About

This tool visualizes the complete 15-bit RGB color space by generating a single image where every pixel is a unique color. In a standard 5-5-5 bit depth system, each color channel (Red, Green, Blue) has 32 possible intensity levels (0-31).

By multiplying these possibilities (R × G × B), we get exactly 32,768 unique combinations. We map these colors onto a 256 × 128 pixel canvas. Since 256 × 128 equals 32,768, the canvas has precisely enough room to display every single color exactly once, with no duplicates and no omissions.

Formulas

To convert the internal 5-bit color values (v₅) to the standard 8-bit CSS display values (v₈), we scale the integer range [0, 31] to [0, 255]:

v₈ = roundv₅ × 25531

This ensures that the maximum value of 31 maps perfectly to pure white (255) or pure color.

Reference Data

Bit Depth	Bits per Channel	Levels per Channel	Total Colors	Formula
8-bit (VGA)	3-3-2	8 / 8 / 4	256	256=2⁸
15-bit (High Color)	5-5-5	32	32,768	2⁵ × 2⁵ × 2⁵
16-bit (High Color)	5-6-5	32 / 64 / 32	65,536	2¹⁶
24-bit (True Color)	8-8-8	256	16,777,216	2²⁴

Frequently Asked Questions

The math dictates the geometry. We have 32,768 colors to display. The canvas area (Width × Height) must equal this number. 256 × 128 = 32,768. Other valid dimensions would be 128x256 or 512x64, but 2:1 is a pleasing aspect ratio.

Correct. The algorithm generates a list of every possible (R, G, B) combination where each component is an integer between 0 and 31. This list is then shuffled or sorted and plotted. No color is repeated.

This is a 15-bit color space, which has fewer steps than the 24-bit "True Color" (16 million colors) modern screens use. The "steps" between colors are larger, making the transitions visible.

The Hilbert Curve is a continuous fractal space-filling curve. It traverses the 2D image while preserving locality, meaning colors that are close in the sorted list remain close physically on the canvas.