Placeholder: Regular pentagons do not tile the plane, but there are 15 families of irregular convex pentagons that do Regular pentagons do not tile the plane, but there are 15 families of irregular convex pentagons that do

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@generalpha

Prompt

Regular pentagons do not tile the plane, but there are 15 families of irregular convex pentagons that do

1 year ago

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Openjourney

Guidance Scale

16

Dimensions

512 × 768

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Regular pentagons do not tile the plane, but there are 15 families of irregular convex pentagons that do
Regular pentagons do not tile the plane, but there are 15 families of irregular convex pentagons that do
[folding design instructions] Embark on your origami journey with precision and care, starting with a pristine square sheet. Delicately crease along designated lines, focusing on symmetry and alignment for a polished finish. Use your fingertips to secure folds with meticulous precision, ensuring a refined outcome. Patience is paramount in the art of origami - approach each fold with grace and intent. Let your creativity unfold elegantly as you craft each delicate masterpiece with devotion.
The three regular tilings of the plane.
Roger Penrose’s aperiodic tiles. Left: Rhombuses, or “rhombs.” Right: Kites and darts.
The three regular tilings of the plane.
Roger Penrose’s aperiodic tiles. Left: Rhombuses, or “rhombs.” Right: Kites and darts.
Regular pentagons do not tile the plane, but there are 15 families of irregular convex pentagons that do
Regular pentagons do not tile the plane, but there are 15 families of irregular convex pentagons that do
Regular pentagons do not tile the plane, but there are 15 families of irregular convex pentagons that do
Two shapes: Ah, the shift in distribution within measure theory, a wondrous transformation indeed! It expands our understanding beyond traditional functions, embracing generalized forms. Test functions play a vital role, enabling distributions to transcend pointwise limitations.
Regular pentagons do not tile the plane, but there are 15 families of irregular convex pentagons that do
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