Graphics

This page is for animated GIFs as well as (cropped) PDF pictures and the $\LaTeX$ code that created it.

Basic Shapes (Graphs every high school student should know)

PDFLatex

$y = x$ BasicShape1 (.tex file) BasicShape1 (cropped PDF)

$y = x^2$ BasicShape2 (.tex file) BasicShape2 (cropped PDF)

$y = x^3$ BasicShape3 (.tex file) BasicShape3 (cropped PDF)

XeLatex or $\LaTeX$

$y = \sqrt x$ BasicShape4 (.tex file) BasicShape4 (cropped PDF)

$y=\frac{1}{x}$ BasicShape5 (.tex file) BasicShape5 (cropped PDF)

$y=|x|$ BasicShape6 (.tex file) BasicShape6 (cropped PDF)

$y=\lceil x \rceil$ BasicShape7 (.tex file) BasicShape7 (cropped PDF)

$y=\lfloor x \rfloor$ BasicShape8 (.tex file) BasicShape8 (cropped PDF)

$y=\sin(x)$ BasicShape9 (.tex file) BasicShape9 (cropped PDF)

$y=\cos(x)$ BasicShape10 (.tex file) BasicShape10 (cropped PDF)

$y=\tan(x)$ BasicShape11 (.tex file) BasicShape11 (cropped PDF)

$y=\tan(x)$ [asymptotes] BasicShape11B (.tex file) BasicShape11B (cropped PDF)

$y=a^{x} \mbox{ if } (a>1)$ BasicShape12 (.tex file) BasicShape12 (cropped PDF)

$y=a^{-x} \mbox{ if } (a>1)$ BasicShape13 (.tex file) BasicShape13 (cropped PDF)

$y=e^{x}$ BasicShape14 (.tex file) BasicShape14 (cropped PDF)

$y=\log_a(x)$ BasicShape15 (.tex file) BasicShape15 (cropped PDF)

$y=\ln(x)$ BasicShape16 (.tex file) BasicShape16 (cropped PDF)

$y=e^{-x}$ BasicShape17 (.tex file) BasicShape17 (cropped PDF)

$y=\arccos(x)$ arccos (.tex file) arccos (cropped PDF)

$y=\arcsin(x)$ arcsin (.tex file) arcsin (cropped PDF)

$y=\arctan(x)$ arctan (.tex file) arctan (cropped PDF)

restricted sine ressine (.tex file) ressine (cropped PDF)

restricted cosine rescos (.tex file) rescos (cropped PDF)

restricted tangent restan (.tex file) restan (cropped PDF)

Reference Triangles

45-45-90 (radians) RefTri (.tex) RefTri (PDF)

30-60-90 (radians) RefTriB (.tex) RefTriB (PDF)

45-45-90 (degrees) RefTriDeg (.tex) RefTriDeg (PDF)

30-60-90 (degrees) RefTriBDeg (.tex) RefTriBDeg (PDF)

Polygons Inscribed in Circles: Poly3Insc, Poly4Insc, PentInsc, Poly6Insc, Poly8Insc, Poly10Insc, Poly20Insc (PDF files) LaTeX files: PentInsc, Poly20Insc

Circles Inscribed in Polygons: CircInscr (.tex) CircInscr3, CircInscr4, CircInscr5, CircInscr6, CircInscr8, CircInscr10 (cropped PDF)

Fractals

Sierpinski's Triangle (created with Sage): 1 iteration: sierpinski1, 2 iterations: sierpinski2, 3 iterations: sierpinski3, 4 iterations: sierpinski4, 5 iterations: sierpinski5, 6 iterations: sierpinski6, 7 iterations: sierpinski7, 8 iterations: sierpinski8, 9 iterations: sierpinski9

Sierpinski's Carpet (created with Sage): 1 iteration: SC1, 2 iterations: SC2, 3 iterations: SC3, 4 iterations: SC4, 5 iterations: SC5, 6 iterations: SC6

