Riken 実用理科技能検定
理検|理科検定

T-expression
Graphic Design
Math Art

$$T\sum [\sin(x^2+y^2)=t]$$ Trigonometric function “ sine or cosine ” expresses periodicity. Quadratic expression "$\left(x^2+y^2\right)$" shows circular shape.
Expression factor "$t$" associates these characteristics.
T-expression , Math Art skill is investigated by TAKADA Tashiyoshi in 2000.

In this case, it is different to see through a microscope. The expression is clear whole around. Moreover all patterns are different each other. And the interference stripes emit a characteristic beauty. $$T\sum[\sin \left(x^2-y \right)\cos \left(x-y^2 \right)=t]$$

Fig.6 T-expression is designed; $t=0$ red $t=0.9$ to $0.02$ green
$t=-0.9$ to $-0.02$ blue Periodic feature is represented with sine, cosine function and two parabolic features cross at right angles. If you reduce the expression Fig.6, you may find another world.
" $x\sin t + y\cos t$ " called rotation structure makes rotate a shape with a center of the origin either clockwise or counterclockwise.
Fig.9 $x\sin t + y\cos t =x^2+y^2$ ;90 circles make yellow round cookie.
Fig.10 $x\sin t + y\cos t = x^2+y^2-3$ ;90 circles make magenta doughnut.

T-expression

• T-expression