177by177

177by177 refers to a two-dimensional grid consisting of 177 rows and 177 columns. The size is usually written as 177 by 177 or 177×177; the total number of cells in the grid is 177 squared, equal to 31,329.

In digital imaging and data processing, a 177 by 177 grid can represent a small grayscale image with 31,329 pixels or a block of data arranged in a matrix. If stored as color, with three channels, it would encompass 93,987 channel values. This size is used for demonstrations, testing, or as a fixed input dimension in small-scale experiments.

In mathematical contexts, 177 by 177 grids appear in tiling problems, grid graphs, and convolutional operations. Because 177 is odd, there is a central cell, at position (89,89) in 1-based indexing; with zero-based indexing it is (88,88). The grid exhibits symmetry under horizontal, vertical, and diagonal reflections, which can simplify certain analyses or visualizations.

Variants and practical considerations include the fact that many software libraries and machine learning models expect standardized input sizes. A 177 by 177 grid is non-standard, so cropping from larger images or padding smaller ones is common to fit specific pipelines. When used as a color image, memory and storage requirements scale with three channels, compared to a single grayscale channel.

See also: NxN matrix, image resolution, grid graph.