Mission impossible?

Geometry Level 2

In how many way(s) can we cut the circle, as shown, into three identical shapes such that each shape is connected and contains exactly three digits sum up to 15?

**Important: A connected shape remains connected despite removal of any point from it.

There are finitely many and more than one way to do it. No way, it is not possible. There is a unique way to do it. There are infinitely many ways to do it.

Chan Lye Lee by Chan Lye Lee , 44, Singapore

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Chan Lye Lee
Jun 30, 2020

This is one possible way to do it.

This is another way.

To get the shape, draw a connected region containing the digits 3, 4 and 8. Cut off the part outside the circle. Rotate the region 120° clockwise about the centre of the circle. Cut off some "unwanted region" (some trial and error) and get the answer.

A slight change of initial shape may change the final outcome. There are infinitely many of ways to start with the initial shape… Hence there are infinitely many such shapes.

Discussion can be found in this video .

2 Helpful 1 Interesting 0 Brilliant 0 Confused

What about straight cuts?

Lâm Lê - 11 months ago

Log in to reply

not possible

Chan Lye Lee - 11 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...