Um código por ytr3d3

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<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>Document</title>
    <link rel="stylesheet" href="3d-auth.css">
</head>
    <body>
        <div class="auth-container">
            
            <div class="auth-form login-form">
                <div class="auth-card main-card">
                    <h2>Вход</h2>
                    <div class="card-content">
                        <div class="auth-input">
                            <input type="text" placeholder="Логин">
                            <input type="password" placeholder="Пароль">
                        </div>
                        <button class="auth-button" id="login-button">Войти</button>
                        <a id="forgot-password">Забыли пароль?</a>
                    </div>
                </div>
            </div>

<div class="auth-form register-form">
                <div class="auth-card">
                    <h2>Регистрация</h2>
                    <div class="card-content">
                        <div class="auth-input">
                            <input type="text" placeholder="Логин">
                            <input type="email" placeholder="Email">
                            <input type="password" placeholder="Пароль">
                            <input type="password" placeholder="Повторите пароль">
                        </div>
                        <button class="auth-button" id="register-button">Зарегистрироваться</button>
                    </div>
                </div>
            </div>

<div class="recovery-card">
                <h2>Восстановление</h2>
                <div class="card-content">
                    <div class="auth-input">
                        <input type="email" placeholder="Введите email">
                    </div>
                    <button class="auth-button" id="recovery-button">Отправить</button>
                    <a class="back-to-login">Вернуться назад</a>
                </div>
            </div>

<div class="verification-card">
                <h2>Подтверждение</h2>
                <div class="card-content">
                    <div class="auth-input">
                        <input type="text" placeholder="Введите код из письма">
                    </div>
                    <button class="auth-button">Подтвердить</button>
                    <a class="back-to-recovery">Вернуться назад</a>
                </div>
            </div>
        </div>
        <script>
            document.getElementById('forgot-password').addEventListener('click', function() {
                document.querySelector('.auth-container').classList.add('show-recovery');
            });

document.querySelector('.back-to-login').addEventListener('click', function() {
                document.querySelector('.auth-container').classList.remove('show-recovery');
                document.querySelector('.auth-container').classList.remove('show-verification');
            });

document.getElementById('recovery-button').addEventListener('click', function() {
                document.querySelector('.auth-container').classList.add('show-verification');
            });

document.querySelector('.back-to-recovery').addEventListener('click', function() {
                document.querySelector('.auth-container').classList.remove('show-verification');
            });

document.querySelectorAll('.login-form, .register-form, .recovery-card, .verification-card').forEach(card => {
                let bounds;

const handleMove = (e) => {
                    const rect = card.getBoundingClientRect();
                    
                    // Вычисляем позицию мыши относительно центра карточки
                    const mouseX = e.clientX - (rect.left + rect.width / 2);
                    const mouseY = e.clientY - (rect.top + rect.height / 2);
                    
                    // Вычисляем углы поворота
                    const rotateX = (mouseY / (rect.height / 2)) * -10;
                    const rotateY = (mouseX / (rect.width / 2)) * 10;
                    
                    // Применяем трансформацию
                    card.style.transform = `
                        perspective(1000px)
                        rotateX(${rotateX}deg)
                        rotateY(${rotateY}deg)
                        translateZ(10px)
                    `;

// Обновляем эффект блика
                    const glare = card.querySelector('.card-glare');
                    if (glare) {
                        const glareX = ((e.clientX - rect.left) / rect.width) * 100;
                        const glareY = ((e.clientY - rect.top) / rect.height) * 100;
                        glare.style.background = `
                            radial-gradient(
                                circle at ${glareX}% ${glareY}%,
                                rgba(255, 255, 255, 0.08) 0%,
                                rgba(255, 255, 255, 0.03) 25%,
                                rgba(255, 255, 255, 0) 50%
                            )
                        `;
                    }
                };

const handleLeave = () => {
                    let CardRotate = 0;
                    let CardTranslateX = 0;

if(card.classList.contains('login-form')){
                        CardRotate = 25;
                        CardTranslateX = -50;
                    } else if(card.classList.contains('register-form')){
                        CardRotate = -25;
                        CardTranslateX = 50;
                    } else if(card.classList.contains('recovery-card')){
                        CardRotate = 0;
                        CardTranslateX = 0;
                    } else if(card.classList.contains('verification-card')){
                        CardRotate = 0;
                        CardTranslateX = 0;
                    } else {
                        CardRotate = 0;
                        CardTranslateX = 0;
                    }

