(--s) - sin(var(--a))*var(--r));
  border-radius: 50%;
  background: #D95B43;
  animation: t linear both .7s;
}
@keyframes t {
  0%{transform: translate(0,-200px)}
}
.box:before {
  content:"";
  position: absolute;
  z-index: -1;
  inset: calc(var(--s)/2 + var(--r)/4) 0 0 0;
  background: linear-gradient(45deg,#00A0B0,#88A65E);
  --_m:0/calc(2*var(--r)) calc(2*var(--r)) no-repeat
    radial-gradient(50% 50%,#000 calc(100% - 1px),#0000);
  --_d:(var(--s) + var(--r))*cos(var(--a));
  mask:
    calc(50% + var(--_d)) var(--_m),calc(50% - var(--_d)) var(--_m),
    radial-gradient(var(--s) at 50% calc(-1*sin(var(--a))*var(--s)),
      #0000 100%,#000 calc(100% + 1px)) 0 calc(var(--r)*(1 - sin(var(--a)))) no-repeat,
    linear-gradient(90deg,#000 calc(50% - var(--_d)),#0000 0 calc(50% + var(--_d)),#000 0);
}

body {
  margin: 0;  
  background: repeating-linear-gradient(-45deg, #fff 0 20px, #ddd 0 40px);
  padding-top: 100px;
}

h2 {
  margin-block: calc(var(--s)/-3) 0;
  font-size: 3rem
}
p {
  font-size: 1.5rem;
  margin: 0;
  padding: 1rem;
}

External CSS

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