Ehtnomathematics "The mathematics which is practiced among identifiable cultural groups such as national-tribe societies, labour groups, children of certain age brackets and professional classes" (D‘Ambrosio, 1985).
What follows is on-going dialogic between myself and several colleagues:
For Diane Walker storytelling is a Tesseract - 4-dimension cube within a cube. http://en.wikipedia.org/wiki/Tesseract Here is a visual of the morphing that occurs in the 4h dimension http://en.wikipedia.org/wiki/Image:8-cell-simple.gif Walker (2008, class presentation) proposes "a model for how schools can move from linear narratives to tesseract antenarratives for holistic critical literacy."
For Steve King and I, the holograph is something we call 'Story Dome" http://peaceaware.com/stori/STORI_STORY_DOME.htm We are looking at how over-arching narratives (such as Declaration of Independence) contain living story unfoldment, and antenarrative bets on the future. Whereas Lyotard (1984) would dismiss all grand narrative, some quire important to retain in their overarching position.
For Steve DeGiuiio "Polphonic storying is sense making in balance with the awareness that we really can't make sense of anything, ever. Sense making is not understanding, which is impossible, it is the (joint) creation of-- "peldaños de la consciencia" --stepping stones through complexity and chaos. Stepping stones/stories/antenarratives/master narratives crashing apart/gossip/white lies/party lines/attitudes/jokes, etc, that dissolve in the telling but that can keep us right here enmeshed in reality/actualaity from moment to moment in a way that is nothing like linear, not even in temporal terms. (Cue up Bob Dylan: "I was so much older then, I'm younger than that now")."
N-DIMENSIONAL THINKING - A sphere in native cosmology is 360 degrees, with the person extended in all directions. For me, there is a reclaiming of metaphysics from its severe truncation by Kant (Critique of Pure Reason, where systems are defined as a cognitive architectonic frame in next to last section of the book), banishment of spiritual by Modernity's Enlightenment Project, the Neitzsche declaration, "God is Dead" (Gay Science book), and Pondy who edits Boulding's open systems theory listing to erase it. But here I think that work by postcolonial writers is quite helpful. Sandoval, for example, takes Jameson to task for turning postmodern cultural theory into a neocolonial globalizing metaphysics. Heidegger thinks modernity turned technology into a metaphysics. Everyone thinks Descartes turned mind-body dualism into a metaphysics. And lots of us in the spirituality movement wonder if spiritual metaphysics can return with less religiosity to be a mean-giving dimension. This brings me full circle to the indigenous and Native peoples scholars who engaged in spherical thinking had a way to leave the Red Line of the Physical (a line South to North), and move about the rim of life and enter the spiritual Blue Road (through the Golden Door of the East, to the West fire element, and all about the sphere. Here is my own presentation - on this http://peaceaware.com/storytellingorganization/powerpoint/storytellingorg.htm
Rhizomes - seem to eat across dimensions.
Joe Gladsone says, " I am interpreting multi-linearity as antenarratives spreading out in all
Michael Turner says "For what is worth. I am finding abstraction easier if I think of paths. If these paths are free (and I believe they are) of planar restriction, then the paths could proceed in any dimension."