A new observable pattern is found that reaffirms the design proposed on the Periodic Table presented by authors in a report prior to this one; the update is based on the previously presented model, now with the found pattern it is reconfigured by folding the proposed Periodic Table in the form of a ladder, by folding it the double position that Hydrogen has is identified; so we will also find that the Periodic Table is a projection of the Moeller diagram. In this update with the identified pattern, we find the diagonals that fold the design proposed by the authors in 2020. The key to carry out thisresearch work with all certainty has been Didactics, being an extension of articles prior to this one. The teaching method is precisely to teach to think and the learning method consists of favoring basic and superior cognitive processes. Five proposals are related by different authors, from different backgrounds, from different places, at different times, by different methods, which converge in different aspects to this update and one of them is approached.The objectives of this documentary and explanatory research as a result of teaching praxis are to facilitate learning, contribute to science and education, as well as professional improvement.