Okay, let's tackle this question. The patient is a girl with verrucous lesions at 2 weeks old, then linear bands of hyperkeratotic papules and nodules, followed by whorled pigmentation. The mother has a history of in utero child death and hypopigmented atrophic linear lesions.

First, I need to recall the possible diagnoses. Verrucous lesions in newborns could be related to warts, but the progression to linear bands and hyperkeratotic features makes me think of a genetic condition. The mother's history of in utero child death and her own hypopigmented lesions might indicate an inherited disorder with maternal transmission.

Conditions like epidermodysplasia verruciformis come to mind, but that's usually later in life. Another possibility is incontinentia pigmenti (IP). IP is an X-linked dominant disorder with characteristic skin findings that progress through stages. The initial verrucous lesions in infancy, followed by linear hyperkeratotic bands, then whorled pigmentation, and finally atrophic hypopigmented lesions. It's also associated with other systemic issues like dental abnormalities and neurological problems. Since it's X-linked dominant, mothers can pass it to their sons, who may die in utero or have severe manifestations. The mother's history of in utero child death and her own hypopigmented lesions fit with IP.

The other options might be other skin conditions like tuberous sclerosis or linear nevus sebaceus, but those don't present with the same progression. So the most likely diagnosis here is incontinentia pigmenti.

**Core Concept**
This case highlights **incontinentia pigmenti (IP)**, an X-linked dominant disorder characterized by a distinct skin lesion progression and maternal transmission patterns. Key features include verrucous lesions in infancy, linear hyperkeratotic bands, and whorled pigmentation, alongside maternal reproductive complications (e.g., fetal demise).

**Why the Correct Answer is Right**
Incontinentia pigmenti is caused by **mutations in the NEMO gene (IKBKG)** on the X chromosome. The disease manifests in stages: **Stage I** (verrucous lesions at birth), **Stage II** (linear hyperkeratotic bands), **Stage III** (whorled pigmentation), and **Stage IV** (atrophic hypopigmented scars). Maternal transmission is critical: affected mothers pass the mutation to sons (who often die in utero) and daughters (who are carriers or mosaic). The described clinical progression and maternal history align perfectly with IP.

**Why Each Wrong Option is Incorrect**
**Option A:** Epidermodysplasia verruciformis lacks the linear/whorled skin pattern and maternal fetal demise history.
**Option B:** Tuberous sclerosis presents with angiofibromas, hypomelanotic macules, and seizures, not hyperkeratotic bands.
**Option C:** Linear nevus sebaceus involves sebaceous glands in a linear pattern, but lacks the multi-stage skin evolution and maternal transmission.
**Option D:** Lichen striatus resolves spontaneously and lacks the pigmentation changes seen here.

**Clinical Pearl / High-Yield Fact**
Never forget the **"IP mnemonics"**: **I**ncontinentia **P**igmenti

✓ Correct Answer: D. Incontinentia pigmenti