Assorted Brain Teasers by Kundan Pangtey - HTML preview

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TEASER - 13

HEAD MASTER

Ramayan   is   one   of   the   greatest   epic   of   Hindu   (Indian) Mythology. It is a saga of victory of god Ram, with the help of god  Hanuman  over  the  evil  Ravan.  The  saga  is  entwined  with multiple kings and warriors. One out of following kings had an asymmetrical body, which one was that?

(a) Ravan, the demon king

(b) Sugreev, the monkey king

(c) Jatayu, the vulture king

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THE EXPLANATION:

Symmetry  is  the  preservation  of  form  and  configuration  across  a point, a line, or a plane where shape on one side match exactly to the shape on another side.

There can be several different types of symmetry and in each type, characteristics such as angles, side lengths, distances, shapes, and sizes  are  maintained.  The  main  types  of  symmetry  include:  a) rotation, b) translation, c) glide-translation and d) reflection etc.

The   rotational   symmetry   results   from   the   transformation   called rotation, which is the turning of a shape around a center point or the center  of  rotation.  The  distance  to  the  center  of  rotation  is  kept constant and the amount of turning called the angle, is measured in degrees.

The  translational  symmetry  results  from  the  transformation  called translation,  which is just another term for  "movement"  with specific direction  and  magnitude.  Translation  is  making  a  copy  and  then moving it.

The glide reflective symmetry results from the transformation called glide  reflection  and  is  actually  a  combination  of  a  reflection  and  a translation.

The Reflection symmetry is the most familiar type of symmetry which is  also  known  as  line  or  bilateral  symmetry.  This  result  from  the transformation  called  reflection  occurring  across  a  line  or  the  axis. The corresponding point is at same distance from the axis as is the original point.  Reflection may happen first  or  second but  the figure that results after a reflection and translation is called glide reflection of the original figure.

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SYMMETRICAL IMAGE ON EITHER SIDE OF A VERTICAL LINE

(Reflection symmetry)

Human and animal bodies are bilateral symmetries because one half (right  side)  is  exact  correspondence  of  other  half  (left  side)  on opposite side of  a dividing plane passing through the center of the body.

In the Hindu epic Ramayan, Ravan was the demon king and he had ten  heads  on  his  solder.  The  Ravan  had  tormented  god  Ram  and had abducted his wife Sita. God Ram killed the demon king Ravan over  a long  battle with the help of  Hanuman, the monkey god, the Sugreev, the monkey king, Jatayu, the vulture king and Jamvant, the bear king among others.

Ten heads of Ravan was arranged in ‘T’ shaped pattern. The central head, attached to a single neck, was flanked by four heads on one side and five heads on other side making total ten.

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TEN HEADED RAVAN WITH SINGLE NECK

Therefore  the  unequal  number  of  heads  on  either  side  of  central head created an imbalance and assymetricity in the body of Ravan, the demon king.

In terms of assymetricity, Ravan had inherited a defective body. It is possible that he was constantly troubled by the assymetricity of his body manifesting in his violent behavior and hot headedness.

To create a perfect symmetrical body for Ravan with ten heads, the heads  must  have  to  be  arranged  in  a  ‘Y’  shaped  pattern  with  two central  heads  attached  to  a  ‘Y’  shaped  neck.  The  neck  would  be branching  so that  five  (5)  heads  are  equally divided  on  either  side and are balanced.

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TEN HEADED RAVAN  WITH TWO NECKS

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