Math Art Gallery 1: MathArt created from monster curves, etc.

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Summary: I explain the geometric fun hidden in MathArt created from monster curves, etc.

About the monster curves

In geometry, there are many curves with names such as stagger curves and bat curves below. It is the one introduced in the thesis etc. as an example of the shape with an interesting characteristic.

Title: Four Seasons with Stagger curves “Spring”

Commentary: Takigami-cho in the northeastern part of Hokkaido in May is overflowing with Moss phlox flower. I expressed the shine of spring by cherry blossom color, yellow, and moe color. In addition, the large yellow part is composed of 16 small stagger curve, which increases the complexity.

The tapestry of this design is available for purchase on the following web page.

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Title: Four Seasons with The Stagger Curve “Summer”

Commentary: The image of the light blue coast around Lake Saroma in summer, where orange Daylily and yellow Squash lily is ful bloom in almost same time.  In fact, it is slightly shifted, and there is only around 10 days when both bloom at the same time. I would be happy if you could feel the time shift.

The tapestry of this design is available for purchase on the following web page.

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Title: Four Seasons with The Stagger Curve “Autumn”

Commentary: In autumn, the yellow leaves of birch, the red leaves of the Rowan, and the green of the pine tree, etc. are mixed with a slight change.This work is created entirely as a software program called Mathematica, and subtle color changes are colored using random numbers. Sixteen pieces were combined and 16 red and yellow small parts were subtly color-altered using the properties of a rising stagger curve of complexity. I collected 16 them and expressed a large stagger curve by changing red and yellow.

The tapestry of this design is available for purchase on the following web page.

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Title: Four Seasons with Stagger curves “Winter”

Commentary : Asahikawa City at the end of March is still snowing, but it makes you feel the arrival of spring. I expressed the premonition of spring by changing the color up to down, left and right.  At this time, one changed from gold to earth color from top to bottom, and the other changed from green to pale pink from left to right.This changes the color of the background from the relationship between the figure and the ground, so it feels like the color is changing in both directions. For example, the gold on the top has not changed, i.e. the row is the same color, but it also feels like it is changing.

The tapestry of this design is available for purchase on the following web page.

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Title: Rainbow Walk

Commentary: One peice of Dragon is a mathematically defined shape called the Bat curve. It is a complex shape, but it is a very unique shape with parallel, mirrored, 3-fold and 6-fold symmetry. This Dragon is magical creture, which can change skin color, and he takes a walk in his rainbow garden.

The tapestry of this design is available for purchase on the following web page.

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