Balancing Innovation with Accuracy or the Einstein Tile

How do you (or can you) balance innovation with accuracy? 

My first thought is that this is a much like mixing oil with water –  they won’t mix. 

The process of innovation/ creativity is often mistaken for chaos and disorder (which is often a first step in discovering something new), whereas accuracy is more about purity and clarity. 

Initially, chaos doesn’t fit into the concept of accuracy.

·       Accuracy = the state of being absolutely correct and making no mistakes, especially through focused and careful effort. To be accurate, correct, making no mistakes, agreeing exactly with the truth or a standard (performed with care).

·       Innovation = something new that is introduced – an idea or method.  To innovate – to make changes to what is, to introduce new ideas, methods (to renew).

Therefore, you innovate ‘away’ from accuracy to create a new way of seeing something.  For innovation to occur it is important that whatever the ‘it’ is can be freed at the start from any measures of accuracy. 

Once created, the new thing could, perhaps, have measures of accuracy attached to it:  ‘This is what the new thing is like/ looks like, etc.’, and ‘this is what it is not like’. 

You apply the measures AFTER the innovation is identified.  

Here is a brilliant example of something very new in mathematics.

The Einstein Tile

This is the new, thirteen-sided non-repeatable mathematical pattern.

The identification and codification of what is and what is not a complete Einstein Tile, happens once the seeming randomness of the discover settles into something that can be repeatedly seen and thus, be defined.  

Once defined it can be ‘measured’ to be accurate or not.

Well that is my thinking on the topic and would welcome other thoughts.

Here's a link to an article about Einstein Tile:

https://www.livescience.com/newly-discovered-einstein-tile-is-a-13-sided-shape-that-solves-a-decades-old-math-problem