The circle seen as a graph

I continue to play around with word recurrence to see just how 'subjective' it is. Perhaps I will publish more diagrams later. The graphs are pretty but they contain errors - false matches and missing points - since they are automated with a somewhat defective algorithm to derive a root from a lexical word, which I hope I will eventually publish as a web-service.  It is technical fun at least.

The graph on the right is the set of pairs of words (words that occur only twice in the book) where the second of the pair is in chapter 12. These sets are everywhere - and while thy may be 'significant' I am beginning to think that sometimes we 'overdo' structure.  Anyway, I am hoping over the next indeterminate period of time to develop an 'eyeball' for structure with various apertures: frequency, placement, etc. This will be a way of converting text into a map and allowing some forms of drill down.

On the left is an image of the circle we examined a few days ago. The three dimensional graph shows repeated words in order by verse.

Here is the text and there is a hand drawn diagram here.  All these ways of looking should show the same structural judgment.

הִנֵּה אֲשֶׁר רָאִיתִי אָנִי טוֹב אֲשֶׁר יָפֶה לֶאֱכוֹל וְלִשְׁתּוֹת וְלִרְאוֹת טוֹבָה בְּכָל עֲמָלוֹ שֶׁיַּעֲמֹל תַּחַת הַשֶּׁמֶשׁ מִסְפַּר יְמֵי חַיָּו אֲשֶׁר נָתַן לוֹ הָאֱלֹהִים כִּי הוּא חֶלְקוֹ	5.17	Note I have seen, I have, a good that is beautiful, to eat and to drink and to see good in all his toil that he toils --- under the sun in the tale of the days of his life that this God gives him for it is his portion
גַּם כָּל הָאָדָם אֲשֶׁר נָתַן לוֹ הָאֱלֹהִים עֹשֶׁר וּנְכָסִים וְהִשְׁלִיטוֹ לֶאֱכֹל מִמֶּנּוּ וְלָשֵׂאת אֶת חֶלְקוֹ וְלִשְׂמֹחַ בַּעֲמָלוֹ זֹה מַתַּת אֱלֹהִים הִיא	5.18	Even every earthling to whom this God gives riches and wealth and power to eat from them and to lift up its portion and to be happy in his toil this is the giving of God here and now
כִּי לֹא הַרְבֵּה יִזְכֹּר אֶת יְמֵי חַיָּיו כִּי הָאֱלֹהִים מַעֲנֶה בְּשִׂמְחַת לִבּוֹ	5.19	For it will not much remember the days of its life for this God answers in the happiness of its heart
יֵשׁ רָעָה אֲשֶׁר רָאִיתִי תַּחַת הַשָּׁמֶשׁ וְרַבָּה הִיא עַל הָאָדָם	6.1	Here is an evil which I have seen --- under the sun and frequent it is with the earthling
אִישׁ אֲשֶׁר יִתֶּן לוֹ הָאֱלֹהִים עֹשֶׁר וּנְכָסִים וְכָבוֹד וְאֵינֶנּוּ חָסֵר לְנַפְשׁוֹ מִכֹּל אֲשֶׁר יִתְאַוֶּה וְלֹא יַשְׁלִיטֶנּוּ הָאֱלֹהִים לֶאֱכֹל מִמֶּנּוּ כִּי אִישׁ נָכְרִי יֹאכְלֶנּוּ זֶה הֶבֶל וָחֳלִי רָע הוּא	6.2	a human such that to him this God has given riches and wealth and glory so he has nothing lacking in his life from all that he desires and this God does not give him power to eat of them for an alien human eats them This is futility and it is an evil sickness