integrate this exact pattern into that rendering engine:


```
<!DOCTYPE html>
<html lang="en">

<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>Dynamic Radial Pixel Grid</title>
    <style>
        body {
            display: flex;
            justify-content: center;
            align-items: center;
            height: 100vh;
            background-color: #f0f0f0;
            margin: 0;
        }

        .grid {
            display: grid;
            grid-template-columns: repeat(15, 1fr); /* Adjust as necessary */
            grid-template-rows: repeat(15, 1fr); /* Adjust as necessary */
            gap: 0; /* No gap */
        }

        .grid-item {
            display: flex; /* Use flexbox to center contents */
            justify-content: center; 
            align-items: center;
            position: relative; /* Position relative for child elements */
        }

        .pixel {
            box-sizing: border-box;
            border-radius: 50%; /* Make pixels circular */
        }
    </style>
</head>

<body>
    <div class="grid" id="pixelGrid"></div>

    <script>
        const radialDownscaleFromTheCenter = [
            "       0       ",
            "      010      ",
            "     01210     ",
            "    0123210    ",
            "   012343210   ",
            "  01234543210  ",
            " 0123456543210 ",
            "012345676543210",
            " 0123456543210 ",
            "  01234543210  ",
            "   012343210   ",
            "    0123210    ",
            "     01210     ",
            "      010      ",
            "       0       ",
        ];

        const generateGrid = (structure) => {
            const grid = document.getElementById('pixelGrid');
            grid.innerHTML = ''; // Clear existing elements
            structure.forEach((row) => {
                row.split('').forEach((character) => {
                    const div = document.createElement('div');
                    const size = getPixelSize(character); // Get size based on character
                    const pixel = document.createElement('div');
                    pixel.className = 'pixel'; // Set class for pixel styling
                    pixel.style.width = `${size}px`; // Set dynamic width
                    pixel.style.height = `${size}px`; // Set dynamic height
                    pixel.style.backgroundColor = getPixelColor(character); // Set color

                    div.className = 'grid-item'; // Assign grid item class
                    div.appendChild(pixel); // Append pixel to grid item
                    grid.appendChild(div); // Append grid item to grid
                });
            });
        };

        const getPixelSize = (char) => {
            switch (char) {
                case '0': return 10; // Size for center
                case '1': return 15; // Size for first ring
                case '2': return 20; // Size for second ring
                case '3': return 25; // Size for third ring
                case '4': return 30; // Size for fourth ring
                case '5': return 35; // Size for fifth ring
                case '6': return 40; // Size for sixth ring
                case '7': return 45; // Size for seventh ring
                case '8': return 50; // Size for eighth ring
                case '9': return 55; // Size for ninth ring
                default: return 0; // No size for undefined characters
            }
        };

        const getPixelColor = (char) => {
            switch (char) {
                case '0': return '#FFC107'; // Center
                case '1': return '#FF5722'; // First ring (eyes)
                case '2': return '#8BC34A'; // Second ring (hair)
                case '3': return '#3F51B5'; // Third ring (hair)
                case '4': return '#FFEB3B'; // Fourth ring (hair)
                case '5': return '#303F9F'; // Fifth ring (hair)
                case '6': return '#FF5722'; // Sixth ring (eyes)
                case '7': return '#FF5722'; // Seventh ring (eyes)
                case '8': return '#FF5722'; // Eighth ring (eyes)
                case '9': return '#FF5722'; // Ninth ring (eyes)
                default: return 'transparent'; // No color
            }
        };

        // Generate the radial downscale grid on load
        generateGrid(radialDownscaleFromTheCenter);
    </script>
</body>

</html>
```



integrate everything properly strictly fullyfledgly into this rendering engine:


```
<!DOCTYPE html>
<html lang="en">

<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>Advanced Pixel Rendering Engine</title>
    <style>
        body {
            margin: 0;
            overflow: hidden;
            height: 100vh;
        }

        .grid-container {
            display: grid;
            position: absolute;
            top: 0;
            left: 0;
            right: 0;
            bottom: 0;
            grid-auto-rows: 1fr;
            grid-auto-columns: 1fr;
        }

        .grid {
            display: grid;
            grid-template-columns: repeat(15, 1fr);
            grid-template-rows: repeat(15, 1fr);
        }

        .grid-item {
            width: 100%;
            height: 100%;
        }

        .pixel {
            width: 100%;
            height: 100%;
            box-sizing: border-box;
            transition: background-color 0.1s;
            border: 0.2px solid transparent;
            will-change: background-color;
        }

        #infoOverlay {
            position: absolute;
