### Asymetric Cantor set

The Cantor set can be developed in an asymetric way.

##### Explanation

The asymetric Cantor set is built by removing the second quarter at each iteration.

Step 0 Step 1 Step 2 Step 3 Step 4

##### Intervals

Each step removes a finite number of intervals and the number of steps is countable. The gray color shows the intervals that are deleted in every following step. It forms a geometric progression, as it consists of

There are no non-zero intervals left.

##### Endpoints

Since each step removes a finite number of intervals and the number of steps is countable, the set of endpoints is countable.

##### Cardinality

The whole Cantor set is uncountable, although the set of endpoints is countable. The Cantor set has the same cardinality as the interval [0,1] and so as the set of real numbers.