The impossible triangle

1. Theimpossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb

2. Penrose triangle • never ending triangle • created by Oscar Reutersvärd • popularised by Roger Penrose • often called impossibility in its purest form • not that hard to draw...

3. Step 1 • first draw an equilateral triangle

5. Step 2 • draw three lines parallel with the sides of the triangle • lines should be inside the triangle • each line should be equally distanced from the sides of the triangle

7. Step 3 • draw another three lines by repeating step 2 • this time keep the lines inside the smaller triangle you drew

9. Step 4 • outline the biggest triangle • connect the intersections of the lines from step 2 and the biggest triangle

11. Step 5 • now needyou do some more outlining which is difficult to explain so just follow our image

13. Step 6 • you’re almost done • erase the leftover lines

15. Step 7 • for a better effect we suggest adding some shadows

17. Penrose square Penrose pentagon Other Penrose polygons

18. Penrose hexagon Penrose octagon

19. Real life • a big size model of the impossible triangle is found in Perth, Australia

20. Thank you for your attention!