Koch Snowflake (created with Sage): 0 iterations: KochSnowflake0, 1 iteration KochSnowflake1, 2 iterations: KochSnowflake2, 3 iterations: KochSnowflake3, 4 iterations: KochSnowflake4, 5 iterations: KochSnowflake5

Fractal Fern (created with Sage): FractalFern1000 (1000 points), FractalFern10K (10,000 points), FractalFern40000 (40,000 points)

Pythagorean Tree (created with Sage): Balanced: PythagoreanTree1, PythagoreanTree2, PythagoreanTree3, PythagoreanTree4,

PythagoreanTree5, PythagoreanTree6, PythagoreanTree7, PythagoreanTree8,

PythagoreanTree9, PythagoreanTree10 Unbalanced: PythagoreanTreeB1, PythagoreanTreeB2,

PythagoreanTreeB3, PythagoreanTreeB4, PythagoreanTreeB5, PythagoreanTreeB6

Thales' Theorem 1: Thales (.tex) Thales (cropped PDF) Thales1 (.tex) Thales1 ( cropped PDF)

Thales' Theorem 2: Thales2 (.tex) Thales2 (PDF)

An Important Limit: LimSin (.tex) LimSin (PDF) LimSin2 (.tex) LimSin2 (PDF)

3D Solids:

Rectangular prism: RecPrism (.tex) RecPrism (PDF) Cone: Cone (.tex) Cone (PDF)

Pyramid: Pyramid (.tex) Pyramid (PDF) Sphere: Sphere (.tex) Sphere (PDF)

Cylinder: Cylinder (.tex) Cylinder (PDF) Cube: Cube (.tex) Cube (PDF)

Pythagorean Theorem diagram: PythTh (.tex) PythTh (PDF)

Japanese Line Functions (Amidakuji): JapLineFcnDiag1 (.tex) JapLineFcnDiag1 (PDF) JapLineFcnDiag2 (.tex) JapLineFcnDiag2 (PDF) JapLineFcnDiag3 (.tex) JapLineFcnDiag3 (PDF) JapLineFcnDiag4 (.tex) JapLineFcnDiag4 (PDF)

Amidakuji points diagram: JapLineFcnPointsDiag (.tex) JapLineFcnPointsDiag (PDF)

Pythagorean Theorem Converse diagram: PythConvDiag (.tex) PythConvDiag (PDF)

3D distance using Pythagorean Theorem: Pyth3D (.tex) Pyth3D (PDF)

Area under $y=x^2$ with upper and lower Riemann sums: Intx2Region (tex) Intx2Region (PDF) Intx2Low (tex) Intx2Low (PDF) Intx2Up (tex) Intx2Up (PDF)

Area under $y=x^2$ with 25 rectangles without/with magnifying glass: Intx2Up25 (tex) Intx2Up25 (PDF) Intx2Up25Spy (tex) Intx2Up25Spy (PDF)

Paint Can Curve: PaintFunc (tex) PaintFunc (PDF)

H-Trees (PDF files): H-Tree1iteration H-Tree2iterations H-Tree3iterations H-Tree4iterations H-Tree-5iterations H-Tree6iterations H-Tree with varying thicknesses: H-Tree6V

Area of Circle (PDF): AreaOfCircle4 AreaOfCircle6 AreaOfCircle8 AreaOfCircle10 AreaOfCircle12 AreaOfCircle14 AreaOfCircle40

Prime Function (PDF): primefunction

Acute/obtuse triangles for Law of Sines/Cosines: AcuteTri (tex) AcuteTriB (tex) ObtuseTri (tex) ObtuseTriB (tex) AcuteTri (PDF) AcuteTriB (PDF) ObtuseTri (PDF) ObtuseTriB (PDF)

Newton's Method (chaos): EACH FILE IS 10 MB NewtonsMethod250_5_7 (PDF) NewtonsMethod250_5_8 (PDF)

Dragon Curve: DragonCurve12 (PDF) DragonCurve18iter (PDF)

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