ten little fingers - arvind gupta (4 mb pdf)

THE MOEBIUS TWISTThe Moebius strip is a geometric curiosity. An ordinary square piece of paper has four edgesand two surfaces - the top and the bottom. But the Moebius strip has only one edge and onesurface. It was discovered by a German mathematician and astronomer Augustus Moebius,during the last century.1. Take a full sheet ofnewspaper and cutthree strips 5 cm. wideand about 80 cm. long.2 Label the strips a, b, and c.3. lake strip a and glue theends together, so as tomake a circular loop.4. Give strip b half a turn (180degree) before gluing the endstogether to make a loop.5. Give the last strip c afull turn (360 degrees)before gluing the endstogether to make a loop.6. Now, give the threeloops to three differentfriends. The loops lookalmost the same. Butwhen your friends..7. cut them along themiddle line of eachloop they will be in fora great surprise.8. The first loop Awill get divided intotwo separate loopsof paper.9. Loop B willbecome a singleloop whose lengthwill be double thatof the original loop.10. However, it is the thirdloop C which will surpriseyou the most. It willbecome two loops whichare linked together.