// Плавно возвращаем в исходное положение
                    card.style.transform = `
                        perspective(1000px)
                        rotateX(0deg)
                        rotateY(${CardRotate}deg)
                        translateX(${CardTranslateX}px)
                        translateY(0)
                        translateZ(-100px)
                    `;

const glare = card.querySelector('.card-glare');
                    if (glare) {
                        glare.style.background = 'none';
                    }
                };

// Добавляем слушатели событий
                card.addEventListener('mousemove', handleMove);
                card.addEventListener('mouseleave', handleLeave);

// Добавляем элемент для блика
                const glare = document.createElement('div');
                glare.className = 'card-glare';
                card.appendChild(glare);
            });
        </script>
    </body>
</html>

CSS

:root {
    --bg: #101010;
    --auth-bg: #101010;
    --auth-text: #fff;
}

body {
    margin: 0;
    padding: 0;
    min-height: 100vh;
    background: linear-gradient(
        350deg,
        #5b72f3, #8B9BFA, #6B7280, #4B5563,
        #395375, #373d80, #203552, #1E3A8A,
        #3c65d6, #33569c, #162b53, #18243a,
        #3b5996, #375daa, #103c94, #2c426d
    );
    background-size: 400% 400%;
    animation: gradient 30s ease infinite;
}

@keyframes gradient {
    0% { background-position: 0% 50%; }
    50% { background-position: 100% 50%; }
    100% { background-position: 0% 50%; }
}

.auth-form{
    background: rgba(255, 255, 255, 0.1);
    backdrop-filter: blur(20px);
    -webkit-backdrop-filter: blur(20px);
    border: 1px solid rgba(255, 255, 255, 0.2);
    border-radius: 24px;
    margin: 0 8rem 0 8rem;
    padding: 40px;
    transform-style: preserve-3d;
    transition: all 0.6s cubic-bezier(0.23, 1, 0.32, 1);
    box-shadow: 
        0 20px 40px rgba(0, 0, 0, 0.1),
        inset 0 0 80px rgba(255, 255, 255, 0.05),
        inset 0 0 20px rgba(255, 255, 255, 0.05),
        0 0 0 1px rgba(255, 255, 255, 0.1);
    position: relative;
}

.auth-container{
    position: fixed;
    top: 0;
    left: 0;
    width: 100%;
    height: 100%;
    display: flex;
    align-items: center;
    justify-content: space-between;
    perspective: 2000px;
}

.card-content{
    display: flex;
    flex-direction: column;
    align-items: center;
    justify-content: center;
}

.auth-button{
    position: relative;
    width: 200px;
    margin: 25px 0;
    padding: 15px 30px;
    font-size: 1.1rem;
    font-weight: 500;
    color: #ffffff;
    background: linear-gradient(135deg, #ff6b6b, #ff4757);
    border: none;
    border-radius: 12px;
    cursor: pointer;
    transition: all 0.4s cubic-bezier(0.23, 1, 0.32, 1);
    box-shadow: 
        0 5px 15px rgba(255, 71, 87, 0.3),
        inset 0 0 15px rgba(255, 255, 255, 0.1);
    overflow: hidden;
}

.auth-button::before {
    content: '';
    position: absolute;
    top: 0;
    left: -100%;
    width: 100%;
    height: 100%;
    background: linear-gradient(
        90deg,
        transparent,
        rgba(255, 255, 255, 0.2),
        transparent
    );
    transition: 0.5s;
}

.auth-button:hover {
    transform: translateY(-2px);
    box-shadow: 
        0 8px 25px rgba(255, 71, 87, 0.4),
        inset 0 0 20px rgba(255, 255, 255, 0.2);
}