            top: 10px;
            right: 10px;
            background: rgba(255, 255, 255, 0.85);
            padding: 10px;
            border-radius: 5px;
            z-index: 10;
        }
    </style>
</head>

<body>
    <div id="infoOverlay">
        <div>Total Pixels: <span id="pixelCount">0</span></div>
        <div>Available Memory Chunks: <span id="memoryChunks">0</span></div>
        <div>Render Complexity: <span id="renderComplexity">0</span></div>
    </div>

    <div class="grid-container" id="gridContainer"></div>

    <script>
        const pixelPattern = [
            "       0       ",
            "      010      ",
            "     01210     ",
            "    0123210    ",
            "   012343210   ",
            "  01234543210  ",
            " 0123456543210 ",
            "012345676543210",
            " 0123456543210 ",
            "  01234543210  ",
            "   012343210   ",
            "    0123210    ",
            "     01210     ",
            "      010      ",
            "       0       ",
        ];

        const colors = {
            '0': '#FFC107',
            '1': '#FF5722',
            '2': '#8BC34A',
            '3': '#3F51B5',
            '4': '#FFEB3B',
            '5': '#303F9F',
            '6': '#FF5722',
            '7': '#FF5722',
            '8': '#FF5722',
            '9': '#FF5722'
        };

        const maxPixels = 50000;
        const memoryPool = [];
        let totalPixelsRendered = 0;

        function allocateMemoryPool(size) {
            for (let i = 0; i < size; i++) {
                const pixel = document.createElement('div');
                pixel.className = 'pixel';
                memoryPool.push(pixel);
            }
        }

        allocateMemoryPool(maxPixels);

        function createGrid() {
            const grid = document.createElement('div');
            grid.className = 'grid';
            pixelPattern.forEach(row => {
                row.split('').forEach(character => {
                    const pixel = createPixel(character);
                    const gridItem = document.createElement('div');
                    gridItem.className = 'grid-item';
                    gridItem.appendChild(pixel);
                    grid.appendChild(gridItem);
                });
            });
            return grid;
        }

        function createPixel(character) {
            const pixel = memoryPool.pop() || document.createElement('div');
            pixel.className = 'pixel';
            pixel.style.backgroundColor = getPixelColor(character);
            pixel.addEventListener('click', () => {
                pixel.style.backgroundColor = changeColor(pixel.style.backgroundColor);
            });
            pixel.addEventListener('mouseover', () => {
                highlightPixel(pixel);
            });
            pixel.addEventListener('mouseout', () => {
                resetPixel(pixel, character);
            });
            return pixel;
        }

        function getPixelColor(char) {
            return colors[char] || 'transparent';
        }

        function changeColor(currentColor) {
            const colorMap = {
                '#FFC107': '#FF9800',
                '#FF5722': '#FF4081',
                '#8BC34A': '#7CB342',
                '#3F51B5': '#2196F3',
                '#FFEB3B': '#FFC107',
                '#303F9F': '#424242'
            };
            return colorMap[currentColor] || '#9E9E9E';
        }

        function highlightPixel(pixel) {
            pixel.style.border = '1px solid #000';
        }

        function resetPixel(pixel, character) {
            pixel.style.border = '0.2px solid transparent';
            pixel.style.backgroundColor = getPixelColor(character);
        }

        function fillGridContainer() {
            const gridContainer = document.getElementById('gridContainer');
            gridContainer.innerHTML = ''; // Clear previous grids
            const pixelSize = Math.floor(window.innerWidth / 15);
            const cols = Math.floor(window.innerWidth / pixelSize);
            const rows = Math.floor(window.innerHeight / pixelSize);
            
            gridContainer.style.gridTemplateColumns = `repeat(${cols}, 1fr)`;
            gridContainer.style.gridTemplateRows = `repeat(${rows}, 1fr)`;

            for (let i = 0; i < cols * rows; i++) {
                const gridClone = createGrid();
                gridContainer.appendChild(gridClone);
            }
            totalPixelsRendered = cols * rows * pixelPattern.length * pixelPattern[0].length;
            updateInfoOverlay();
        }

        function updateInfoOverlay() {
            document.getElementById('pixelCount').textContent = totalPixelsRendered;
            document.getElementById('memoryChunks').textContent = Math.ceil(memoryPool.length / 1000);
            document.getElementById('renderComplexity').textContent = calculateComplexity();
        }

        function calculateComplexity() {
            return document.querySelectorAll('.pixel').length;
        }

        fillGridContainer();

        window.addEventListener('resize', () => {
            fillGridContainer();
        });

        function renderLoop() {
            updateInfoOverlay();
            requestAnimationFrame(renderLoop);
        }

        renderLoop();

        setInterval(() => {
            if (memoryPool.length < 100) {
                allocateMemoryPool(100);
            }
        }, 6000);

    </script>
</body>

</html>
```