Here is the analemma from where you stand: a year of the Sun at mean noon. Two things make it, the orbit's ellipse and the axis's tilt. The next steps give you a different Earth, one change at a time, and redraw it.
Stand the axis upright. The Sun stays on the celestial equator all year and the figure flattens into a short dash along it: the ellipse's ±7.7 minutes alone. The dotted line is our real Sun; the card tracks the equation of time.
Keep the tilt and make the orbit a circle instead. Now the figure is a clean, symmetric 8 — two equal lobes, the tilt's two waves a year, ±9.9 minutes. Ours is lopsided because the ellipse is added on top.
Keep both, and move perihelion, the orbit's nearest point, from early January to early July. The lobes trade sizes: the big loop moves to the other half of the year. Which lobe is bigger is a fact about the calendar date of perihelion.
Last, give the Earth the orbit and tilt of Mars: five and a half times the eccentricity. The ellipse now outweighs the tilt, and the 8 closes up into a teardrop — the analemma a sundial on Mars would trace.