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

2 years ago

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Model

22h Diffusion

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
Roger Penrose’s aperiodic tiles. Left: Rhombuses, or “rhombs.” Right: Kites and darts.
The three regular tilings of the plane.
Regular pentagons do not tile the plane, but there are 15 families of irregular convex pentagons that do
Roger Penrose’s aperiodic tiles. Left: Rhombuses, or “rhombs.” Right: Kites and darts.
How many ways are there to paint 6 faces of similar cubes with six colours (1,...,6) [one per face] so that no two of the coloured cubes obtained would be the same (could not be transformed one into another by a rotation)?
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.
Regular pentagons do not tile the plane, but there are 15 families of irregular convex pentagons that do
[in outer space with celestial objects by Rogelio Bernal Andreo] Creating an origami satellite made of newspapers? Now that's a challenge. Imagine folding the newspaper pages with precision, forming intricate creases to mold the shape of a satellite floating in space. The black and white print of the newspaper adds a unique texture to the origami creation, giving it a rustic and artistic look. The satellite's solar panels delicately crafted from news headlines, its antennas made from classified
Roger Penrose’s aperiodic tiles. Left: Rhombuses, or “rhombs.” Right: Kites and darts.
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