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HTML 

              
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                            <path id="card5_bg-white" d="M519.796259,159.006211 L20.2037414,159.006211 C9.1016855,159.006211 0,150.039696 0,138.881365 L0,20.1248463 C0,9.06614362 9.00166698,1.58206781e-13 20.2037414,1.58206781e-13 L519.796259,1.58206781e-13 C530.898315,1.58206781e-13 540,8.96651567 540,20.1248463 L540,138.881365 C540,149.940068 530.898315,159.006211 519.796259,159.006211 Z" fill="#FFFFFF" fill-rule="nonzero"></path>
                        </g>
                        <g id="card5-icon-wrap" transform="translate(42.000000, 25.000000)">
                            <g id="card5_icon" transform="scale(0)">
                                <circle id="Oval" fill="url(#linearGradient-10)" fill-rule="nonzero" cx="54.8" cy="55.1" r="54.4"></circle>
                                <g id="Group" transform="translate(5.000000, 18.000000)" fill="#FFFFFF" fill-rule="nonzero">
                                    <path d="M81.6,30.3 C77.9,25.7 70.8,25.6 67,30.3 L45.8,56.3 L28.2,43.5 C24.6,40.9 19.6,41.2 16.3,44.2 L-5.68434189e-14,59.2 C8.5,78.3 27.6,91.6 49.8,91.6 C73.7,91.6 94,76.2 101.3,54.8 L81.6,30.3 Z"></path>
                                    <circle id="Oval" cx="37.7" cy="7.9" r="7.5"></circle>
                                </g>
                                <circle id="Oval" fill="url(#linearGradient-10)" fill-rule="nonzero" opacity="0.2" cx="54.8" cy="55.1" r="54.4"></circle>
                            </g>
                        </g>
                        <g id="card5_text" opacity="0.25000" transform="translate(191.000000, 30.00000)">
                            <rect class="card_text" x="30" y="0" width="270" height="16" rx="8" transform="scale(0)" fill="#7F9BFC" fill-rule="nonzero"></rect>
                            <rect class="card_text" x="0" y="30" width="303" height="16" rx="8" transform="scale(0)" fill="#7F9BFC" fill-rule="nonzero"></rect>
                            <rect class="card_text" x="0" y="56" width="303" height="16" rx="8" transform="scale(0)" fill="#7F9BFC" fill-rule="nonzero"></rect>
                            <rect class="card_text" x="0" y="82" width="122" height="16" rx="8" transform="scale(0)" fill="#7F9BFC" fill-rule="nonzero"></rect>
                        </g>
                    </g>
                </g>
            </g>
        </g>
        <g id="plane2-wrap"  transform="translate(320.000000, 30.00000)">
            <g id="plane2" fill-rule="nonzero">
                <path d="M832.927808,725.921924 L342.327808,31.8219235 C250.027808,-98.7780765 -111.072192,339.321924 46.3278083,403.821924 L832.927808,725.921924 Z" fill="url(#linearGradient-11)" opacity="0.0458220109" transform="translate(420.019183, 366.784851) rotate(1.000000) translate(-420.019183, -366.784851) "></path>
                <polygon fill="url(#linearGradient-12)" points="832.3 734.9 680.2 679.8 697.9 616"></polygon>
                <polygon fill="url(#linearGradient-13)" points="832.3 734.9 697.9 616 738.8 591.3"></polygon>
                <polygon fill="url(#linearGradient-14)" points="832.3 734.9 624.1 660.4 671.7 631.8"></polygon>
            </g>
        </g>z
        <g id="plane1-wrap"  transform="translate(-320.000000, -30.00000)">
            <g id="plane1" fill-rule="nonzero">
                <path d="M826.3,718.9 L335.7,24.8 C243.4,-105.8 -117.7,332.3 39.7,396.8 L826.3,718.9 Z" fill="url(#linearGradient-11)" opacity="0.0536345109"></path>
                <polygon fill="url(#linearGradient-12)" points="826.3 718.9 674.2 663.8 691.9 600"></polygon>
                <polygon fill="url(#linearGradient-13)" points="826.3 718.9 691.9 600 732.8 575.3"></polygon>
                <polygon fill="url(#linearGradient-14)" points="826.3 718.9 618.1 644.4 665.7 615.8"></polygon>
            </g>
        </g>
    </g>
</svg>
!

