Apresentação GD.pptx_analiseanalise e reflexão

analise e reflexão sobre GD

1. A 4ªDimensão Uma proposta de sequela para  Flatland - A Romance of Many Dimensions de Edwin Abbott

2. (…)I  began  to  approach   the   Stranger   with   the   intention   of   taking  a  nearer     view   and   of   bidding   him   be   seated :  but   his   appearance   struck  me  dumb     and   motionless   with   astonishment .  Without   the   slightest   symptoms   of     angularity   he   nevertheless   varied   every   instant   with   gradations   of   size   and   brightness    scarcely   possible  for  any  Figure  within   the scope of   my     experience . (…) APARIÇÃO DA ESFERA

3. APARIÇÃO DA ESFERA DA PRESPETIVA DO QUADRADO Stranger. Pooh! what do you know of Space? Define Space. I. Space, my Lord, is height and breadth indefinitely prolonged. Stranger. Exactly: you see you do not even know what Space is. You think it is of Two Dimensions only; but I have come to announce to you a Third—height, breadth, and length.

4. A 4ª Dimensão (…) My Lord, your own wisdom has taught me to aspire to One even more great , more beautiful , and more closely approximate to Perfection than yourself . As you yourself , superior to all Flatland forms , combine many Circles in One , so doubtless there is One above you who combines many Spheres in One Supreme Existence , surpassing even the Solids of Spaceland . And even as we , who are now in Space , look down on Flatland and see the insides of all things , so of a certainty there is yet above us some higher , purer region , whither thou dost surely purpose to lead me.(…)

5. Se escrevêssemos uma sequela do livro " Flatland " em que a Esfera é visitada por uma esfera que habita na 4ª Dimensão, qual seria a representação da esfera da 4ª Dimensão vista da perspetiva da esfera da terceira dimensão (de Spaceland )?

6. Proposta de Representação da Hiperesfera