5
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enter image description here

a) Remove some of the match sticks from the above 2 x 2 x 1 surface grid to reveal the figures below. enter image description here

Rotation, flipping, segment sharing are allowed.enter image description here

b) Place some match sticks on the above 1 x 1 x 2 grid to create the figures below.enter image description here

Rotation, flipping, segment sharing are allowed. Congruent digits as one and bending are also allowed.

How can these be done?

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  • $\begingroup$ There are 12 different possible places in a. Do we just leave some blank? $\endgroup$ – Beastly Gerbil Jun 11 '17 at 17:00
  • $\begingroup$ Yes ,some blank segments $\endgroup$ – TSLF Jun 12 '17 at 0:44
  • $\begingroup$ in the first question, figure 1 doesn't have blank segments? $\endgroup$ – Jamal Senjaya Jun 12 '17 at 2:38
  • $\begingroup$ @Jamal Senjaya-Yes,since figure 1 is surrounded by spaces, its blank segments can be not within the grid $\endgroup$ – TSLF Jun 12 '17 at 3:26
  • $\begingroup$ Are we supposed to imagine that this is an opaque object, or would match sticks not directly on the face we look at also be visible through? i.e. the opposite face and any edge face sticks $\endgroup$ – Ian MacDonald Jun 12 '17 at 15:37
4
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I think I have found the answer for the first question

solution

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  • $\begingroup$ Where's "1" in this answer? $\endgroup$ – G0BLiN Jun 12 '17 at 12:08
  • $\begingroup$ @G0BLiN : Figure 1 doesn't have blank segment, so just assume 7 also contains 1. $\endgroup$ – Jamal Senjaya Jun 12 '17 at 14:25
  • $\begingroup$ @JamalSenjaya-ok with type of 7 and 1 is not a problem but note that a) dont allow congruent as one (only in b)) ,so we should show 2 , 5, 6 ,9 . $\endgroup$ – TSLF Jun 12 '17 at 15:00

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