CSS 

              
                *
  box-sizing: border-box

html, body
  width: 100%

body
  overflow-x: hidden
  width: 100%

  
svg
  width: 100%
  height: auto

#card1_bg-white, #card2_bg-white, #card3_bg-white, #card4_bg-white
  transform-origin: 2% 8%
  transform-style: preserve-3D

#card3_bg-white,
#card4_bg-white,
#card5_bg-white
  transform: scale(0)

#plane1
  transform-origin: 620px 580px

#plane2
  transform: scaleX(-1) translate(-1500px, -150px)
  transform-origin: 500px 650px
!

JS 

              
                var planesCard = anime.timeline({
    direction: 'forwards',
    loop: true
});

planesCard
    .add({
        targets: '#card2 .card_text',
        scaleX: [0, 1],
        delay: function(target, index) {
            return index * 300;
        },
        easing: [0.17, 0.17, 0.35, 1.00],
        duration: 300,
        offset: 0
    })
    .add({
        targets: '#plane1',
        opacity: {
            value: [0, 1],
            duration: 100,
            delay: 84
        },
        translateX: {
            value: ['-199','+888']
        },
        translateY: {
            value: ['-36','+404']
        },
        rotate: {
            value: -12,
        },
        scale: {
            value: 0,
            duration: 200,
            delay: 300
        },
        easing: [0.17, 0.17, 0.79, 1.00],
        duration: 541,
        offset: 250
    })
    .add({
        targets: '#card1',
        opacity: 0,
        loop: true,
        easing: [0.68, 0.00, 0.33, 1.00],
        duration: 750,
        offset: 708
    })
    .add({
        targets: '#card3_bg-white',
        easing: [0.17, 0.11, 0.40, 1.26],
        duration: 666,
        offset: 625,
        scale: [0, 1]
    })
    .add({
        targets: '#cards',
        easing: [0.68, 0.00, 0.33, 1.00],
        duration: 750,
        offset: 708,
        translateY: ['-=257']
    })
    .add({
        targets: '#card3_icon',
        translateX: ['+=35', 0],
        translateY: ['+=35', 0],
        scale: [0, 1],
        loop: true,
        easing: [0.41, 1.9, 0.59, 0.94],
        duration: 708,
        offset: 780
    })
    .add({
        targets: '#card3 .card_text',
        scaleX: [0, 1],
        delay: function(target, index) {
            return index * 300;
        },
        easing: [0.17, 0.17, 0.35, 1.00],
        duration: 300,
        offset: 989
    })
    .add({
        targets: '#plane2',
        opacity: {
            value: [0, 1],
            duration: 167,
            delay: 84
        },
        scaleX: {
            value: -1,
            duration: 0
        },
        translateX: {
            value: [-1620, -180]
        },
        translateY: {
            value: [-78,320]
        },
        rotate: {
            value: -12,
            duration: 500,
            delay: 100,
        },
        scale: {
            value: 0,
            duration: 250,
            delay: 285
        },
        easing: [0.17, 0.17, 0.79, 1.00],
        duration: 600,
        offset: 1380
    })
    .add({
        targets: '#card2',
        opacity: 0,
        loop: true,
        easing: [0.68, 0.00, 0.33, 1.00],
        duration: 750,
        offset: 1875
    })
    .add({
        targets: '#card4_bg-white',
        easing: [0.17, 0.11, 0.40, 1.26],
        duration: 666,
        offset: 1793,
        scale: [0, 1]
    })
    .add({
        targets: '#cards',
        easing: [0.68, 0.00, 0.33, 1.00],
        duration: 750,
        offset: 1875,
        translateY: ['-=257']
    })
    .add({
        targets: '#card4_icon',
        translateX: ['+=35', 0],
        translateY: ['+=35', 0],
        scale: [0, 1],
        loop: true,
        easing: [0.41, 1.9, 0.59, 0.94],
        duration: 708,
        offset: 1957
    });
!
999px

Console