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a word that is a mashup of integral and intricate, weaving together both words to form a new meaning.

integral: necessary to the completeness of the whole:

"This point is integral to his plan."

intricate: having many interrelated parts or facets; entangled or involved:

"an intricate maze."

So intrical basically means something that is so important that it cannot be extricated in any way from the whole.
Women became a very intrical part of the Popular Rights Movement.
intrical by Aoren22 April 1, 2011

Intricate 

It is an extremely intricate system.
Intricate by Pacchu Nagari March 3, 2009

Intricated

To intricate someone; to bring people on board or to get them onside with an idea or a proposal or an initiative of some type by getting them intricated into the process bit by bit, almost without their noticing that they are making a commitment.
When a group was trying to Bring Back the Ottawa Senators in 1990, a team that had not played in the National Hockey League for nearly 60 years, one of their key advisers, former US Attorney General, Elliot Richardson (now deceased) said: "First we'll get the League’s Board of Governors intricated then we'll get the (expansion) franchise!"
Intricated by Prof Bruce March 5, 2009

Intriculation

Noun:
The act of receiving semen. (Typically in the vagina);
The opposite of ejaculation
Man: I’m about to ejaculate!
Woman: I’m ready for intriculation!
Intriculation by Rexbo May 13, 2018

Intricarved

Intricarved is a sculptural technique that contains a picture/image or patterns in two or more colours created by Australian sculptor Cal the Stoner (Prohasky) in 2011. The lines, textural features and colour changes in an intricarved sculpture are those found naturally within the stone. The lines and colour variations needed for each separate stone in the sculpture are found in larger pieces of stone, Cal then uses his hammer and chisel to get the piece out and then shape it's features to form the next interlocking piece. The process repeated until the sculpture is completed. In The Andamooka Tiger’s case over 2000 times. Though some individual stone faces are the size of a small coin they have a depth of 25mm (1 inch) to 100mm (4 inches). No stones are a thin facade like a tile, they all have depth and strength where each added stone compounds the inner strength.
The Andamooka Tiger is an Intricarved sculpture by Cal the Stoner.
Intricarved by Stealing Pallets October 24, 2023

intricate 

On a broad level it refers to something that is highly complex and involved.

On a more intricate level, it refers to something that has succeeded in the capture of complex details. The kind of details, like subtle mannerisms, that you take for granted in day-to-day life but are like little puzzle pieces that form the world around you, reality. That's why a lot of movies and such never seem truly realistic because they are lacking in the intricacies that inhabit the real-world. But when it happens, it's a good feeling to recognize the intricacies of the real-world successfully captured and portrayed in the fictional realm.
Man, this cartoon I am watching is intricate!
intricate by TimeCrime March 18, 2010