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$This is a quaternion Mandelbrot fractal. It has five components that are combined with the parallel resistor formula. \[\begin{align*} {q}_{1} &= 0\\ {q}_{n+1} &= \frac{1}{\sum_{n=1}^{5}\frac{1}{q^2 + qp - {p}_{n}}} \end{align*}\] #Fractal #generativeart$ 25 views This is a quaternion Mandelbrot fractal. It has five components that are combined with the parallel resistor formula. \[\begin{align*} {q}_{1} &= 0\\ {q}_{n+1} &= \frac{1}{\sum_{n=1}^{5}\frac{1}{q^2 + qp - {p}_{n}}} \end{align*}\] #Fractal #generativeart $Here is an animation of the quaternion Mandelbrot fractal I posted previously. #Fractal #generativeart$ 8 views Here is an animation of the quaternion Mandelbrot fractal I posted previously. #Fractal #generativeart $This is a quaternion Mandelbrot fractal. It has seven components that are combined with the parallel resistor formula. The view is from deep inside the fractal. \[\begin{align*} {q}_{1} &= 0\\ {q}_{n+1} &= \frac{1}{\sum_{n=1}^{7}\frac{1}{q^2 + qp - {p}_{n}}} \end{align*}\] #Fractal$ 7 views This is a quaternion Mandelbrot fractal. It has seven components that are combined with the parallel resistor formula. The view is from deep inside the fractal. \[\begin{align*} {q}_{1} &= 0\\ {q}_{n+1} &= \frac{1}{\sum_{n=1}^{7}\frac{1}{q^2 + qp - {p}_{n}}} \end{align*}\] #Fractal $Here is an animation of the Newton's method fractal I posted previously. #Fractal #generativeart$ 7 views Here is an animation of the Newton's method fractal I posted previously. #Fractal #generativeart

📊 Post engagement

📊 Activity & format

Posting cadence

0.16 / week

A lower-frequency account — each post lands with more weight.

Content mix

Mostly images

Recent: 0 text · 6 image · 6 video.

Follower / following

1×

Follows 94 back. A more reciprocal / networked account.

Recent posts

View on Mastodon ↗

▶ 🔥 Top post This is a quaternion Mandelbrot fractal. It has five components that are combined with the parallel resistor formula. \[\begin{align*} {q}_{1} &= 0\\ {q}_{n+1} &= \frac{1}{\sum_{n=1}^{5}\frac{1}{q^2 + qp - {p}_{n}}} \end{align*}\] #Fractal #generativeart ★ 25

This is a quaternion Mandelbrot fractal. It has seven components that are combined with the parallel resistor formula. The view is from deep inside the fractal. \[\begin{align*} {q}_{1} &= 0\\ {q}_{n+1} &= \frac{1}{\sum_{n=1}^{7}\frac{1}{… ★ 7

▶ Here is an animation of the Newton's method fractal I posted previously. #Fractal #generativeart ★ 3

This is a triplex Newton's method fractal. Triplex is a vector product algebra of dimension 3. This fractal formula has a filter to better show detail deep inside the fractal. \[\begin{align*} f(x)&= {x}^{4} - 1\\ N(x) &= x - \frac{f(x)}{… ★ 2

▶ Here is an animation of the Newton's method fractal I posted previously. #Fractal #generativeart ★ 7

This is a triplex Newton's method fractal. Triplex is a vector product algebra of dimension 3. \[\begin{align*} f(x)&= {x}^{5} - 1\\ N(x) &= x - \frac{f(x)}{f’(x)}\\ {x}_{1} &= tp\\ {x}_{n+1} &= N({x}_{n}) \end{align*}\] #Fractal #gener… ★ 5

This is a quaternion Mandelbrot fractal. It has ten components arranged in a line along the x axis. The R function rotates the real and i terms about the j axis by 100 degrees each iteration. The components are combined with the parallel r… ★ 3

▶ Here is an animation of the quaternion Mandelbrot fractal I posted previously. #Fractal #generativeart ★ 2

This is a quaternion Mandelbrot fractal. It has six components that are combined with the parallel resistor formula. \[\begin{align*} {q}_{1} &= 0\\ {q}_{n+1} &= \frac{1}{\sum_{n=1}^{6}\frac{1}{q^3 + qp - {p}_{n}}} \end{align*}\] #Fractal… ★ 1

