Pentagonal Mandala II

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Pentagonal Mandala II

The Top of the Infinite Tower of Fibonacci

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The Top of the Infinite Tower of Fibonacci

This is a top-down depiction of the first nine terms of the Fibonacci Sequence: 1, 1, 2, 3, 5, 8, 13, 21, and 34. Since each term is simply the sum of the previous two terms, the next term (and the first one to not be shown here) is 55. The sequence, of course, continues forever . . . but if too much of the sequence is shown in this manner, the top of the tower would become too small to be seen.

120 Flying Kites #3

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120 Flying Kites #3

Created with software you can try and/or buy at http://www.software3d.com.Stella.php.

120 Flying Kites #2

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120 Flying Kites #2

Created with software you can try and/or buy at http://www.software3d.com.Stella.php.

120 Flying Kites #1

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120 Flying Kites #1

Created with software you can try and/or buy at http://www.software3d.com.Stella.php.

Sunrise 2014

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Sunrise 2014

Drawn with Geometer’s Sketchpad, and based on the numbers four and seven.

150 Irregular Hexagons, Rotating About a Common Axis

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150 Irregular Hexagons, Rotating About a Common Axis

There are sixty of the irregaular, pentagonal gaps. Also, the hexagons themselves are of three types, two of which are sixty in number, and one of which is thirty in number.

If the gaps are filled, and the color scheme changed to make each of the four polygon-types into its own color-group, this looks, instead, like this (click on it if you wish to see it enlarged). It has 210 faces.

60pentagons and 60and60and30hexagons total faces 210

(Images created with Stella 4d — software you can try yourself at http://www.software3d.com/Stella.php.)

Spin

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Spin

I Started with Eight.

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I Started with Eight.

Eight led to this.

If you think about eight long enough, you will understand.

Kryptonite

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Kryptonite

Software credit: see http://www.software3d.com/stella.php