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

Jan 03, 2016

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

The impossible triangle

Maria Jukić & Renata Krešomentor: prof. Marina Ninković

XV. gimnazija, Zagreb

Page 2: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.

Penrose triangle

never ending trianglecreated by Oscar Reutersvärdpopularised by Roger Penroseoften called impossibility in its purest

formnot that hard to draw...

Page 3: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.

Step 1

first draw an equilateral triangle

Page 4: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.
Page 5: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.

Step 2

draw three lines parallel with the sides of the triangle

lines should be inside the triangleeach line should be equally

distanced from the sides of the triangle

Page 6: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.
Page 7: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.

Step 3

draw another three lines by repeating step 2

this time keep the lines inside the smaller triangle you drew

Page 8: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.
Page 9: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.

Step 4

outline the biggest triangleconnect the intersections of the lines

from step 2 and the biggest triangle

Page 10: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.
Page 11: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.

Step 5

now need you do some more outlining which is difficult to explain so just follow our image

Page 12: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.
Page 13: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.

Step 6

you’re almost doneerase the leftover lines

Page 14: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.
Page 15: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.

Step 7

for a better effect we suggest adding some shadowsshadows

Page 16: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.
Page 17: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.

Other Penrose polygons

Penrose square Penrose pentagon

Page 18: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.

Penrose hexagon Penrose octagon

Page 19: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.

Real life

a big size model of the impossible triangle is found in Perth, Australia

Page 20: The impossible triangle Maria Jukić & Renata Krešo mentor: prof. Marina Ninković XV. gimnazija, Zagreb.

Thank you for your attention!