.auth-button:hover::before {
    left: 100%;
}

#forgot-password {
    color: rgba(255, 255, 255, 0.7);
    font-size: 0.9rem;
    text-decoration: none;
    margin-top: 15px;
    transition: all 0.3s ease;
    position: relative;
    display: inline-block;
    cursor: pointer;
}

#forgot-password::after {
    content: '';
    position: absolute;
    width: 100%;
    height: 1px;
    bottom: -2px;
    left: 0;
    background: rgba(255, 255, 255, 0.3);
    transform: scaleX(0);
    transition: transform 0.3s ease;
}

#forgot-password:hover {
    color: #ffffff;
    text-shadow: 0 0 10px rgba(255, 255, 255, 0.5);
}

#forgot-password:hover::after {
    transform: scaleX(1);
}

.auth-card{
    padding: 20px;
    position: relative;
    transform-style: preserve-3d;
    z-index: 1;
    transition: all 0.6s cubic-bezier(0.23, 1, 0.32, 1);
    backface-visibility: hidden;
}

.recovery-card h2,
.verification-card h2,
.auth-card h2 {
    color: #ffffff;
    font-size: 2rem;
    margin-bottom: 30px;
    text-align: center;
    font-weight: 600;
    text-shadow: 0 2px 10px rgba(0, 0, 0, 0.2);
    letter-spacing: 1px;
}

.auth-input{
    display: flex;
    flex-direction: column;
    flex-wrap: nowrap;
}
.auth-input input{
    width: calc(100% - 20px);
    font-size: 1rem;
    margin: 12px 0;
    padding: 16px;
    border: 1px solid rgba(255, 255, 255, 0.2);
    border-radius: 12px;
    background: rgba(255, 255, 255, 0.05);
    backdrop-filter: blur(5px);
    color: #fff;
    transition: all 0.3s ease;
}
.auth-input input::placeholder{
    color: #fff;
}

.auth-input input:hover {
    background: rgba(255, 255, 255, 0.1);
    border-color: rgba(255, 255, 255, 0.3);
}

.auth-input input:focus{
    outline: none;
    background: rgba(255, 255, 255, 0.15);
    border-color: rgba(255, 255, 255, 0.5);
    box-shadow: 
        0 0 20px rgba(255, 255, 255, 0.1),
        inset 0 0 10px rgba(255, 255, 255, 0.05);
    transform: translateZ(5px);
}

.login-form {
    transform: rotateY(25deg) translateZ(-100px) translateX(-50px);
}

.register-form {
    transform: rotateY(-25deg) translateZ(-100px) translateX(50px);
}

.login-form:hover {
    transform: rotateY(15deg) translateZ(50px) translateX(30px);
    box-shadow: -20px 20px 40px rgba(0, 0, 0, 0.3);
    background: rgba(25, 25, 25, 0.3);
    border: 1px solid rgba(255, 255, 255, 0.15);
}

.register-form:hover {
    transform: rotateY(-15deg) translateZ(50px) translateX(-30px);
    box-shadow: 20px 20px 40px rgba(0, 0, 0, 0.3);
    background: rgba(25, 25, 25, 0.3);
    border: 1px solid rgba(255, 255, 255, 0.15);
}

/* Обновляем стили для карточек */
.auth-card {
    padding: 20px;
    position: relative;
    transform-style: preserve-3d;
    z-index: 1;
    transition: all 0.6s cubic-bezier(0.23, 1, 0.32, 1);
    backface-visibility: hidden;
}

/* Стили для основной карточки */
.main-card {
    transform: translateZ(0);
}

/* Добавляем анимации для карточек */
@keyframes endpoint-recovery {
    0% {
        opacity: 0;
        visibility: visible;
        transform: translate(-50%, -50%) rotateY(0deg) translateZ(-100px);
    }
    100% {
        opacity: 1;
        visibility: visible;
        transform: rotateY(-25deg) translateZ(-100px) translateX(100%) translateY(-50%);
    }
}

