Abstract: Ordered pattern are generated based on an existing image by providing an isosceles right triangle-shaped first image, and creating a second image based thereon. The second image at least includes a first portion entirely formed from a plurality of mirrored or unmirrored, rotated or unrotated, and non-overlapping instances of the first image arranged in the shape of a complete rectangle. The legs of the complete rectangle are at least as long as either the legs or the hypotenuse of the isosceles right triangle. The first portion of the second image encompasses an area at least twice that of the first image. The plurality of instances of the first image are joined at their respective isosceles right triangle hypotenuses, legs, and corners. A computer system for performing various embodiments of such method is provided, as are a wide variety of products adorned with attractive examples of such ordered images.

Abstract: Ordered pattern are generated based on an existing image by providing an isosceles right triangle-shaped first image, and creating a second image based thereon. The second image at least includes a first portion entirely formed from a plurality of mirrored or unmirrored, rotated or unrotated, and non-overlapping instances of the first image arranged in the shape of a complete rectangle. The legs of the complete rectangle are at least as long as either the legs or the hypotenuse of the isosceles right triangle. The first portion of the second image encompasses an area at least twice that of the first image. The plurality of instances of the first image are joined at their respective isosceles right triangle hypotenuses, legs, and corners. A computer system for performing various embodiments of such method is provided, as are a wide variety of products adorned with attractive examples of such ordered images.