Golden-angle phyllotaxis and Venus’s approximate five-cycle retrograde pattern

Keith Critchlow | Time Stands Still: The Timeless Geometry of the Megalithic Arts | Mega 2007 AUDIO
Source: Keith Critchlow | Time Stands Still: The Timeless Geometry of the Megalithic Arts | Mega 2007 AUDIO by MegalithomaniaUK

Phyllotaxis describes the arrangement of leaves and florets around plant axes. Its divergence angle is commonly close to the golden angle of about 137.5°, which is related to the golden ratio of 1.618. Fibonacci numbers and fivefold patterns occur in some flowers, but this is neither universal nor a five-pointed-star sequence.

The five planets known to ancient astronomers as wandering stars were Mercury, Venus, Mars, Jupiter and Saturn. Viewed from Earth, Venus completes a retrograde loop about every 584 days. Across five synodic periods, or roughly eight years, those successive loops form an approximate pentagram—not a perfect one. The video argues that fivefold symmetry is fundamental to life on Earth, but the evidence does not establish that sweeping claim.

Key facts

  • Phyllotaxis commonly uses a divergence angle near the golden angle (about 137.5°), related to the golden ratio (1.618); it is not a rose-specific discovery.
  • Fibonacci-based fivefold patterns occur in some flowers, but floral unfolding does not universally follow a five-pointed-star sequence.
  • The video argues that fivefold symmetry is fundamental to life on Earth, but this broad claim is not established.
  • The five classical wandering planets were Mercury, Venus, Mars, Jupiter and Saturn.
  • Venus’s successive retrograde loops, spaced about 584 days apart, form an approximate—not perfect—pentagram over five cycles, roughly eight years.

Related stories

Sources

megalithomania.co.uk
Linked in video description
megalithomania.co.uk
Linked in video description
Biophysical optimality of the golden angle in phyllotaxisnature.com
by T Okabe · 2015 · Cited by 52 — typically the golden angle of 137.5°. flower petals and other homologous organs, a phenomenon known as phyllotaxis, the divergence angle at the ...
Phyllotaxis -- from Wolfram MathWorldmathworld.wolfram.com
The figure above shows a common mathematical model in which florets are placed at the points of a Vogel spiral whose divergence angle is the golden angle. The ...
Fibonacci Numbers - Golden Anglescience.smith.edu
When this occurs, the angle between successive leaves or botanical element is close to the Golden Angle - about 137.5o, related to the golden mean. The Aonium ...
Fibonacci Numbers & The Golden Ratio in Flowerscazamic.com
each petal is placed at 0.618034 per turn (out of a 360° circle) The golden ratio is found in all sorts of nature
Full article: Emergence of the Golden Angle in Flower Headstandfonline.com
by P Prusinkiewicz · 2026 — Phyllotaxis—the arrangement of plant organs around their supporting axes—is an important attribute of plant architecture. Recent experimental data show that the ...
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