@keyframes endpoint-verification {
    0% {
        opacity: 0;
        visibility: visible;
        transform: translate(50%, -50%) rotateY(0deg) translateZ(-100px);
    }
    100% {
        opacity: 1;
        visibility: visible;
        transform: rotateY(25deg) translateZ(-100px) translateX(-50px) translateY(-50%);
    }
}

/* Обновляем стили для карточки восстановления */
.recovery-card {
    position: absolute;
    top: 50%;
    left: 35%; /* Центрируем карточку */
    padding: 40px;
    background: rgba(255, 255, 255, 0.1);
    backdrop-filter: blur(20px);
    -webkit-backdrop-filter: blur(20px);
    border-radius: 24px;
    opacity: 0;
    visibility: hidden;
    transform: translate(-50%, -50%) rotateY(0deg) translateZ(-100px);
    transition: none; /* Убираем transition, будем использовать animation */
    border: 1px solid rgba(255, 255, 255, 0.2);
    box-shadow: 
        0 20px 40px rgba(0, 0, 0, 0.1),
        inset 0 0 80px rgba(255, 255, 255, 0.05);
}

/* Обновляем стили для карточки верификации */
.verification-card {
    position: absolute;
    top: 50%;
    left: 35%; /* Центрируем карточку */
    padding: 40px;
    background: rgba(255, 255, 255, 0.1);
    backdrop-filter: blur(20px);
    -webkit-backdrop-filter: blur(20px);
    border-radius: 24px;
    opacity: 0;
    visibility: hidden;
    transform: translate(-50%, -50%) rotateY(0deg) translateZ(-100px);
    transition: none; /* Убираем transition, будем использовать animation */
    border: 1px solid rgba(255, 255, 255, 0.2);
    box-shadow: 
        0 20px 40px rgba(0, 0, 0, 0.1),
        inset 0 0 80px rgba(255, 255, 255, 0.05);
}

/* Применяем анимации при показе карточек */
.show-recovery .recovery-card {
    animation: endpoint-recovery 0.8s cubic-bezier(0.23, 1, 0.32, 1) forwards;
}

.show-verification .verification-card {
    animation: endpoint-verification 0.8s cubic-bezier(0.23, 1, 0.32, 1) forwards;
}

/* Обновляем поведение карточки восстановления при показе верификации */
.show-verification .recovery-card {
    transform: rotateY(-35deg) translateZ(-100px) translateX(50%) translateY(-50%);
}

/* Стили для кнопки "Вернуться назад" */
.back-to-login {
    color: rgba(255, 255, 255, 0.7);
    font-size: 0.9rem;
    text-decoration: none;
    margin-top: 15px;
    transition: all 0.3s ease;
    position: relative;
    display: inline-block;
    cursor: pointer;
}

.back-to-login::after {
    content: '';
    position: absolute;
    width: 100%;
    height: 1px;
    bottom: -2px;
    left: 0;
    background: rgba(255, 255, 255, 0.3);
    transform: scaleX(0);
    transition: transform 0.3s ease;
}

.back-to-login:hover {
    color: #ffffff;
    text-shadow: 0 0 10px rgba(255, 255, 255, 0.5);
}

.back-to-login:hover::after {
    transform: scaleX(1);
}

/* Стили для кнопки "Вернуться к восстановлению" */
.back-to-recovery {
    color: rgba(255, 255, 255, 0.7);
    font-size: 0.9rem;
    text-decoration: none;
    margin-top: 15px;
    transition: all 0.3s ease;
    position: relative;
    display: inline-block;
    cursor: pointer;
}

.back-to-recovery::after {
    content: '';
    position: absolute;
    width: 100%;
    height: 1px;
    bottom: -2px;
    left: 0;
    background: rgba(255, 255, 255, 0.3);
    transform: scaleX(0);
    transition: transform 0.3s ease;
}

.back-to-recovery:hover {
    color: #ffffff;
    text-shadow: 0 0 10px rgba(255, 255, 255, 0.5);
}

.back-to-recovery:hover::after {
    transform: scaleX(1);
}

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