▶ Here is an animation of the quaternion Mandelbrot fractal I posted previously. #Fractal #generativeart ★ 8

This is a quaternion Mandelbrot fractal. It has four components that are combined with the parallel resistor formula. \[\begin{align*} {f}_{1}(q)&= q^3 + qp1 - 4\\ {f}_{2}(q)&= q^3 + qp2 - 4\\ {f}_{3}(q)&= q^3 + qp3 - 4\\ {f}_{4}(q)&= q^3 … ★ 1

▶ Here is an animation of the quaternion Mandelbrot fractal I posted previously. #Fractal #generativeart ★ 3

🐘 Community & instance

Home server

mathstodon.xyz

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On Mastodon since

Nov 2022

Joined in the Twitter-exodus wave of late 2022 — part of the migration that made Mastodon a real destination.

💡 Facts

🗓️Joined Mastodon in 2022 — 3 years ago.

👁️Averages 6 views per post.

📤Posts about 0.2× per week.

🕵️ Fake follower check

Estimated

66/100

Good Credibility score

89%

Real Real audience

Low Fake-follower risk

High Data confidence

Est. 89% real, active audience · Low fake-follower risk.
Engagement (~6.1% of followers engage each post) is around typical for Mastodon.
Established account (3+ years old).

Heuristic estimate from engagement, follower ratios, account age & growth — a screening signal, not a guarantee.

About

I like fractals, math, and science in general. There were no fractal programs for the Macintosh that I liked so I wrote one called Fracton. Fracton is free and is on the Mac App Store (link below). Fracton can draw 2D and 3D fractals. It can make movies, anaglyphs, and VR content. It has a formula compiler so you can make any fractal you wish. I plan to use Mathstodon to share some fractals I have found and have a forum to discuss fractal math and mysteries.

📸 Gallery

$This is a quaternion Mandelbrot fractal. It has seven components that are combined with the parallel resistor formula. The view is from deep inside the fractal. \[\begin{align*} {q}_{1} &= 0\\ {q}_{n+1} &= \frac{1}{\sum_{n=1}^{7}\frac{1}{q^2 + qp - {p}_{n}}} \end{align*}\] #Fractal$ $This is a quaternion Mandelbrot fractal. It has five components that are combined with the parallel resistor formula. \[\begin{align*} {q}_{1} &= 0\\ {q}_{n+1} &= \frac{1}{\sum_{n=1}^{5}\frac{1}{q^2 + qp - {p}_{n}}} \end{align*}\] #Fractal #generativeart$ $Here is an animation of the Newton's method fractal I posted previously. #Fractal #generativeart$ $This is a triplex Newton's method fractal. Triplex is a vector product algebra of dimension 3. This fractal formula has a filter to better show detail deep inside the fractal. \[\begin{align*} f(x)&= {x}^{4} - 1\\ N(x) &= x - \frac{f(x)}{f’(x)}\\ {x}_{1} &= tp\\ {x}_{n+1} &= N({x}_{n}) \end{align*}\] #Fractal #generativeart$ $Here is an animation of the Newton's method fractal I posted previously. #Fractal #generativeart$ $This is a triplex Newton's method fractal. Triplex is a vector product algebra of dimension 3. \[\begin{align*} f(x)&= {x}^{5} - 1\\ N(x) &= x - \frac{f(x)}{f’(x)}\\ {x}_{1} &= tp\\ {x}_{n+1} &= N({x}_{n}) \end{align*}\] #Fractal #generativeart$ $This is a quaternion Mandelbrot fractal. It has ten components arranged in a line along the x axis. The R function rotates the real and i terms about the j axis by 100 degrees each iteration. The components are combined with the parallel resistor formula. The symmetry of the components cause the image to look like a face. \[\begin{align*} {q}_{1} &= 0\\ {q}_{n+1} &= R(\frac{1}{\sum_{m=1}^{10}\fra$ $Here is an animation of the quaternion Mandelbrot fractal I posted previously. #Fractal #generativeart$

🔀 Audience overlap

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Evan 🐍🦀🦕 18%

Douglas Camata 18%

Being Jeffredo 16%

Boston Blake 15%

Scumbutt 12%

kcm 11%

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