I have taken the traditional granny square and made some modifications to improve the look of the square. Both the single and multicolour versions of this pattern are included in the Beginner Granny Square Collection eBook. There are also free video tutorials.

Multicoloured
Right handed: https://youtu.be/3DHfp8agHE0?si=AFeFrVKIL9czjtfn
Left handed: https://youtu.be/sND5d0q7Z9c?si=l3eeSnc0S4Mc4epd

Single colour
Right handed: https://youtu.be/wscK3pz33S8?si=lCvfwwLFZtAyox9N
Left handed: https://youtu.be/SPFg_71trzw?si=CYFXK8hqPrvtbXN9