Trikonic, is a technique of triadic analysis-synthesis which has been developed by Gary Richmond based on the original idea of a possible applied science making three categorial distinctions, which philosopher Charles Sanders Peirce, its creator, called “Trichotomic.” Peirce introduces trichotomic as the "art of making three-fold divisions.” The symbol shown in Figure 1.0 is referred to as the ‘trikon’ symbol by Richmond (2005). It displays the divisions of three categorial elements and their relationship for the subject in consideration Trikonic Analysis/Peircean Category Theory A major part of trikonic analysis is the three Peircean categories; these consist of firstness, secondness and thirdness: "Firstness is the mode of being that of which is such as it is, positively and without reference to anything else. Secondness is the mode of being that which is such as it is, with respect to a second but regardless of any third. Thirdness is the mode of being that which is such as it is, in bringing a second and third into relation to each other." Another way of describing the basic understanding of these notions is from Sowa: “First is the conception of being or existing independent of anything else. Second is the conception of being relative to, the conception of reaction, with something else. Third is the conception of mediation, whereby a first and a second are brought into relation. (1891)” Trikonically represented, the categories are (Figure 2.0): There are many ways in which these notions can be interpreted. These can be represented as: Peirce's Three Universes of Experience (Figure 3.0): These in turn represent Peirce's three Universal Categories (Figure 4.0 The Universal Categories): In addition to the universal categories, there are equivalent Existential Categories (Figure 5.0 The Existential Categories): We can also trikonically analyse thought, by identifying three Logical Modalities (Figure 6.0 The Logical Modalities): With these representations in mind, firstness, secondness and thirdness can be defined as the following: Firstness is concerned with ideas, character, qualities, feeling, image and possibility. Secondness signifies events, brute actions, reactions, existence and character. Thirdness brings together firstness in relation to secondness. Vector Analysis There are six vectors that can be used in trikonic vector analysis; these are shown in Figure 7.0. These six vectors have also been referred to as “directions of movement through the trikon” (Richmond, 2005). They are authentic permutations of the triad, i.e. they are different arrangements of the order of firstness, secondness and